Publications
Chronological
Books
M. K. Verma, Practical Numerical Computing Using Python: Scientific & Engineering Applications, Independent Publ. (2021).
M. K. Verma, Python Programming for School Students, Independent Publ. (2021).
M. K. Verma, Energy Transfers in Fluid Flows: Multiscale and Spectral Perspectives, Cambridge Univ. Press, Cambridge (2019).
M. K. Verma, Physics of Buoyant Flows: From Instabilities to Turbulence, World Scientific, Singapore (2018).
M. K. Verma, Introduction to Mechanics, 2nd Edition, Universities Press, Hyderabad (2016).
Book chapter
M. K. Verma, Hierarchical financial structures with money cascade, in New Perspectives and Challenges in Econophysics and Sociophysics, F. Abergel, B. Chakrabarti, and A. Chakraborti, D. Deb, and K. Sharma (eds.) p. 61-69 (2019). PDF
Review Papers
M. K. Verma, Variable Energy Flux in Turbulence, J. Phys. A, 55, 013002 (2022). PDF
M. K. Verma, Turbulent Thermal Convection, Scholarpedia, 14(12):53051 (2019).
M. K. Verma, Anisotropy in quasi-static magnetohydrodynamic turbulence, Rep. Prog. Phys., 80, 087001 (2017). PDF video-tutorial
M. K. Verma, A. Kumar, and A. Pandey, Phenomenology of buoyancy-driven turbulence: recent results, New J. Phys., 19, 025012 (2017). PDF video-tutorial [Covered in natureINDIA as a news item by Arati Halbe: Supercomputers overturn 50-year-old conjecture of fluid physics].
M. K. Verma, Statistical theory of magnetohydrodynamics turbulence: Recent results, Phys. Rep., 401, 229-380 (2004). PDF
M. K. Verma, Introduction to Statistical Theory of Fluid Turbulence, arXiv:nlin/0510069 (2005). PDF
Popular web-articles
Importance of Multiscale Description in Science (Part I of the series on multiscale description) (2020)
Single-scale and multiscale diffusion (Part II of the series on multiscale description) (2020)
Fundamental and Derived Laws in Multiscale Systems (Part III of the series on multiscale description) (2020)
Flattening the much-talked COVID-19 curve—How close are we in India? (2020)
Journal Papers
R. Samuel and M. K. Verma, Bolgiano-Obukhov scaling in two-dimensional Rayleigh-Bénard convection at extreme Rayleigh numbers, Phys. Rev. Fluids, 9, 023502 (2024). PDF
E. Nuriyev, R. R. Manumachu, S. Aseeri, M. K. Verma, A. L. Lastovetsky, SUARA: A scalable universal allreduce communication algorithm for acceleration of parallel deep learning applications, J. Parallel. Distr. Comp., 183, 104767 (2024). PDF
M. Verma, S. Chatterjee, G. Garg, B. Sharma, N. Arya, S. Kumar, A. Saxena, M. K Verma, Scalable Multi-node Fast Fourier Transform on GPUs, SN Computer Science, 4, 625 (2023). PDF
P Deshpande, D Meena, S Tripathi, A Bhattacharya, MK Verma, Event-based fog climatology and typology for cities in Indo-Gangetic plains, Urban Climate, 51, 101642 (2023). PDF
M. K. Verma and S. Alam, Renormalization of the shell model of turbulence, Phys. Rev. E, 107, 064118 (2023). PDF
S. Alam, M. K. Verma, and P. Joshi, Bolgiano-Obukhov spectrum and mixing efficiency in stably stratified turbulence, Phys. Rev. E, 107, 055106 (2023). PDF
M. K. Verma, R. Agrawal, P. K. Yadav, and S. Puri, Nonlinear energy dissipation and transfers in coarsening systems, Phys. Rev. E, 107, 034207 (2023). PDF
S. A. Aseeri, A. G. Chatterjee, M. K. Verma, D. E. Keyes, A scheduling policy to save 10% of communication time in parallel fast Fourier transform, Concurrency and Computation: Practice and Experience 35 (15), e6508 (2023). PDF
M. K. Verma and S. Chatterjee, Hydrodynamic Entropy and Emergence of Order in Two-dimensional Euler Turbulence, Phys. Rev. Fluids, 7, 114608 (2022). PDF Popular summary here
M. K. Verma, Taylor's frozen-in hypothesis for magnetohydrodynamic turbulence and solar wind, In the Special issue “Plasma Physics of the Sun in Honor of Eugene Parker”, Phys. Plasmas, 29, 082902 (2022). PDF
M. K. Verma, Magnetohydrodynamic Turbulence: Chandrasekhar's Contributions and Beyond, J. Astrophys. Astr., 43, 58 (2022). PDF
S. Alam, P. K. Sahu, and M. K. Verma, Universal functions for Burgers turbulence, Phys. Rev. Fluids, 7, 074605 (2022). PDF
R. Samuel, R. Samtaney, and M. K. Verma, Large-eddy simulation of Rayleigh–Bénard convection at extreme Rayleigh numbers, Phys. Fluids, 34, 075133 (2022). PDF
M. K. Verma, S. Chatterjee, A. Sharma, and A. Mohapatra, Equilibrium states of Burgers and Korteweg–de Vries equations, Phys. Rev. E, 105, 034121 (2022). PDF
A. Ojha, M. Anas, A. Ranjan, P. Joshi, and M. K. Verma, Helicity segregation by Ekman pumping in laminar rotating flows with gravity orthogonal to rotation, Phys. Rev. Fluids, 7, 034801 (2022). PDF
S. Bhattacharya, M. K. Verma, and A. Bhattacharya, Predictions of Reynolds and Nusselt numbers in turbulent convection using machine-learning models, Phys. Fluids, 34, 025102 (2022). PDF
M. K. Verma, Variable Energy Flux in Turbulence, J. Phys. A, 55, 013002 (2022). PDF
R. Ranjan, S. Aryan, and M. K. Verma, Characterization of the Second Wave of COVID-19 in India, Curr. Sci., 121, 85 (2021).
