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Mutual thermal equilibrium in long-range Ising model using nonadditive entropy
Affiliation:1. Dipartimento di Física, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy;2. Dipartimento di Física, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy;3. INFN and Dipartimento di Física, Università di Cagliari, Cittadella Universitaria, I-09042 Monserrato (CA), Italy;1. Institute of Electronics, Microelectronics and Nanotechnology (IEMN UMR CNRS 8520), 59652 Villeneuve d’Ascq, France;2. International Associated Laboratory LIA LEMAC/LICS, ECLille, 59652 Villeneuve d’Ascq, France;3. University of Lille I, 59652 Villeneuve d’Ascq, France;1. Department of Applied Mathematics, Delhi Technological University, Bawana Road, Delhi-110042, India;2. Department of Applied Sciences, UIET, M.D. University, Rohtak-124001, India;1. Faculty of Mathematical Sciences, University of Tabriz, Tabriz 51666-14766, Iran;2. Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands;1. Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, 305–8573, Japan;2. Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba, 305–8573, Japan;3. CREST/JST, 4-1-8 Hon-cho, Kawaguchi-shi, Saitama 332-0012, Japan
Abstract:Mutual equilibrium in long-range interacting systems which involve nonadditive energy, is effectively described in terms of entropy with a nonadditive composition rule. As an example, long-range Ising model is considered. The generality of the term having product of the system entropies is pointed out in this framework.
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