English

Non-stationary solutions driven by thermodynamic power in the white-noise Langevin model

Statistical Mechanics 2009-08-13 v1

Abstract

The average thermodynamic power of a time-dependent external potential in the white-noise Langevin model is derived using a Green's function solution. The power appears as a driving term in the differential equation for the average energy and determines whether the solution is stationary or non-stationary. Different dynamics are illustrated with explicit models: a linear potential with a static magnetic field, a linear potential perturbed with an oscillating component and a magnetic field switch modeled using a tanh\tanh protocol.

Keywords

Cite

@article{arxiv.0908.1595,
  title  = {Non-stationary solutions driven by thermodynamic power in the white-noise Langevin model},
  author = {Mikhail P. Solon and Kristian Hauser Villegas and J. P. Esguerra},
  journal= {arXiv preprint arXiv:0908.1595},
  year   = {2009}
}

Comments

13 pages, 3 figures