{
  "id": "cond-mat/0601419",
  "version": "v2",
  "published": "2006-01-18T18:11:17.000Z",
  "updated": "2006-05-15T18:28:10.000Z",
  "title": "Brownian Dynamics, Time-averaging and Colored Noise",
  "authors": [
    "D. O. Soares-Pinto",
    "W. A. M. Morgado"
  ],
  "comment": "1 figure",
  "journal": "Physica A vol. 365 (2006) 289-299",
  "doi": "10.1016/j.physa.2006.01.063",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We propose a method to obtain the equilibrium distribution for positions and velocities of a one-dimensional particle via time-averaging and Laplace transformations. We apply it to the case of a damped harmonic oscillator in contact with a thermal bath. The present method allows us to treat, among other cases, a Gaussian noise function exponentially correlated in time, e.g., Gaussian colored noise. We obtain the exact equilibrium solution and study some of its properties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-05-15T18:28:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "colored noise",
      "brownian dynamics",
      "time-averaging",
      "exact equilibrium solution",
      "harmonic oscillator"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}