scholarly journals Analytic solution of the domain-wall nonequilibrium stationary state

2018 ◽  
Vol 97 (8) ◽  
Author(s):  
Mario Collura ◽  
Andrea De Luca ◽  
Jacopo Viti
Keyword(s):  
Domain Wall ◽  
Stationary State ◽  
Analytic Solution ◽  
Nonequilibrium Stationary State

Nonequilibrium stationary state of a current-carrying thermostated system

2013 ◽  
Vol 102 (1) ◽  
pp. 15001 ◽  
Author(s):  
F. Bonetto ◽  
N. Chernov ◽  
A. Korepanov ◽  
J. L. Lebowitz
Keyword(s):  
Stationary State ◽  
Nonequilibrium Stationary State ◽  
A Current

Thermodynamic Extremum Principles for Nonequilibrium Stationary State in Heat Conduction

2017 ◽  
Vol 139 (7) ◽  
Author(s):  
Yangyu Guo ◽  
Ziyan Wang ◽  
Moran Wang
Keyword(s):  
Thermal Conductivity ◽  
Heat Conduction ◽  
Stationary State ◽  
Transient Heat Conduction ◽  
Clear Understanding ◽  
Minimum Entropy ◽  
Dissipation Potential ◽  
Nonequilibrium Stationary State ◽  
Minimum Entropy Production ◽  
Constant Thermal Conductivity

Minimum entropy production principle (MEPP) is an important variational principle for the evolution of systems to nonequilibrium stationary state. However, its restricted validity in the domain of Onsager's linear theory requires an inverse temperature square-dependent thermal conductivity for heat conduction problems. A previous derivative principle of MEPP still limits to constant thermal conductivity case. Therefore, the present work aims to generalize the MEPP to remove these nonphysical limitations. A new dissipation potential is proposed, the minimum of which thus corresponds to the stationary state with no restriction on thermal conductivity. We give both rigorous theoretical verification of the new extremum principle and systematic numerical demonstration through 1D transient heat conduction with different kinds of temperature dependence of the thermal conductivity. The results show that the new principle remains always valid while MEPP and its derivative principle fail beyond their scopes of validity. The present work promotes a clear understanding of the existing thermodynamic extremum principles and proposes a new one for stationary state in nonlinear heat transport.

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