Prethermalization in a classical phonon field: Slow relaxation of the number of phonons
| Autor: | Jani Lukkarinen, François Huveneers |
|---|---|
| Přispěvatelé: | Department of Mathematics and Statistics, Mathematical physics, CEntre de REcherches en MAthématiques de la DEcision (CEREMADE), Centre National de la Recherche Scientifique (CNRS)-Université Paris Dauphine-PSL, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Nonequilibrium statistical mechanics [PHYS]Physics [physics] Statistical Mechanics (cond-mat.stat-mech) Phonon Anharmonicity Relaxation (NMR) education FOS: Physical sciences Mathematical Physics (math-ph) Dissipation Kinetic energy 01 natural sciences 114 Physical sciences 010305 fluids & plasmas Quantization (physics) Quantum mechanics 0103 physical sciences 111 Mathematics Phonon band [MATH]Mathematics [math] 010306 general physics Condensed Matter - Statistical Mechanics Mathematical Physics |
| Zdroj: | Physical Review Research Physical Review Research, American Physical Society, 2020, 2 (2), pp.022034. ⟨10.1103/PhysRevResearch.2.022034⟩ |
| ISSN: | 2643-1564 |
| DOI: | 10.1103/PhysRevResearch.2.022034⟩ |
| Popis: | We investigate the emergence of an astonishingly long pre-thermal plateau in a classical phonon field, here a harmonic chain with on-site pinning. Integrability is broken by a weak anharmonic on-site potential with strength $\lambda$. In the small $\lambda$ limit, the approach to equilibrium of a translation invariant initial state is described by kinetic theory. However, when the phonon band becomes narrow, we find that the (non-conserved) number of phonons relaxes on much longer time scales than kinetic. We establish rigorous bounds on the relaxation time, and develop a theory that yields exact predictions for the dissipation rate in the limit $\lambda \to 0$. We compare the theoretical predictions with data from molecular dynamics simulations and find good agreement. Our work shows how classical systems may exhibit phenomena which at the first glance appear to require quantization. Comment: 6 + 12 pages |
| Databáze: | OpenAIRE |
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