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Temperature and correlations in 1-dimensional systems

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Abstract

Local thermodynamic equilibrium (LTE) plays a crucial role in statistical mechanics and thermodynamics. Under small driving and LTE, locally conserved quantities are transported as prescribed by linear hydrodynamic laws, in which the local material properties of the systems at hand are represented by the transport coefficients. The robustness and universality of equilibrium properties is not guaranteed in nonequilibrium states, in which different microscopic quantities may behave differently, even if they coincide at equilibrium. We investigate these issues considering 1-dimensional chains of N oscillators. We observe that non-negligible fluctuations, and persistence of correlations frustrate the onset of LTE, hence the existence of thermodynamic fields, such as temperature.

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Authors and Affiliations

  1. Dipartimento di Scienze e Metodi dell’Ingegneria, Università di Modena e Reggio Emilia, Via Amendola 2, Padiglione Morselli, 42122, Reggio Emilia, Italy

    Claudio Giberti

  2. Dipartimento di Matematica, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129, Torino, Italy

    Lamberto Rondoni

  3. Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, Via G. Campi 213/B, 41125, Modena, Italy

    Cecilia Vernia

Authors
  1. Claudio Giberti
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  2. Lamberto Rondoni
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  3. Cecilia Vernia
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Correspondence to Cecilia Vernia.

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Giberti, C., Rondoni, L. & Vernia, C. Temperature and correlations in 1-dimensional systems. Eur. Phys. J. Spec. Top. 228, 129–142 (2019). https://doi.org/10.1140/epjst/e2019-800138-8

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  • DOI: https://doi.org/10.1140/epjst/e2019-800138-8

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