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arXiv · 1902.03991

Stochastic bistable systems, and competing hysteresis and phase coexistence

Mahendra K. Verma·Abhishek Kumar·Adhip Pattanayak
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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.

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Mahendra K. Verma, Abhishek Kumar, Adhip Pattanayak. 2019-02-11. Stochastic bistable systems, and competing hysteresis and phase coexistence. https://doi.org/10.1134/s1063776118090212

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