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Emergent pseudo time-irreversibility in the classical many-body system of pair interacting particles

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journal contribution
posted on 18.05.2022, 16:16 by Gyula TothGyula Toth

In this paper, the emergence of macroscopic-scale pseudo time-irreversibility is studied in the closed classical many-body system of pair interacting particles. First, exact continuum equations are derived to the Hamiltonian dynamics without the utilisation of statistical mechanics. Next, it is shown that the momentum density field incorporates the thermal degrees of freedom in the considered scaling limit, and therefore initial condition indicated pseudo time-irreversible solutions may exist to the dynamical equations. Numerical evidence for pseudoirreversible thermal equilibration, heat and momentum transport is provided. Finally, the possible reasons of the numerically obtained non-diffusional relaxation of macroscopic order is discussed. 

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physica D: Nonlinear Phenomena

Publisher

Elsevier

Version

P (Proof)

Rights holder

© The Author

Publisher statement

This is an Open Access Article. It is published by Elsevier under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

30/04/2022

Publication date

2022-05-16

Copyright date

2022

ISSN

0167-2789

Language

en

Depositor

Dr Gyula Toth. Deposit date: 1 May 2022

Article number

133336