Time evolution of a mean-field generalized contact process
Probability
2022-02-23 v1 Disordered Systems and Neural Networks
Statistical Mechanics
Adaptation and Self-Organizing Systems
Populations and Evolution
Abstract
We investigate the macroscopic time evolution and stationary states of a mean field generalized contact process in . The model is described by a coupled set of nonlinear integral-differential equations. It was inspired by a model of neurons with discrete voltages evolving by a stochastic integrate and fire mechanism. We obtain a complete solution in the spatially uniform case and partial solutions in the general case. The system has one or more fixed points and also traveling wave solutions.
Cite
@article{arxiv.2108.00264,
title = {Time evolution of a mean-field generalized contact process},
author = {Logan Chariker and Joel Lebowitz},
journal= {arXiv preprint arXiv:2108.00264},
year = {2022}
}
Comments
20 pages, 2 figures