M. K. Verma, M. K. Sharma, S. Chatterjee, and S. Alam, Variable Energy Fluxes and Exact Relations in Magnetohydrodynamics Turbulence, Fluids, 6, 225 (2021). PDF
S. Bhattacharya, M. K. Verma, and R. Samtaney, Prandtl number dependence of the small-scale properties in turbulent Rayleigh-Bénard convection, Phys. Rev. Fluids 6, 063501 (2021). PDF
A. Sharma, S. Sapkal, and M. K. Verma, Universal Epidemic Curve for COVID‐19 and Its Usage for Forecasting, Trans Indian Natl. Acad. Eng., 6, 405 (2021). PDF
R. Samuel, S. Bhattacharya, A. Asad, S. Chatterjee, M. K. Verma, R. Samtaney, S. F. Anwer, SARAS: A general-purpose PDE solver for fluid dynamics, J. Open Source Softw., 6, 2095 (2021). PDF
S. Sadhukhan, S. Bhattacharya, and M. K. Verma, fastSF: A parallel code for computing the structure functions of turbulence, Journal of Open source Software 6, 2185 (2021). PDF
S. Bhattacharya, M. K. Verma, and R. Samtaney, Revisiting Reynolds and Nusselt numbers in turbulent thermal convection, Phys. Fluids, 33, 015113 (2021). PDF
M. Anas, P. Joshi, and M. K. Verma, Freely decaying turbulence in a finite domain at finite Reynolds number, Phys. Fluids, 32, 095105 (2020). PDF
S. Chatterjee, A. Asad, B. Shayak, S. Bhattacharya, S. Alam, and M. K. Verma, Evolution of COVID-19 pandemic: Power-law growth and saturation, JISA, 58, 1-31 (2020). PDF
S. Chatterjee and M. K. Verma, Kolmogorov flow: Linear stability and energy transfers in a minimal low-dimensional model, Chaos, 30, 073110 (2020). PDF
M. K. Verma, A. Ali, and S. Chatterjee, COVID‐19 Pandemic: Power Law Spread and Flattening of the Curve, Trans Indian Natl. Acad. Eng., 5, 105 (2020). PDF
M. K. Verma, S. Alam, and S. Chatterjee, Turbulent drag reduction in magnetohydrodynamic and quasi-static magnetohydrodynamic turbulence, Phys. Plasmas, 27, 052301 (2020). PDF
M. K. Verma, Boltzmann equation and Hydrodynamic equations: Their equilibrium and nonequilibrium behaviour, Philos. Trans. Royal Soc. A , 378:20190470 (2020). PDF
M. K. Verma, R. Samuel, S. Chatterjee, S. Bhattacharya, and A. Ali, Challenges in fluid flow simulations using Exascale computing, S. N. Computer Science, 1:178 (2020). PDF [appeared in hpcwire highlights, see here]
F. Plunian, A. Teimurazov, R. Stepanov, and M. K. Verma, Inverse cascade of energy in helical turbulence, J. Fluid Mech., 895, A13 (2020). PDF
M. K. Verma, A. Kumar, and A. Gupta, Hydrodynamic turbulence: Sweeping effect and Taylor’s hypothesis via correlation function, Trans Indian Natl. Acad. Eng., 5, 649 (2020). PDF
A. Asad, S. Srivastava, M. K. Verma, Evolution of COVID-19 Pandemic in India, Trans Indian Natl. Acad. Eng. 5, 711 (2020). PDF
M. K. Verma, Microscopic Laws vs. Macroscopic Laws: Perspectives from Kinetic Theory and Hydrodynamics, Trans Indian Natl. Acad. Eng., 5, 491 (2020). PDF
