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Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States

Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States
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摘要 We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process. We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process.
作者 Angel Ricardo Plastino Gustvo Luis Ferri Mario Carlos Rocca Angelo Plastino Angel Ricardo Plastino;Gustvo Luis Ferri;Mario Carlos Rocca;Angelo Plastino(CeBio y Departamento de Ciencias Básicas, Universidad Nacional del Noroeste de la Prov. de Buenos Aires, Junin, Argentina;Argentina’s National Research Council (CONICET), La Plata, Argentina;Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Junin, Argentina;Departamento de Física, Universidad Nacional de La Plata, La Plata, Argentina;Departamento de Matemática, Universidad Nacional de La Plata, La Plata, Argentina;SThAR - EPFL, Lausanne, Switzerland)
出处 《Journal of Modern Physics》 2020年第7期1031-1043,共13页 现代物理(英文)
关键词 Information Theory Master Equation Thermal Time-Evolution Equilibrium-Off Equilibrium Distances Information Theory Master Equation Thermal Time-Evolution Equilibrium-Off Equilibrium Distances
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