English

Comparison of different thermostats in the Holstein model

Statistical Mechanics 2023-10-10 v1

Abstract

When modeling charge dynamics in a chain of N sites at a temperature T, a Langevin thermostat and a Hamiltonian system, i.e., a chain heated to a given temperature before charge is injected, are compared. It is shown that the polaron disruption occurs in the same range of values of the thermal energy NT, however, T is not given by the initial data, but obtained after simulation from the average kinetic energy. For large T, the results averaged over a set of trajectories in a system with a Langevin thermostat and the results averaged over time for a Hamiltonian system are close, which does not contradict the Ergodic hypothesis.

Keywords

Cite

@article{arxiv.2310.05277,
  title  = {Comparison of different thermostats in the Holstein model},
  author = {N. Fialko and M. Olshevets and V. D. Lakhno},
  journal= {arXiv preprint arXiv:2310.05277},
  year   = {2023}
}

Comments

5 pages, 2 figures