scholarly journals Nonequilibrium Stationary States of 3D Self-Gravitating Systems

2014 ◽  
Vol 113 (10) ◽  
Author(s):  
Fernanda P. C. Benetti ◽  
Ana C. Ribeiro-Teixeira ◽  
Renato Pakter ◽  
Yan Levin
Keyword(s):  
Stationary States ◽  
Nonequilibrium Stationary States ◽  
Gravitating Systems

scholarly journals A Convergence Theorem for the Nonequilibrium States in the Discrete Thermostatted Kinetic Theory

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 673
Author(s):  
Carlo Bianca ◽  
Marco Menale
Keyword(s):  
Mathematical Modeling ◽  
Fourier Transform ◽  
Kinetic Model ◽  
Stationary Solutions ◽  
Stationary States ◽  
Rigorous Proof ◽  
Nonequilibrium Stationary States ◽  
Dissipative Term ◽  
External Force Field ◽  
Nonequilibrium States

The existence and reaching of nonequilibrium stationary states are important issues that need to be taken into account in the development of mathematical modeling frameworks for far off equilibrium complex systems. The main result of this paper is the rigorous proof that the solution of the discrete thermostatted kinetic model catches the stationary solutions as time goes to infinity. The approach towards nonequilibrium stationary states is ensured by the presence of a dissipative term (thermostat) that counterbalances the action of an external force field. The main result is obtained by employing the Discrete Fourier Transform (DFT).

scholarly journals Flux and storage of energy in nonequilibrium stationary states

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Robert Holyst ◽  
Anna Maciołek ◽  
Yirui Zhang ◽  
Marek Litniewski ◽  
Piotr Knychała ◽  
...  
Keyword(s):  
Stationary States ◽  
Nonequilibrium Stationary States ◽  
And Storage
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