Best papers

Popular web-articles

1. Importance of Multiscale Description in Science (Part I of the series on multiscale description) (2020)

2. Single-scale and multiscale diffusion (Part II of the series on multiscale description) (2020)

3. Fundamental and Derived Laws in Multiscale Systems (Part III of the series on multiscale description) (2020)

Turbulence (General Framework)

1. M. K. Verma and S. Chatterjee, Hydrodynamic Entropy and Emergence of Order in Two-dimensional Euler Turbulence, Phys. Rev. Fluids, 7, 114608 (2022). PDF

2. M. K. Verma, Variable Energy Flux in Turbulence, J. Phys. A, 55, 013002 (2022). PDF

3. M. K. Verma, Boltzmann equation and Hydrodynamic equations: Their equilibrium and nonequilibrium behaviour, Philos. Trans. Royal Soc. A , 378:20190470 (2020).  PDF

4. M. K. Verma, Microscopic Laws vs. Macroscopic Laws: Perspectives from Kinetic Theory and Hydrodynamics,  Trans Indian Natl. Acad. Eng., 5, 491 (2020).  PDF

5. M. K. Verma, Turbulent drag reduction: A universal perspective from energy fluxes (2019). arXiv:1904.11167

MHD Turbulence

1. 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

2. 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., 101, 21619 (1996).  PDF

3. M. K. Verma, Mean magnetic field renormalization and Kolmogorov's energy spectrum in magnetohydrodynamic turbulence, Phys. Plasmas, 6, 1455 (1999).  PDF

4. G. Dar, M. K. Verma, and V. Eswaran, Energy transfer in two-dimensional magnetohydrodynamic turbulence: formalism and numerical results, Physica D, 157, 207 (2001).

5. M. K. Verma, Calculation of renormalized viscosity and resistivity in magnetohydrodynamic turbulence, Phys. Plasmas, 8, 3945 (2001). PDF 

6. M. K. Verma, Statistical theory of magnetohydrodynamic turbulence: recent results, Phys. Rep., 401, 229-380 (2004). PDF

7. 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

8. B. Teaca, M. K. Verma, B. Knaepen, and D. Carati, Energy transfer in anisotropic magnetohydrodynamic turbulence, Phys. Rev. E, 79, 046312 (2009). PDF

9. M. K. Verma and K. S. Reddy, Modelling quasi-static magnetohydrodynamic turbulence with variable energy flux, Phys. Fluids, 27, 025114 (2015). PDF

10. M. K. Verma, Anisotropy in Quasi-Static Magnetohydrodynamic Turbulence,  Rep. Prog. Phys., 80, 087001 (2017).  PDF  video-tutorial

11. M. K. Verma, S. Alam, and S. Chatterjee, Turbulent drag reduction in magnetohydrodynamic and quasi-static magnetohydrodynamic turbulence, Phys. Plasmas, 27, 052301 (2020).  PDF

Buoyancy-driven Turbulence

1. 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

2. M. Chandra and M. K. Verma, Flow reversals in turbulent convection via vortex reconnections, Phys. Rev. Lett., 110, 114503 (2013).  PDF

3. A. Kumar, A. G. Chatterjee, and M. K. Verma, Energy spectrum of buoyancy-driven turbulence, Phys. Rev. E, 90, 023016 (2014). PDF

4. 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

5. A. Pandey and M. K. Verma, Scaling of large-scale quantities in Rayleigh-Bénard convection, Phys. Fluids, 28, 095105 (2016). PDF

6. 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].

7. S. Bhattacharya, A. Pandey, A. Kumar, and M. K. Verma, Complexity of viscous dissipation in turbulent thermal convection, Phys. Fluids, 30, 031702 (2018). PDF

8. M. K. Verma, Turbulent Thermal Convection, Scholarpedia, 14(12):53051 (2019).

9. 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

10. S. Alam, A. Guha, and M. K. Verma, Revisiting Bolgiano-Obukhov scaling for moderately stably stratified turbulence,  J. Fluid Mech., 875, 961 (2019).  PDF

Nonequilibrium Statistical Physics

1. 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

2. M. K. Verma and S. Chatterjee, Hydrodynamic Entropy and Emergence of Order in Two-dimensional Euler Turbulence, Phys. Rev. Fluids, 7, 114608 (2022). PDF

3. 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

4. M. K. Verma, A. Kumar, and A. Pattanayak, Stochastic bistable systems, and competing hysteresis and phase coexistence, JETP, 127, 549 (2018).  PDF

5. 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 and in Research Matters Link].

6. 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

7. [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

8. 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

9. M. K. Verma, Boltzmann equation and Hydrodynamic equations: Their equilibrium and nonequilibrium behaviour, Philosophical Transactions A , 378:20190470 (2020).  PDF

10. M. K. Verma, Microscopic Laws vs. Macroscopic Laws: Perspectives from Kinetic Theory and Hydrodynamics,  Trans Indian Natl. Acad. Eng., 5, 491 (2020).  PDF

Hydrodynamic Turbulence & Simulations

1. 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

2. 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

3. 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

4. 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

5. M. K. Verma, Turbulent drag reduction: A universal perspective from energy fluxes (2019). arXiv:1904.11167

6. 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]

7. M. K. Verma, Boltzmann equation and Hydrodynamic equations: Their equilibrium and nonequilibrium behaviour, Philosophical Transactions A , 378:20190470 (2020).  PDF

8. M. K. Verma, Microscopic Laws vs. Macroscopic Laws: Perspectives from Kinetic Theory and Hydrodynamics,  Trans Indian Natl. Acad. Eng., 5, 491 (2020).  PDF

9. 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