We study the exchange of energy between the modes of the optical branch and those of the acoustic one in a diatomic chain of particles, with masses m1 and m2. We prove that, at small temperature and provided m1≫ m2, for the majority of the initial data the energy of each branch is approximately constant for times of order βS/2, where S=⌊m1/m2/2⌋ and β is the inverse temperature. The result is uniform in the thermodynamic limit.
Maiocchi, A. (2019). Freezing of the Optical-Branch Energy in a Diatomic FPU Chain. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 372(1), 91-117 [10.1007/s00220-019-03381-z].
Freezing of the Optical-Branch Energy in a Diatomic FPU Chain
Maiocchi A. M.
2019
Abstract
We study the exchange of energy between the modes of the optical branch and those of the acoustic one in a diatomic chain of particles, with masses m1 and m2. We prove that, at small temperature and provided m1≫ m2, for the majority of the initial data the energy of each branch is approximately constant for times of order βS/2, where S=⌊m1/m2/2⌋ and β is the inverse temperature. The result is uniform in the thermodynamic limit.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
massealterne.pdf
Solo gestori archivio
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Dimensione
711.78 kB
Formato
Adobe PDF
|
711.78 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
