5 citations · 12 across the 14 of their papers we have counts for
4 papers · 1 filter
Thermal conductivity and local thermodynamic equilibrium of stochastic energy exchange models
Yao Li, Wenbo Xie
In this paper we study macroscopic thermodynamic properties of a stochastic microscopic heat conduction model that is reduced from deterministic problems. Our goal is to numericall…
Firing rate and spatial correlation in a stochastic neural field model
Yao Li, Hui Xu
This paper studies a stochastic neural field model that is extended from our previous paper [14]. The neural field model consists of many heterogeneous local populations of neurons…
A data-driven method for the steady state of randomly perturbed dynamics
Yao Li
We demonstrate a data-driven method to solve for the invariant probability density function of a randomly perturbed dynamical system. The key idea is to replace the boundary condit…
From billiards to thermodynamic laws: I. Stochastic energy exchange model
Yao Li, Lingchen Bu
This paper studies a billiards-like microscopic heat conduction model, which describes the dynamics of gas molecules in a long tube with thermalized boundary. We numerically invest…