caa a22 4500 445391820 CHVBK 20180317143049.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10955-011-0123-0 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0123-0 Study of a Long Range Perturbation ofaOne-Dimensional Kac Model [Elektronische Daten] [Marzio Cassandro, Immacolata Merola, Maria Vares] We consider a one dimensional ferromagnetic Ising spin system with interactions that correspond to a 1/r 2 long range perturbation of the usual Kac model. We apply a coarse graining procedure widely used for higher-dimensional finite range Kac potentials to describe the basic properties of the system and the relation with the mean field theory. Springer Science+Business Media, LLC, 2011 Kac model nationallicence Long range interaction nationallicence Peierls estimates nationallicence Cassandro Marzio Università di Roma "La Sapienza”, P.le A. Moro, 00185, Rome, Italy aut Merola Immacolata Dipartimento di Matematica Pura ed Applicata, Università di L'Aquila, 67100, L'Aquila, Italy aut Vares Maria Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/3(2011-02-01), 487-509 0022-4715 142:3<487 2011 142 10955 https://doi.org/10.1007/s10955-011-0123-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0123-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cassandro Marzio Università di Roma "La Sapienza”, P.le A. Moro, 00185, Rome, Italy aut NATIONALLICENCE 700 1- Merola Immacolata Dipartimento di Matematica Pura ed Applicata, Università di L'Aquila, 67100, L'Aquila, Italy aut NATIONALLICENCE 700 1- Vares Maria Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/3(2011-02-01), 487-509 0022-4715 142:3<487 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer