Stochastic Dynamics of Einstein Matter-Radiation Model with Spikes
Probability
2018-03-28 v1
Abstract
Motivated by the Einstein classical description of the matter-radiation dynamics we revise a dynamical system producing spikes of the photon emission. Then we study the corresponding stochastic model, which takes into account the randomness of spontaneous and stimulated atomic transitions supporting by a pumping. Our model reduces to Markovian density dependent processes for the inversion coefficient and the photon specific value driven by small but fast jumps. We analyse the model in three limits: the many-component, the mean-field, and the one-component. In the last case it is a positive recurrent Markov chain with sound spikes.
Cite
@article{arxiv.1803.08962,
title = {Stochastic Dynamics of Einstein Matter-Radiation Model with Spikes},
author = {E. Pechersky and A. Yambartsev and V. Zagrebnov},
journal= {arXiv preprint arXiv:1803.08962},
year = {2018}
}
Comments
19 pages, 6 figures