M. Anas and M. K. Verma, Modelling Ekman and quasi-static magnetohydrodynamic turbulence using Pao’s hypothesis, Phys. Rev. Fluids, 4, 104611 (2019). PDF
A. Gupta, R. Jayaraman, A. G. Chatterjee, S. Sadhukhan, R. Samtaney, and M. K. Verma, Energy and enstrophy spectra and fluxes for the inertial-dissipation range of two-dimensional turbulence, Phys. Rev. E, 100, 053101 (2019). PDF
S. Bhattacharya, S. Sadhukhan, A. Guha, and M. K. Verma, Similarities between the structure functions of thermal convection and hydrodynamic turbulence, Phys. Fluids, 31, 115107 (2019). PDF
F. Plunian, R. Stepanov, and M. K. Verma, On uniqueness of transfer rates in magnetohydrodynamic turbulence, J. Plasma Phys., 85, 905850507 (2019). PDF
A. Vasilev, P. Frick, A. Kumar, R. Stepanov, A. Sukhanovskii, and M. K. Verma, Transient flows and reorientations of large-scale convection in a cubic cell, Int. Commun. Heat Mass Transfer, 108, 104319 (2019). PDF
M. K. Verma, Asymmetric energy transfers in driven nonequilibrium systems and arrow of time, Eur. Phys. J. B, 90, 190 (2019) PDF [Covered in Deccan Herald, Oct. 5, 2019 Science and Environment Section Link].
M. K. Sharma, M. K. Verma, and S. Chakraborty, Anisotropic energy transfers in rapidly rotating turbulence, Phys. Fluids, 31, 085117 (2019). PDF
S. Sadhukhan, R. Samuel, F. Plunian, R. Stepanov, R. Samtaney, and M. K. Verma, Enstrophy transfers in helical turbulence, Phys. Rev. Fluids, 4, 084607 (2019). PDF
J. K. Bhattacharjee, A. Kumar, and M. K. Verma, Turbulence in a stably stratified fluid: Onset of global anisotropy as a function of the Richardson number, Phys. Scr., 94, 125008, (2019). PDF
Y. Nandukumar, S. Chakraborty, M. K. Verma, and R. Lakkaraju, On heat transport and energy partition in thermal convection with mixed boundary conditions, Phys. Fluids, 31, 066601 (2019). PDF
S. Alam, A. Guha, and M. K. Verma, Revisiting Bolgiano-Obukhov scaling for moderately stably stratified turbulence, J. Fluid Mech., 875, 961 (2019). PDF
S. Bhattacharya, R. Samtaney, and M. K. Verma, Scaling and spatial intermittency of thermal dissipation in turbulent convection, Phys. Fluids, 31, 075104 (2019). PDF
M. K. Verma, Contrasting turbulence in stably stratified flows and thermal convection, Phys. Scr., 94, 064003 (2019). PDF
S. Vashishtha, R. Samuel, A. G. Chatterjee, R. Samtaney, and M. K. Verma, Large eddy simulation of hydrodynamic turbulence using renormalized viscosity, Phys. Fluids, 31, 065102 (2019). PDF
V. Titov, R. Stepanov, N. Yokoi, M. K. Verma, and R. Samtaney, Cross helicity sign reversals in the dissipative scales of magnetohydrodynamic turbulence, Magnetohydrodynamics, 55, 225-232 (2019); also in Seisan Kenkyu, 71, 9-13 (2019) (In Japanese).
