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Turbulence: Arrow of time equilibrium-Equilibrium behaviour
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What is the controversy?
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Fundamental forces respect time reversal symmetry
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Newton's laws of motion
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In real life?
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A solution: Second law of thermodynamics
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Take turbulence as an example
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NS equation
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Multiscale phenomena Driven-dissipative nonequilibrium phenomena
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Books
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Hydrodynamic turbulence
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Kolmogorov's theory of turbulence
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Properties of ET
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Energy transfer
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Interpretations
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Nice! Problem solved!
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Viscous dissipation?
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Coherent energy -Incoherent energy
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Two-dimensional turbulence
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Two-dimensional & rotating turbulence
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Past works
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Cosmological arrow of time
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Causality
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Conclusions-I
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Equilibrium behaviour
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Initial condition: Random velocity
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Effective Dissipation and Turbulence in Spectrally Truncated Euler Flows
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Connection with kinetic theory
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Kinetic theory
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Homogeneous isotropic gas under a equilibrium state
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Molecular-Level Simulations of Turbulence and its Decay
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Initial condition dependence
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Moral of the story!
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Q&A
Description:
Explore the fascinating world of turbulence and its relationship to the arrow of time and equilibrium-nonequilibrium behavior in this 42-minute lecture by Mahendra Verma. Delve into the controversy surrounding time reversal symmetry in fundamental forces and how it relates to real-world phenomena. Examine the second law of thermodynamics as a solution and use turbulence as a prime example. Investigate the Navier-Stokes equation, multiscale phenomena, and driven-dissipative nonequilibrium systems. Learn about Kolmogorov's theory of turbulence, energy transfer, and the properties of equilibrium thermodynamics. Analyze two-dimensional and rotating turbulence, and explore connections to cosmology and causality. Discover the equilibrium behavior of turbulent systems, including initial conditions, spectrally truncated Euler flows, and connections to kinetic theory. Gain insights from molecular-level simulations of turbulence and its decay, and understand the importance of initial conditions in these complex systems. Read more

Turbulence - Arrow of Time and Equilibrium-Nonequilibrium Behaviour

International Centre for Theoretical Sciences
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