2025/10/28 by Emilio N. M. Cirillo, Matteo Colangeli, Cirillo, Emilio N. M. +5
Physics and Astronomy · Chemistry · #Quantum many-body systems #Nonlinear Photonic Systems #Advanced Physical and Chemical Molecular Interactions
paper · pdf · doi:10.48550/arxiv.2510.26820
Inspired by recent studies on deterministic oscillator models, we introduce a stochastic one-dimensional model for a chain of interacting particles. The model consists of N oscillators performing continuous-time random walks on the integer lattice ℤ with exponentially distributed waiting times. The oscillators are bound by confining forces to two particles that do not move, placed at positions x0 and xN+1, respectively, and they feel the presence of baths with given inverse temperatures: βL to the left, βB in the middle, and βR to the right. Each particle has an index and interacts with its nearest neighbors in index space through either a quadratic potential or a Fermi-Pasta-Ulam-Tsingou type coupling. This local interaction in index space can give rise to effective long-range interactions on the spatial lattice, depending on the instantaneous configuration. Particle hopping rates are governed either by the Metropolis rule or by a modified version that breaks detailed balance at the interfaces between regions with different baths.