Heat flux in one-dimensional systems

Carlos Mejia-Monasterio (Corresponding Author), Antonio Politi, Lamberto Rondoni

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Abstract

Understanding heat transport in one-dimensional systems remains a major challenge in theoretical physics, both from the quantum as well as from the classical point of view. In fact, steady states of one-dimensional systems are commonly characterized by macroscopic inhomogeneities, and by long-range correlations, as well as large fluctuations that are typically absent in standard three-dimensional thermodynamic systems. These effects violate locality—material properties in the bulk may be strongly affected by the boundaries, leading to anomalous energy transport—and they make more problematic the interpretation of mechanical microscopic quantities in terms of thermodynamic observables. Here, we revisit the problem of heat conduction in chains of classical nonlinear oscillators, following a Lagrangian and a Eulerian approach. The Eulerian definition of the flux is composed of a convective and a conductive component. The former component tends to prevail at large temperatures where the system behavior is increasingly gaslike. Finally, we find that the convective component tends to be negative in the presence of a negative pressure.
Original languageEnglish
Article number032139
Number of pages9
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume100
Issue number3
Early online date25 Sep 2019
DOIs
Publication statusPublished - Sep 2019

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One-dimensional System
Heat Flux
heat flux
Thermodynamics
Tend
theoretical physics
thermodynamics
Heat Transport
Long-range Correlations
Nonlinear Oscillator
Violate
Heat Conduction
Inhomogeneity
conductive heat transfer
Anomalous
inhomogeneity
oscillators
Physics
Fluctuations
heat

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Heat flux in one-dimensional systems. / Mejia-Monasterio, Carlos (Corresponding Author); Politi, Antonio; Rondoni, Lamberto.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 100, No. 3, 032139, 09.2019.

Research output: Contribution to journalArticle

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