6533b82cfe1ef96bd128ff00
RESEARCH PRODUCT
Kac-potential treatment of nonintegrable interactions.
Erik LuijtenBenjamin Vollmayr-leeBenjamin Vollmayr-leesubject
PhysicsClass (set theory)Statistical Mechanics (cond-mat.stat-mech)FOS: Physical sciencesContext (language use)Statistical mechanicsClassical mechanicsCutoffPeriodic boundary conditionsPairwise comparisonBoundary value problemStatistical physicsCondensed Matter - Statistical MechanicsInteraction rangedescription
We consider d-dimensional systems with nonintegrable, algebraically decaying pairwise interactions. It is shown that, upon introduction of periodic boundary conditions and a long-distance cutoff in the interaction range, the bulk thermodynamics can be obtained rigorously by means of a Kac-potential treatment, leading to an exact, mean-field-like theory. This explains various numerical results recently obtained for finite systems in the context of ``nonextensive thermodynamics,'' and in passing exposes a strong regulator dependence not discussed in these studies. Our findings imply that, contrary to some claims, Boltzmann-Gibbs statistics are sufficient for a standard description of this class of nonintegrable interactions.
year | journal | country | edition | language |
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2000-09-03 | Physical review. E, Statistical, nonlinear, and soft matter physics |