English

Multi-species reaction-diffusion models admitting shock solutions

Statistical Mechanics 2011-01-04 v2

Abstract

A method for classifying nn-species reaction-diffusion models, admitting shock solutions is presented. The most general one-dimensional two-species reaction-diffusion model with nearest neighbor interactions admitting uniform product measures as the stationary states is studied. Satisfying more constraints, these models may experience single-shock solutions. These models are generalized to multi-species models. The two-species models are studied in detail. Dynamical phase transitions of such models are also investigated.

Keywords

Cite

@article{arxiv.1012.5540,
  title  = {Multi-species reaction-diffusion models admitting shock solutions},
  author = {S. Masoomeh Hashemi and Amir Aghamohammadi},
  journal= {arXiv preprint arXiv:1012.5540},
  year   = {2011}
}

Comments

21 pages

R2 v1 2026-06-21T17:04:20.371Z