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The long-time fluctuations of a Brownian sphere
| Content Provider | Scilit |
|---|---|
| Author | Warner, M. |
| Copyright Year | 1979 |
| Description | Journal: Journal of Physics A: General Physics Statistical-mechanical problems of principle associated with long-time correlation are discussed using the example of retarded Brownian motion. The well known 'stochastic' solutions are quoted and the fundamental inadequacies of the Fokker-Planck solutions to the problem demonstrated. An alternative is to adopt Edwards' (1964) concept of a 'Lagrangian' phase space with a Lagrangian Fokker-Planck equation. Within this extended phase space, problems of history dependence, non-separation of time scales and non-exponential decays are solved consistently. Considering the role of the fluctuation-dissipation theorem the character of the asymptotic solution in the Brownian problem is obtained. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/12/9/018/pdf |
| Ending Page | 1519 |
| Page Count | 9 |
| Starting Page | 1511 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/12/9/018 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 9 |
| Volume Number | 12 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1979-09-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Mathematical Physics Fluctuation Dissipation Theorem Phase Space Fokker Planck Fokker Planck Equation Exponential Decay Statistical Mechanics Brownian Motion |
| Content Type | Text |
| Resource Type | Article |
