Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 33, Issue 21, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-648X/abe517
Keywords
energy oscillations; thermal equilibration; FPU crystal; temperature; covariance analysis
Categories
Funding
- Russian Science Foundation [19-41-04106]
- German Research Foundation (DFG) [MU 1752/50-1, 405631704]
- Russian Science Foundation [19-41-04106] Funding Source: Russian Science Foundation
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An adiabatic transition between two equilibrium states with different stiffnesses in an infinite chain of particles is studied, showing that the process is oscillatory and the temperature converges non-monotonically to a new equilibrium state. The analytical results are supplemented by numerical simulations.
An adiabatic transition between two equilibrium states corresponding to different stiffnesses in an infinite chain of particles is studied. Initially, the particles have random displacements and random velocities corresponding to uniform initial temperature distributions. An instantaneous change in the parameters of the chain initiates a transitional process. Analytical expressions for the chain temperature as a function of time are obtained from statistical analysis of the dynamic equations. It is shown that the transition process is oscillatory and that the temperature converges non-monotonically to a new equilibrium state, in accordance with what is usually unexpected for thermal processes. The analytical results are supplemented by numerical simulations.
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