Subleading long-range interactions and violations of finite size scaling

Details Subleading long-range interactions and violations of finite size scaling Subleading long-range interactions and violations of finite size scaling

2000-10-30

arxiv.org/abs/cond-mat/0010478v4

Eur. Phys. J. B v. 21 (2001) 251-268

Physics

Condensed Matter

Statistical Mechanics

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Scientific paper

10.1007/s100510170201

We study the behavior of systems in which the interaction contains a long-range component that does not dominate the critical behavior. Such a component is exemplified by the van der Waals force between molecules in a simple liquid-vapor system. In the context of the mean spherical model with periodic boundary conditions we are able to identify, for temperatures close above $T_c$, finite-size contributions due to the {\it subleading} term in the interaction that are {\it dominant} in this region decaying algebraically as a function of $L$. This mechanism goes beyond the standard formulation of the finite-size scaling but is to be expected in real physical systems. We also discuss other ways in which critical point behavior is modified that are of relevance for analysis of Monte Carlo simulations of such systems.

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