Bonanca, Marcus V. S. (2008) Fluctuation-dissipation theorem for the microcanonical ensemble. PHYSICAL REVIEW E, 78 (3): 031107. ISSN 1539-3755,
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A derivation of the fluctuation-dissipation theorem for the microcanonical ensemble is presented using linear response theory. The theorem is stated as a relation between the frequency spectra of the symmetric correlation and response functions. When the system is not in the thermodynamic limit, this result can be viewed as an extension of the fluctuation-dissipation relations to a situation where dynamical fluctuations determine the response. Therefore, the relation presented here between equilibrium fluctuations and response can have a very different physical nature from the usual one in the canonical ensemble. These considerations imply that the fluctuation-dissipation theorem is not restricted to the context of the canonical ensemble, where it is usually derived. Dispersion relations and sum rules are also obtained and discussed in the present case. Although analogous to the Kramers-Kronig relations, they are not related to the frequency spectrum but to the energy dependence of the response function.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LINEAR RESPONSE THEORY; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Oct 2020 10:21 |
| Last Modified: | 26 Oct 2020 10:21 |
| URI: | https://pred.uni-regensburg.de/id/eprint/30435 |
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