Stochastic bistable systems, and competing hysteresis and phase coexistence
Statistical Mechanics
2019-11-25 v1 Soft Condensed Matter
Chaotic Dynamics
Atmospheric and Oceanic Physics
History and Philosophy of Physics
Abstract
In this paper we describe the solution of a stochastic bistable system from a dynamical perspective. We show how a single framework with variable noise can explain hysteresis at zero temperature and two-state coexistence in the presence of noise. This feature is similar to the phase transition of thermodynamics. Our mathematical model for bistable systems also explains how the width of a hysteresis loop shrinks in the presence of noise, and how variation in initial conditions can take such systems to different final states.
Cite
@article{arxiv.1902.03991,
title = {Stochastic bistable systems, and competing hysteresis and phase coexistence},
author = {Mahendra K. Verma and Abhishek Kumar and Adhip Pattanayak},
journal= {arXiv preprint arXiv:1902.03991},
year = {2019}
}