We review the general aspects of the concept of temperature in equilibrium and non- equilibrium statistical mechanics. Although temperature is an old and well-established notion, it still presents controversial facets. After a short historical survey of the key role of temperature in thermodynamics and statistical mechanics, we tackle a series of issues which have been recently reconsidered. In particular, we discuss different definitions and their relevance for energy fluctuations. The interest in such a topic has been triggered by the recent observation of negative temperatures in condensed matter experiments. Moreover, the ability to manipulate systems at the micro and nano-scale urges to understand and clarify some aspects related to the statistical properties of small systems (as the issue of temperature’s ‘‘fluctuations’’). We also discuss the notion of temperature in a dynamical context, within the theory of linear response for Hamiltonian systems at equilibrium and stochastic models with detailed balance, and the generalized fluctuation–response relations, which provide a hint for an extension of the definition of temperature in far- from-equilibrium systems. To conclude we consider non-Hamiltonian systems, such as granular materials, turbulence and active matter, where a general theoretical framework is still lacking.
Temperature in and out of equilibrium: A review of concepts, tools and attempts / Puglisi, A.; Sarracino, A.; Vulpiani, A.. - In: PHYSICS REPORTS. - ISSN 0370-1573. - STAMPA. - 709-710:(2017), pp. 1-60. [10.1016/j.physrep.2017.09.001]
Temperature in and out of equilibrium: A review of concepts, tools and attempts
Puglisi, A.Membro del Collaboration Group
;Sarracino, A.;
2017
Abstract
We review the general aspects of the concept of temperature in equilibrium and non- equilibrium statistical mechanics. Although temperature is an old and well-established notion, it still presents controversial facets. After a short historical survey of the key role of temperature in thermodynamics and statistical mechanics, we tackle a series of issues which have been recently reconsidered. In particular, we discuss different definitions and their relevance for energy fluctuations. The interest in such a topic has been triggered by the recent observation of negative temperatures in condensed matter experiments. Moreover, the ability to manipulate systems at the micro and nano-scale urges to understand and clarify some aspects related to the statistical properties of small systems (as the issue of temperature’s ‘‘fluctuations’’). We also discuss the notion of temperature in a dynamical context, within the theory of linear response for Hamiltonian systems at equilibrium and stochastic models with detailed balance, and the generalized fluctuation–response relations, which provide a hint for an extension of the definition of temperature in far- from-equilibrium systems. To conclude we consider non-Hamiltonian systems, such as granular materials, turbulence and active matter, where a general theoretical framework is still lacking.File | Dimensione | Formato | |
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