M. K. Sharma, M. K. Verma, and S. Chakraborty, On the energy spectrum of rapidly rotating forced turbulence, Phys. Fluids, 30, 115102 (2018). PDF
S. Vashishtha, M. K. Verma, and R. Samuel, Large eddy simulations of turbulent thermal convection using renormalized viscosity and thermal diffusivity, Phys. Rev. E. 98, 043109 (2018). PDF
M. K. Verma, A. Kumar, and A. Pattanayak, Stochastic bistable systems, and competing hysteresis and phase coexistence, JETP, 127, 549 (2018). PDF
A. Pandey, M. K. Verma, and M. Barma, Reversals in infinite-Prandtl-number Rayleigh-Bénard convection, Phys. Rev. E 98, 023109 (2018). PDF
M. K. Verma, A. Kumar, P. Kumar, S. Barman, A. G. Chatterjee, R. Samtaney, and R. A. Stepanov, Energy fluxes and spectra in the dissipation range of turbulent and laminar flows, Fluid Dyn., 53, 862-873, (2018). PDF
H. Khatri, J. Sukhatme, A. Kumar and M. K. Verma, Surface ocean enstrophy, kinetic energy fluxes, and spectra from satellite altimetry, J. Geophys. Res.: Oceans, 123, 3875 (2018). PDF
A. Kumar and M. K. Verma, Applicability of Taylor’s hypothesis in thermally driven turbulence, Royal Soc. Open Sci., 5, 172152 (2018). PDF
M. K. Sharma, A. Kumar, M. K. Verma, and S. Chakraborty, Statistical features of rapidly rotating decaying turbulence: Enstrophy and energy spectra and coherent structures, Phys. Fluids, 30, 045103 (2018). PDF
S. Bhattacharya, A. Pandey, A. Kumar, and M. K. Verma, Complexity of viscous dissipation in turbulent thermal convection, Phys. Fluids, 30, 031702 (2018). PDF
A. G. Chatterjee, M. K. Verma, A. Kumar, R. Samtaney, B. Hadri, and R. Khurram, Scaling of a Fast Fourier Transform and a pseudo-spectral fluid solver up to 196608 cores, J. Parallel Distrib. Comput.,113, 77 (2018). PDF
A. S. Teimurazov, R. A. Stepanov, M. K. Verma, S. Barman, A. Kumar and S. Sadhukhan, Direct numerical simulation of homogeneous isotropic turbulence with the TARANG code, J. Appl. Mech. Tech. Phys., 59, 1279 (2018) (in English); Computational Continuum Mechanics, 10, 474 (2018) (in Russian). PDF
M. Mannattil, A. Pandey, M. K. Verma, and S. Chakraborty, On the applicability of low-dimensional models for convective flow reversals at extreme Prandtl numbers, Eur. Phys. J. B, 90, 259 (2017). PDF
R. Kumar and M. K. Verma, Amplification of large-scale magnetic field in nonhelical magnetohydrodynamics, Phys. Plasmas, 24, 092301 (2017). PDF
R. Bandopadhyay and M. K. Verma, Discrete symmetries in dynamo reversals, Phys. Plasmas, 24, 062307 (2017). PDF
M. K. Verma, A. Kumar, and A. Pandey, Phenomenology of buoyancy-driven turbulence: recent results, New J. Physics, 19, 025012 (2017). PDF
M. K. Verma, Anisotropy in quasi-Static magnetohydrodynamic turbulence, Rep. Prog. Phys., 80, 087001 (2017). PDF
A. Kumar, M. K. Verma, and J. Sukhatme, Phenomenology of two-dimensional stably stratified turbulence under large-scale forcing, J. Turb., 18, 3:219 (2017). PDF
S. Sundar, M. K. Verma, A. Alexakis, and A. G. Chatterjee, Dynamic anisotropy in MHD turbulence induced by mean magnetic field, Phys. Plasmas, 24, 022304 (2017). PDF
A. Pandey, A. Kumar, A. G. Chatterjee, and M. K. Verma, Dynamics of large-scale quantities in Rayleigh-Bénard convection, Phys. Rev. E, 94, 053106 (2016). PDF
D. Nath, A. Pandey, A. Kumar, and M. K. Verma, Near isotropic behavior of turbulent thermal convection, Phys. Rev. Fluids, 1, 064302 (2016). PDF
M. K. Verma and R. Kumar, Dynamos at extreme magnetic Prandtl numbers: Insights from shell models, J. Turbul., 17, 1112 (2016). PDF
A. Pandey and M. K. Verma, Scaling of large-scale quantities in Rayleigh-Bénard convection, Phys. Fluids, 28, 095105 (2016). PDF
A. Pandey, M. K. Verma, A. Chatterjee, and B. Dutta, Similarities between 2D and 3D convection for large Prandtl number, Pramana-J. Phys., 87:13 (2016). PDF
R. Kumar, M. K. Verma, and R. Samtaney, Energy transfers in dynamos with small magnetic Prandtl numbers, J. Turbul., 16, 1114 (2015). PDF
