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

• 作者: Angel Ricardo Plastino Angelo Plastino Gustvo Luis Ferri Mario Carlos Rocca
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Information Theory Master Equation Thermal Time-Evolution Equilibrium-Off Equilibrium Distances
• 年，卷（期）: xdwlyw_2020,（7）
• 页码范围: 1031-1043
• 页数: 13页
• 分类号: O17

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.