Bounds and Phase Transitions for Phonons in Complex Network Structures

Autor:	Bonetto, Riccardo
Rok vydání:	2024
Předmět:	Mathematical Physics Condensed Matter - Statistical Mechanics Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We study a model of networked atoms or molecules oscillating around their equilibrium positions. The model assumes the harmonic approximation of the interactions. We provide bounds for the total number of phonons, and for the specific heat, in terms of the average Wiener capacity, or resistance, of the network. Thanks to such bounds, we can distinguish qualitatively different behaviours in terms of the network structure alone.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.17919 Zobrazit plný text záznamu View this record from Arxiv