Microscopic Laws vs. Macroscopic Laws: Perspectives from Kinetic Theory and Hydrodynamics

@article{Verma2020MicroscopicLV,
  title={Microscopic Laws vs. Macroscopic Laws: Perspectives from Kinetic Theory and Hydrodynamics},
  author={Mahendra Kumar Verma},
  journal={Transactions of the Indian National Academy of Engineering},
  year={2020},
  pages={1-6}
}
  • M. Verma
  • Published 25 April 2019
  • Physics
  • Transactions of the Indian National Academy of Engineering
Reductionism is a prevalent viewpoint in science according to which all physical phenomena can be understood from fundamental laws of physics. Anderson (Science 177:393 1972), Laughlin and Pines (PNAS 97:28 2000), and others have countered this viewpoint and argued in favour of hierarchical structure of the universe and laws. In this paper, we advance the latter perspective by showing that some of the complex flow properties—Kolmogorov’s theory of turbulence, turbulence dissipation and… 

Boltzmann equation and hydrodynamic equations: their equilibrium and non-equilibrium behaviour

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  • 2020
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This short article summarizes the key features of equilibrium and non-equilibrium aspects of Boltzmann and hydrodynamic equations and shows how initial velocity field plays an important role in determining the behaviour of the Euler equation.

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Boltzmann equation and hydrodynamic equations: their equilibrium and non-equilibrium behaviour

  • M. Verma
  • Physics
    Philosophical Transactions of the Royal Society A
  • 2020
TLDR
This short article summarizes the key features of equilibrium and non-equilibrium aspects of Boltzmann and hydrodynamic equations and shows how initial velocity field plays an important role in determining the behaviour of the Euler equation.

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