
Thermo-mechanical Transport in Rotor Chains
Iacobucci, Alessandra; Olla, Stefano; Stoltz, Gabriel (2021), Thermo-mechanical Transport in Rotor Chains, Journal of Statistical Physics, 183, 2. 10.1007/s10955-021-02748-8
View/ Open
Type
Article accepté pour publication ou publiéDate
2021Journal name
Journal of Statistical PhysicsVolume
183Number
2Publisher
Springer
Publication identifier
Metadata
Show full item recordAuthor(s)
Iacobucci, Alessandra
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Olla, Stefano

CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Stoltz, Gabriel
Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique [CERMICS]
Abstract (EN)
We study the macroscopic profiles of temperature and angular momentum in the stationary state of chains of rotors under a thermo-mechanical forcing applied at the boundaries. These profiles are solutions of a system of diffusive partial differential equations with boundary conditions determined by the thermo-mechanical forcing. Instead of expensive Monte Carlo simulations of the underlying microscopic dynamics, we perform extensive numerical simulations based on a finite difference method for the system of partial differential equations describing the macroscopic steady state. We first present a formal derivation of these stationary equations based on a linear response argument and local equilibrium assumptions. We then study various properties of the solutions to these equations. This allows to characterize the regime of parameters leading to uphill diffusion, a situation where the energy flows in the direction of the gradient of temperature; and to identify regions of parameters corresponding to a negative thermal conductivity (i.e. a positive linear response to a gradient of temperature). The agreement with previous results obtained by numerical simulation of the microscopic physical system confirms the validity of the macroscopic equations we derive.Subjects / Keywords
Thermal transport; Rotor chain; Thermo-mechanical response; Macroscopic diffusion equations; Uphill diffusionRelated items
Showing items related by title and author.
-
Stoltz, Gabriel; Iacobucci, Alessandra; Legoll, Frédéric; Olla, Stefano (2011) Article accepté pour publication ou publié
-
Iacobucci, Alessandra; Legoll, Frédéric; Olla, Stefano; Stoltz, Gabriel (2010) Article accepté pour publication ou publié
-
Iacobucci, Alessandra; Olla, Stefano; Stoltz, Gabriel (2017) Article accepté pour publication ou publié
-
Iacobucci, Alessandra (2017-10-20) Thèse
-
Olla, Stefano; Simon, Marielle; Komorowski, Tomasz (2018) Article accepté pour publication ou publié