Publications
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).
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
Book Chapters
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
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)
MHD Turbulence
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
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
M. K. Verma, S. Alam, and S. Chatterjee, Turbulent drag reduction in magnetohydrodynamic and quasi-static magnetohydrodynamic turbulence, Phys. Plasmas, 27, 052301 (2020). PDF
F. Plunian, R. Stepanov, and M. K. Verma, On uniqueness of transfer rates in magnetohydrodynamic turbulence, J. Plasma Phys., 85, 905850507 (2019). 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
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).
[Conf. Proc.] 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).
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, Anisotropy in quasi-Static magnetohydrodynamic turbulence, Rep. Prog. Phys., 80, 087001 (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
M. K. Verma and R. Kumar, Dynamos at extreme magnetic Prandtl numbers: Insights from shell models, J. Turbul., 17, 1112 (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
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
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 and R. K. Yadav, Supercriticality to subcriticality in dynamo transition, Phys. Plasmas, 20, 072307 (2013). PDF
R. Yadav, M. K. Verma, and P. Wahi, Bistability and chaos in Taylor-Green Dynamo, Phys. Rev. E, 85, 036301 (2012). PDF
R. Yadav, M. Chandra, M. K. Verma, S. Paul, and P. Wahi, Dynamo transition under Taylor-Green forcing, EPL, 91, 69001 (2010). 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
D. Carati, O. Debliquy, B. Knaepen, B. Teaca, and M. K. Verma, Energy transfers in forced MHD turbulence, J. Turbulence, 7, N51 (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, 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, Mean magnetic field renormalization and Kolmogorov's energy spectrum in magnetohydrodynamic turbulence, Phys. Plasmas, 6, 1455 (1999). PDF
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
Buoyancy-driven Flows (Themal convection + Stably Stratified Turbulence)
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
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
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
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
S. Bhattacharya, M. K. Verma, and R. Samtaney, Revisiting Reynolds and Nusselt numbers in turbulent thermal convection, Phys. Fluids 33, 015113 (2021). 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
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
S. Bhattacharya, S. Sadhukhan, A. Gupta, and M. K. Verma, Similarities between the structure functions of thermal convection and hydrodynamic turbulence, Phys. Fluids (to appear) (2019).
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
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
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
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
A. Pandey, M. K. Verma, and M. Barma, Reversals in infinite-Prandtl-number Rayleigh-Bénard convection, Phys. Rev. E 98, 023109 (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
S. Bhattacharya, A. Pandey, A. Kumar, and M. K. Verma, Complexity of viscous dissipation in turbulent thermal convection, Phys. Fluids, 30, 031702 (2018). 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
M. K. Verma, A. Kumar, and A. Pandey, Phenomenology of buoyancy-driven turbulence: recent results, New J. Physics, 19, 025012 (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
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
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
[Conf. Proc.] 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, 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
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
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, 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
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
M. K. Verma, K. Kumar, B. Kamble, Mode-to-mode Energy transfers and patterns in convection, Pramana-J. Phys., 67, 1129 (2006). PDF
Hydrodynamic Turbulence (incl Rotating Turbulence)
M. K. Verma and S. Alam, Renormalization of the shell model of turbulence, Phys. Rev. E, 107, 064118 (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
S. Alam, P. K. Sahu, and M. K. Verma, Universal functions for Burgers turbulence, Phys. Rev. Fluids, 7, 074605 (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
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
M. K. Verma, Microscopic Laws vs. Macroscopic Laws: Perspectives from Kinetic Theory and Hydrodynamics, Trans Indian Natl. Acad. Eng., 5, 491 (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
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, Boltzmann equation and Hydrodynamic equations: Their equilibrium and nonequilibrium behaviour, Philos. Trans. Royal Soc. A , 378:20190470 (2020). PDF
F. Plunian, A. Teimurazov, R. Stepanov, and M. K. Verma, Inverse cascade of energy in helical turbulence, J. Fluid Mech., 895, A13 (2020). 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
M. K. Sharma, M. K. Verma, and S. Chakraborty, Anisotropic energy transfers in rapidly rotating turbulence, Phys. Fluids, 31, 085117 (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 (to appear) (2019).
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
M. K. Sharma, M. K. Verma, and S. Chakraborty, On the energy spectrum of rapidly rotating forced turbulence, Phys. Fluids, 30, 115102 (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
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
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, Variable enstrophy flux and energy spectrum in two-dimensional turbulence with Ekman friction, EPL, 98, 14003 (2012). PDF
M. K. Verma and D. Donzis, Energy transfer and bottleneck effect in turbulence, J. Phys. A, 40, 4401 (2007). PDF
V. Avinash, M. K. Verma, and A. V. Chandra, Field-theoretic calculation of helical turbulence, Pramana-J. Phys., 66, 447 (2006). 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
[Conf. Proc.] 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, Field theoretic calculation of scalar turbulence, Int. J. Modern Physics B, 15, 3419 (2001). PDF
High Performance Computing
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, 4 (5), 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
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, J. Open source Softw. 6, 2185 (2021). 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]
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. 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
Statistical Physics
M. K. Verma and S. Alam, Renormalization of the shell model of turbulence, Phys. Rev. E, 107, 064118 (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
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, S. Chatterjee, A. Sharma, and A. Mohapatra, Equilibrium states of Burgers and Korteweg–de Vries equations, Phys. Rev. E, 105, 034121 (2022). 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., 5, 105 (2021). PDF
M. K. Verma, Microscopic Laws vs. Macroscopic Laws: Perspectives from Kinetic Theory and Hydrodynamics, Trans Indian Natl. Acad. Eng., 5, 491 (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, 55, 1-31 (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, 1 (2020) DOI: https://doi.org/10.1007/s41403-020-00104-y. 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, 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].
[Conf. Proc] 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, A. Kumar, and A. Pattanayak, Stochastic bistable systems, and competing hysteresis and phase coexistence, JETP, 127, 549 (2018). 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
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
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
M. K. Verma, Intermittency exponents and energy spectrum of the Burgers and KPZ equations with correlated noise, Physica A, 277, 359-388 (2000). PDF
Submitted Papers
H. Tiwari and M. K. Verma, Classical 1/3 Nusselt number scaling up to Ra = 10^18, submitted to PNAS (2024).
A. R. Wani, M. K. Verma, S. Tiwari, Hydrodynamic energy flux in a many-particle system, submitted to Phys. Rev. E (2024).
M. K. Verma, Critical dimension for hydrodynamic turbulence, submitted to Phys. Rev. E (2024).
Preprint
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