P. K. Mishra, J. Herault, S. Fauve, and M. K. Verma, Dynamics of reversals and condensates in two-dimensional Kolmogorov flows, Phys. Rev. E, 91, 053005 (2015). PDF
M. K. Verma, S. C. Ambhire, and A. Pandey, Flow reversals in turbulent convection with free-slip walls, Phys. Fluids, 27, 047102 (2015). PDF
A. Kumar and M. K. Verma, Shell model for buoyancy-driven turbulence, Phys. Rev. E, 91, 043014 (2015). PDF
M. K. Verma, A. Kumar, and A. G. Chatterjee, Energy spectrum and flux of buoyancy-driven turbulence, Physics Focus, AAPPS Bulletin, 25, 45 (2015). PDF
M. K. Verma and K. S. Reddy, Modelling quasi-static magnetohydrodynamic turbulence with variable energy flux, Phys. Fluids, 27, 025114 (2015). PDF
K. S. Reddy, R. Kumar, and M. K. Verma, Anisotropic energy transfers in quasi-static magnetohydrodynamic turbulence, Phys. Plasmas, 21, 102310 (2014). PDF
A. Kumar, A. G. Chatterjee, and M. K. Verma, Energy spectrum of buoyancy-driven turbulence, Phys. Rev. E, 90, 023016 (2014). PDF
D. Nath and M. K. Verma, Numerical simulation of convection of argon gas in fast breeder reactor, Ann. Nucl. Energy, 63, 51 (2014). PDF
A. Pandey, M. K. Verma, and P. K. Mishra, Scaling of heat transport and energy spectrum for “very large” Prandtl number convection, Phys. Rev. E, 89, 023006 (2014). PDF
K. S. Reddy and M. K. Verma, Strong anisotropy in quasi-static MHD turbulence for high interaction parameters, Phys. Fluids, 26, 025109 (2014). PDF
R. Kumar, M. K. Verma, and R. Samtaney, Energy transfers and magnetic energy growth in small-scale dynamo, EPL, 104, 54001 (2013). PDF
M. K. Verma, B. B. Karak, and R. Kumar, Dynamo in protostars, Pramana-J. Phys., 81, 1037 (2013). PDF
M. K. Verma, A. Chatterjee, K. S. Reddy, R. K. Yadav, S. Paul, M. Chandra, and R. Samtaney, Benchmarking and scaling studies of pseudospectral code Tarang for turbulence simulations, Pramana-J. Phys., 81, 617 (2013). PDF
M. K. Verma and R. K. Yadav, Supercriticality to subcriticality in dynamo transition, Phys. Plasmas, 20, 072307 (2013). PDF
M. Chandra and M. K. Verma, Flow reversals in turbulent convection via vortex reconnections, Phys. Rev. Lett., 110, 114503 (2013). PDF
S. Paul, M. K. Verma, P. Wahi, S. Reddy, and K. Kumar, Bifurcation analysis of the flow patterns in two-dimensional Rayleigh-Bénard convection, Int. J. Bifur. Chaos, 22, 1230018 (2012). PDF
M. K. Verma, Variable enstrophy flux and energy spectrum in two-dimensional turbulence with Ekman friction, EPL, 98, 14003 (2012). PDF
R. Yadav, M. K. Verma, and P. Wahi, Bistability and chaos in Taylor-Green Dynamo, Phys. Rev. E, 85, 036301 (2012). PDF
M. K. Verma, P. K. Mishra, A. Pande, and S. Paul, Scaling of field correlations and heat transport in turbulent convection, Phys. Rev. E 85, 016310 (2012). PDF
M. Chandra and M. K. Verma, Dynamics and symmetries of flow reversals in turbulent convection, Phys. Rev. E, 83, 067303 (2011). PDF
S. Paul, P. Pal, P. Wahi and M. K. Verma, Dynamics of zero-Prandtl number convection near the onset, Chaos, 21, 023118 (2011). PDF
S. Paul, P. Wahi and M. K. Verma, Bifurcations and chaos in large Prandtl-number Rayleigh-Bénard convection, Int. J. Nonlin. Mech., 46, 772 (2011). PDF
P. K. Mishra, A. K. De, M. K. Verma, and V. Eswaran, Dynamics of reorientations and reversals of large-scale flow in Rayleigh–Bénard convection, J. Fluid Mech. 668, 480 (2011). PDF
C. K. Yadav, M. K. Verma, S. Ghosh, Statistical evidence for power law temporal correlations in exploratory behaviour of rats, BioSystems, 102, 77 (2010). PDF
R. Yadav, M. Chandra, M. K. Verma, S. Paul, and P. Wahi, Dynamo transition under Taylor-Green forcing, EPL, 91, 69001 (2010). PDF
P. K. Mishra and M. K. Verma, Energy spectra and fluxes for Rayleigh-Bénard convection, Phys. Rev. E, 81, 056316 (2010). PDF
P. K. Mishra, P. Wahi, and M. K. Verma, Patterns and bifurcations in low-Prandtl number Rayleigh-Bénard convection, EPL, 89, 44003 (2010). PDF
