{
  "id": "2007.03967",
  "version": "v1",
  "published": "2020-07-08T08:50:06.000Z",
  "updated": "2020-07-08T08:50:06.000Z",
  "title": "Correlations in multithermostat Brownian systems with Lorentz force",
  "authors": [
    "Iman Abdoli",
    "Erik Kalz",
    "Hidde Derk Vuijk",
    "René Wittmann",
    "Jens-Uwe Sommer",
    "Joseph Michael Brader",
    "Abhinav Sharma"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We study the motion of a Brownian particle subjected to Lorentz force due to an external magnetic field. Each spatial degree of freedom of the particle is coupled to a different thermostat. We show that the magnetic field results in correlation between different velocity components in the stationary state. Integrating the velocity autocorrelation matrix, we obtain the diffusion tensor that enters the Fokker-Planck equation for the probability density. The eigenvectors of the tensor do not match with the temperature axes. We further show that in the presence of an isotropic confining potential, an unusual, flux-free steady state emerges which is characterized by a non-Boltzmann density distribution, which can be rotated by reversing the magnetic field. The nontrivial steady state properties of our system result from the Lorentz force induced coupling of the spatial degrees of freedom which cease to exist in equilibrium corresponding to a single-temperature system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-08T08:50:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lorentz force",
      "multithermostat brownian systems",
      "spatial degree",
      "nontrivial steady state properties",
      "flux-free steady state emerges"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}