تقرير
Bargaining with entropy and energy
| العنوان: | Bargaining with entropy and energy |
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| المؤلفون: | Babajanyan, S. G., Cheong, K. H., Allahverdyan, A. E. |
| المصدر: | Phys. Rev. Research 2, 043055 (2020) |
| سنة النشر: | 2019 |
| المجموعة: | Computer Science Condensed Matter Physics (Other) |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Computer Science - Computer Science and Game Theory, Physics - Data Analysis, Statistics and Probability |
| الوصف: | Statistical mechanics is based on interplay between energy minimization and entropy maximization. Here we formalize this interplay via axioms of cooperative game theory (Nash bargaining) and apply it out of equilibrium. These axioms capture basic notions related to joint maximization of entropy and minus energy, formally represented by utilities of two different players. We predict thermalization of a non-equilibrium statistical system employing the axiom of affine covariance|related to the freedom of changing initial points and dimensions for entropy and energy|together with the contraction invariance of the entropy-energy diagram. Whenever the initial non-equilibrium state is active, this mechanism allows thermalization to negative temperatures. Demanding a symmetry between players fixes the final state to a specific positive-temperature (equilibrium) state. The approach solves an important open problem in the maximum entropy inference principle, {\it viz.} generalizes it to the case when the constraint is not known precisely. Comment: 4+6 pages, 5 figures, 1 table |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevResearch.2.043055 |
| URL الوصول: | http://arxiv.org/abs/1910.06544 |
| رقم الأكسشن: | edsarx.1910.06544 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevResearch.2.043055 |
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