S. Paul, K. Kumar, M. K. Verma, D. Carati, A. De, and V. Eswaran, Chaotic travelling rolls in two-dimensional Rayleigh-Bénard convection, Pramana-J. Phys., 74, 75 (2010). PDF
P. Pal, P. Wahi, S. Paul, M. K. Verma, and P. K. Mishra, Bifurcations and Chaos in zero-Prandtl number convection, EPL, 87, 54003 (2009). PDF
T. Lessinnes, D. Carati, and M. K. Verma, Energy transfers in shell models for magnetohydrodynamics turbulence, Phys. Rev. E, 79, 066307 (2009). PDF
B. Teaca, M. K. Verma, B. Knaepen, and D. Carati, Energy transfer in anisotropic magnetohydrodynamic turbulence, Phys. Rev. E, 79, 046312 (2009). PDF
M. K. Verma, T. Lessinnes, D. Carati, I. Sarris, K. Kumar, and M. Singh, Dynamo transition in low-dimensional models, Phys. Rev. E, 78, 036409 (2008). PDF
M. K. Verma and D. Donzis, Energy transfer and bottleneck effect in turbulence, J. Phys. A, 40, 4401 (2007). PDF
M. K. Verma, S. Manna, J. Banerjee, and S. Ghosh, Universal scaling laws for large events in driven nonequilibrium systems, EPL, 76, 1050 (2006). PDF
M. K. Verma, K. Kumar, B. Kamble, Mode-to-mode Energy transfers and patterns in convection, Pramana-J. Phys., 67, 1129 (2006). PDF
D. Carati, O. Debliquy, B. Knaepen, B. Teaca, and M. K. Verma, Energy transfers in forced MHD turbulence, J. Turbulence, 7, N51 (2006). PDF
J. Banerjee, S. Manna, S. Ghosh, M. K. Verma, Self-organized criticality and 1/f Noise in Single-Channel Current of Voltage Dependent Anion Channel, EPL, 73, 457 (2006). PDF
V. Avinash, M. K. Verma, and A. V. Chandra, Field-theoretic calculation of helical turbulence, Pramana-J. Phys., 66, 447 (2006). PDF
O. Debliquy, M. K. Verma, and D. Carati, Energy fluxes and shell-to-shell transfers in three-dimensional decaying magnetohydrodynamic turbulence, Phys. Plasmas, 12, 42309 (2005). PDF
M. K. Verma, A. Ayyer, and A. V. Chandra, Energy transfers and locality in magnetohydrodynamic turbulence, Phys. Plasmas, 12, 82307 (2005). PDF
M. K. Verma, A. Ayyer, O. Debliquy, Shishir Kumar, and A. V. Chandra, Local shell-to-shell energy transfer via nonlocal interactions in fluid turbulence, Pramana-J. Phys., 65, 297 (2005). PDF
M. K. Verma, Statistical theory of magnetohydrodynamic turbulence: recent results, Phys. Rep., 401, 229-380 (2004). PDF
M. K. Verma and S. Kumar, Large-eddy simulations of fluid and magnetohydrodynamic turbulence using renormalized parameters, Pramana-J. Phys., 63, 553 (2004). PDF
M. K. Verma, Energy fluxes in helical magnetohydrodynamics and dynamo action, Pramana-J. Phys., 61, 707 (2003). PDF
M. K. Verma, Field theoretic calculation of energy cascade rates in nonhelical magnetohydrodynamic turbulence, Pramana-J. Phys., 61, 577 (2003). PDF
M. K. Verma, On generation of magnetic field in astrophysical bodies, Curr. Sci, 85, 620 (2002). PDF
M. K. Verma, G. Dar, and V. Eswaran, Comment on "On two-dimensional magnetohydrodynamic turbulence" [Phys. Plasmas, 8, 3282 (2001)], Phys. Plasmas, 9, 1484 (2002). PDF
M. K. Verma, Field theoretic calculation of renormalized-viscosity, renormalized-resistivity, and energy fluxes of magnetohydrodynamic turbulence, Phys. Rev. E, 64, 26305 (2001). PRE
G. Dar, M. K. Verma, and V. Eswaran, Energy transfer in two-dimensional magnetohydrodynamic turbulence: formalism and numerical results, Physica D, 157, 207 (2001). PDF
M. K. Verma, Calculation of renormalized viscosity and resistivity in magnetohydrodynamic turbulence, Phys. Plasmas, 8, 3945 (2001). PDF
M. K. Verma, Field theoretic calculation of scalar turbulence, Int. J. Modern Physics B, 15, 3419 (2001). PDF
M. K. Verma, Intermittency exponents and energy spectrum of the Burgers and KPZ equations with correlated noise, Physica A, 277, 359-388 (2000). PDF
M. K. Verma, Mean magnetic field renormalization and Kolmogorov's energy spectrum in magnetohydrodynamic turbulence, Phys. Plasmas, 6, 1455 (1999). PDF
A. Majumdar, K. Ghosh, A. Majumdar, and M. K. Verma, A Numerical Procedure to Solve Time-Dependent Problems in Quantum Mechanics, Physics Teachers, 40, 31 (1998).
