Fluctuation–dissipation: Response theory in statistical physics
General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of fluctuations in statistical mechanics, we illustrate the relation between the relaxation of spontaneous fluctuations, and the response to an e...
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| Published in | Physics reports Vol. 461; no. 4; pp. 111 - 195 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier B.V
01.06.2008
Elsevier Science |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0370-1573 1873-6270 |
| DOI | 10.1016/j.physrep.2008.02.002 |
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| Abstract | General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of fluctuations in statistical mechanics, we illustrate the relation between the relaxation of spontaneous fluctuations, and the response to an external perturbation. These studies date back to Einstein’s work on Brownian Motion, were continued by Nyquist and Onsager and culminated in Kubo’s linear response theory.
The FDR has been originally developed in the framework of statistical mechanics of Hamiltonian systems, nevertheless a generalized FDR holds under rather general hypotheses, regardless of the Hamiltonian, or equilibrium nature of the system. In the last decade, this subject was revived by the works on Fluctuation Relations (FR) concerning far from equilibrium systems. The connection of these works with large deviation theory is analyzed.
Some examples, beyond the standard applications of statistical mechanics, where fluctuations play a major role are discussed: fluids, granular media, nanosystems and biological systems. |
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| AbstractList | General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of fluctuations in statistical mechanics, we illustrate the relation between the relaxation of spontaneous fluctuations, and the response to an external perturbation. These studies date back to Einstein’s work on Brownian Motion, were continued by Nyquist and Onsager and culminated in Kubo’s linear response theory.
The FDR has been originally developed in the framework of statistical mechanics of Hamiltonian systems, nevertheless a generalized FDR holds under rather general hypotheses, regardless of the Hamiltonian, or equilibrium nature of the system. In the last decade, this subject was revived by the works on Fluctuation Relations (FR) concerning far from equilibrium systems. The connection of these works with large deviation theory is analyzed.
Some examples, beyond the standard applications of statistical mechanics, where fluctuations play a major role are discussed: fluids, granular media, nanosystems and biological systems. |
| Author | Rondoni, Lamberto Marconi, Umberto Marini Bettolo Vulpiani, Angelo Puglisi, Andrea |
| Author_xml | – sequence: 1 givenname: Umberto Marini Bettolo surname: Marconi fullname: Marconi, Umberto Marini Bettolo organization: Università di Camerino, Dipartimento di Matematica e Fisica, Via Madonna delle Carceri, I-62032 Camerino, Italy – sequence: 2 givenname: Andrea surname: Puglisi fullname: Puglisi, Andrea email: andrea.puglisi@roma1.infn.it organization: Università di Roma “La Sapienza”, Dipartimento di Fisica, p.le Aldo Moro 2, I-00185 Roma, Italy – sequence: 3 givenname: Lamberto surname: Rondoni fullname: Rondoni, Lamberto organization: Dipartimento di Matematica and INFM, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy – sequence: 4 givenname: Angelo surname: Vulpiani fullname: Vulpiani, Angelo organization: Università di Roma “La Sapienza”, Dipartimento di Fisica, p.le Aldo Moro 2, I-00185 Roma, Italy |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20414185$$DView record in Pascal Francis |
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| Keywords | 05.40.-a 45.70.-n Large deviations Correlation functions Nonequilibrium phenomena 47.52.+j 05.70.Ln 02.50.Ga 51.20.+d 47.27.eb 47.27.-i 05.60.-k Fluctuation relations Brownian motion Relaxation Fluctuations Hamiltonians Statistical physics Statistical theory Disturbances Linear theory Hamiltonian mechanics 05.40.-a;05.70.Ln;45.70.-n;47.52.+j;02.50.Ga;05.60.-k;47.27.-i;47.27.eb;51.20.+d;Correlation functions;Nonequilibrium phenomena;Large deviations;Fluctuation relations Statistical mechanics Large deviation |
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| Title | Fluctuation–dissipation: Response theory in statistical physics |
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