arXiv
Open Access
2021
Time evolution of a mean-field generalized contact process
Logan Chariker
Joel Lebowitz
Abstrak
We investigate the macroscopic time evolution and stationary states of a mean field generalized contact process in $\mathbb{R}^d$. 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.
Topik & Kata Kunci
Penulis (2)
L
Logan Chariker
J
Joel Lebowitz
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2021
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- en
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- arXiv
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- Open Access ✓