G. Dar, M. K. Verma, and V. Eswaran, Sensitivity of initial conditions on the global quantities in MHD turbulence, Phys. Plasmas, 5, 2528 (1998). PDF
M. K. Verma, Nonclassical viscosity and resistivity of the solar wind plasma, J. Geophys. Res.: Space, 101, 27549 (1996). PDF
M. K. Verma, Role of turbulent dissipation and thermal convection in solar wind's temperature evolution, J. Geophys. Res.: Space, 101, 27543 (1996). PDF
M. K. Verma, D. A. Roberts, M. L. Goldstein, S. Ghosh, and W. T. Stribling, A Numerical Study of Nonlinear Cascade of Energy in Magnetohydrodynamic Turbulence, J. of Geophys. Res.: Space, 101, 21619 (1996). PDF
M. K. Verma, D. A. Roberts, and M. L. Goldstein, Turbulent heating and temperature evolution in the solar wind plasma, J. of Geophys. Res.: Space, 100, 19839 (1995). PDF
M. K. Verma, and J. K. Bhattacharjee, Computation of Kolmogorov's constants in MHD turbulence, EPL, 31, 195 (1995). PDF
M. K. Verma and D. A. Roberts, The radial evolution of the amplitudes of “dissipationless” turbulent solar wind fluctuations, J. of Geophys. Res.: Space, 98, 5625 (1993). PDF
Conference Proceedings
M. K. Verma, Description of nature: A single law or many laws?, In proceedings of "Conference on Nonlinear Dynamics and Systems", Indian Academy of Sciences Conference Series (2019) 2:1. (2019). PDF
M. K. Verma, R. Stepanov and F. Plunian, Energy transfers in MHD turbulence and its applications to dynamo, In proceedings of “Third Russian Conference on Magnetohydrodynamics (RMHD-2018)” Magnetohydrodynamics, 55 (1/2), p. 215 (2019). PDF
V. Titov, R. Stepanov, N. Yokoi, M. K. Verma, and R. Samtaney, Cross helicity sign reversals in the dissipative scales of magnetohydrodynamic turbulence, In proceedings of “Third Russian Conference on Magnetohydrodynamics (RMHD-2018)” Magnetohydrodynamics, 55 (1/2), p. 225 (2019). PDF
R. Stepanov, A. Teimurazov, V. Titov, M. K. Verma, S. Barman, A. Kumar and F. Plunian, Direct numerical simulation of helical magnetohydrodynamic turbulence with TARANG code, 2017 In proceedings “Ivannikov ISPRAS Open Conference (ISPRAS)”, p. 90, IEEE (2017).
M. K. Verma, A. Kumar, and A. G. Chatterjee, Energy Spectrum and Flux of Buoyancy-Driven Turbulence, In proceedings “Advances in Computation, Modeling and Control of Transitional and Turbulent Flows”, Eds. T. K. Sengupta, S. Lele, K. R. Sreenivasan, and P. A. Davidson, p. 442, World Scientific (2016).
A. Kumar and M. K. Verma, Shell Model for Buoyancy-Driven Turbulent Flows, In proceedings “Advances in Computation, Modeling and Control of Transitional and Turbulent Flows”, Eds. T. K. Sengupta, S. Lele, K. R. Sreenivasan, and P. A. Davidson, p. 232, World Scientific (2016).
S. Paul and M. K. Verma, Proper Orthogonal Decomposition vs. Fourier Analysis for Extraction of Large-Scale Structures of Thermal Convection, In proceedings “Advances in Computation, Modeling and Control of Transitional and Turbulent Flows”, Eds. T. K. Sengupta, S. Lele, K. R. Sreenivasan, and P. A. Davidson, p. 433, World Scientific (2016).
M. K. Verma, A. Pande, P. K. Mishra, and M. Chandra, Role of bulk flow in turbulent convection, In proceedings “International Conference on Complex Processes In Plasmas And Nonlinear Dynamical Systems” (Senfest), Gandinagar, AIP Conference proceedings series, CP1582, p. 224 (2014).
P. Wahi, P. K. Mishra, S. Paul, and M. K. Verma, Nonlinear dynamics of low-Prandtl number Rayleigh--Bénard convection, In proceedings “IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design”, 32, 123 (2013).
M. K. Verma, A. Chatterjee, and S. Reddy, Object-oriented Pseudo-spectral code TARANG for turbulence simulation, In proceedings “ATIP/A*CRC Workshop on Accelerator Technologies for High-Performance Computing: Does Asia Lead the Way?”, Singapore, p. 4 (2012).
M. K. Verma, P. K. Mishra, M. Chandra, and S. Paul, Energy spectra in Rayleigh-Bénard convection, In proceedings 12th EUROMECH European Turbulence Conference, Warsaw, Poland, J. Phys.: Conf. Ser., 318, 082014 (2012).
M. Chandra and M. K. Verma, On flow reversals in Rayleigh-Bénard convection, In proceedings 12th EUROMECH European Turbulence Conference, Warsaw, Poland, J. Phys.: Conf. Ser., 318, 082002 (2012).
R. Yadav, M. K. Verma, M. Chandra, S. Paul, and P. Wahi, Bifurcations and Chaos in Taylor-Green Dynamo, In proceedings UAH Huntsville Workshop 2010 on ``Partial Ionized Plasmas Throughout The Cosmos”, Nashville, Oct. 2010, AIP Conference proceedings series, CP1366, p. 129 (2011).
K. Kumar, S. Paul, P. Pal, and M. K, Verma, A model of flow reversal in two-dimensional convection, In proceedings Recent Developments in Theoretical Physics, Kolkata, 2007 (Ed. S. Ghosh and G. Kar), p. 365, World Scientific, Singapore (2010).
M. K. Verma, R. Yadav, M. Chandra, S. Paul, and P. Wahi, Dynamo Transition, In proceedings International Symposium on Waves, Coherent Structures, and Turbulence in Plasmas (Kawfest), IPR Gandhinagar (Ed. A. Sen, S. Sharma, P. N. Guzdar), AIP Conference proceedings series CP1308, p. 25 (2010).
D. Nath, M. K. Verma, T. Lessiness, D. Carati, I. Sarris, Direct numerical simulation of dynamo transition for nonhelical MHD, In proceedings 23rd National Symposium on Plasma Science & Technology (PLASMA-2008), Mumbai 2008, Journal of Physics: Conference Series 208, 012039 (2010).
R. Kumar, M. K. Verma, and V. Kumar, Anisotropic turbulence studies of liquid metal MHD flows using numerical simulations, In proceedings 23rd National Symposium on Plasma Science & Technology (PLASMA-2008), Mumbai 2008, Journal of Physics: Conference Series 208, 012007 (2010).
B. Teaca, D. Carati, B. Knaepen, abd M.K. Verma, Spectral analysis of energy transfers in anisotropic MHD turbulence, In proceedings 12th EUROMECH European Turbulence Conference, Marburg, Germany, 2009 Ed. B. Eckhardt), Springer proceedings in Physics, 132, p. 841 (2009).
M. K. Verma, J. J. Niemela, K. Kumar, S. Pal, and D. Carati, Large-scale behaviour of turbulent convection governed by low-dimensional fixed-points, In proceedings Advances in Turbulence XI (ETC-11), Porto, 2007 (Eds. J. M. L. M. Palma and A. Silva Lopes), p. 609 (2007).
M. K. Verma, Recent developments in Rayleigh-Bénard convection, In proceedings National Conference on Nonlinear Systems and Dynamics-2006, Chennai (Eds. M. Lakshmanan, R. Sahadevan), p. 137 (2006).
D. Carati, O. Debliquy, B. Knaepen, B. Teaca, M. K. Verma, Energy fluxes and shell-to-shell transfers in MHD turbulence, In proceedings the Cyprus International Symposium on Complex Effects in Large Eddy Simulations (CY-LES 2005) (Eds. S. C. Kassinos, C. A. Langer, G. Iaccarino, and P. Moin), Lecture Notes in Computational Science and Engineering, 56, p. 401 (2007).
M. K. Verma, K. Kumar, B. Kamble, Mode-to-mode energy transfers and patterns in convection, In proceedings National Conference on Nonlinear Systems and Dynamics 2005, Aligarh (2005).
M. K. Verma, Incompressible turbulence as a non-local field theory, In proceedings Perspectives in Nonlinear Dynamics (PNLD 2004), Pramana-J. Phys., 64, p. 333 (2005).
M. K. Verma, Energy cascade in magnetohydrodynamic turbulence, In proceedings The First National Conference on Nonlinear Systems and Dynamics, Kharagpur, 2003 (Eds. S. Banerjee et al.), p. 259 (2003).
M. K. Verma, Magnetohydrodynamic turbulence in the solar wind, In proceedings PRL Golden Jubilee Workshop on Solar Physics, Udaipur, 1998 (Ed. A. Ambastha) in Bull. Astr. Soc. India, 26, p. 231 (1998).
M. K. Verma and G. Dar, Probing physics of magnetohydrodynamic turbulence using direct numerical simulations, In proceedings Nonlinear Dynamics and Computational Physics, PRL Ahmedabad, 1997, (Eds. V. Sheorey), Narosa, New Delhi, p. 192 (1998).
G. Dar and M. K. Verma, Parallelization of spectral MHD turbulence, In proceedings Parallel Computing Applications in Science and Engineering, Kanpur, 1997 (Ed. M. K. Verma), p. 61 (1997).