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Fluctuation-dissipation: Response theory in statistical physics (Articolo in rivista)
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- Label
- Fluctuation-dissipation: Response theory in statistical physics (Articolo in rivista) (literal)
- Anno
- 2008-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1016/j.physrep.2008.02.002 (literal)
- Alternative label
Marini Bettolo Marconi, U (a); Puglisi, A (b); Rondoni, L (c); Vulpiani, A (b,d) (2008)
Fluctuation-dissipation: Response theory in statistical physics
in Physics Reports. A review section of physics letters
(literal)
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- Marini Bettolo Marconi, U (a); Puglisi, A (b); Rondoni, L (c); Vulpiani, A (b,d) (literal)
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- Review.
To the memory of Robert H. Kraichnan (1928-2008), whose conspicuous and remarkable achievements include fundamental contributions to the subject of our review. (literal)
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- a) Università di Camerino, Dipartimento di Matematica e Fisica, Via Madonna delle Carceri, I-62032 Camerino, Italy;
b) Università di Roma \"La Sapienza\", Dipartimento di Fisica, p.le Aldo Moro 2, I-00185 Roma, Italy;
c) Dipartimento di Matematica and INFM, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy;
d) INFN, p.le Aldo Moro 2, I-00185 Roma, Italy; (literal)
- Titolo
- Fluctuation-dissipation: Response theory in statistical physics (literal)
- 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. (C) 2008 Elsevier B.V. All rights reserved. (literal)
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