Infinite particle systems of long range jumps with long range interactions
نویسندگان
چکیده
منابع مشابه
Long-Range Interactions in Many-Particle Simulation
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متن کاملNature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions
Alejandro Mendoza-Coto, Daniel A. Stariolo, and Lucas Nicolao Departamento de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre, RS, Brazil Departamento de Física, Universidade Federal do Rio Grande do Sul and National Institute of Science and Technology for Complex Systems, CP 15051, 91501-970 Porto Alegre, RS, Brazil Departamento de Física, Universidade Feder...
متن کاملComment on "Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions".
We study two dimensional stripe forming systems with competing repulsive interactions decaying as r(-α). We derive an effective Hamiltonian with a short-range part and a generalized dipolar interaction which depends on the exponent α. An approximate map of this model to a known XY model with dipolar interactions allows us to conclude that, for α<2 long-range orientational order of stripes can e...
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Abstract. Many physical systems are governed by long range interactions, the main example being self-gravitating stars. Long range interaction implies a lack of additivity for the energy. As a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with many claims, the statistical mechanics of such systems is a well understood subject. In this proceeding, we explain...
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We discuss the form of the entropy for classical Hamiltonian systems with long-range interaction using the Vlasov equation which describes the dynamics of a N particle in the limit N-->infinity. The stationary states of the Hamiltonian system are subject to infinite conserved quantities due to the Vlasov dynamics. We show that the stationary states correspond to an extremum of the Boltzmann-Gib...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2019
ISSN: 0040-8735
DOI: 10.2748/tmj/1552100440