Simulation of static critical phenomena in non-ideal fluids with the Lattice Boltzmann method

M. Gross; F. Varnik

doi:10.1103/physreve.85.056707

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arXiv · 1202.4748

Simulation of static critical phenomena in non-ideal fluids with the Lattice Boltzmann method

M. Gross·F. Varnik

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Abstract

A fluctuating non-ideal fluid at its critical point is simulated with the Lattice Boltzmann method. It is demonstrated that the method, employing a Ginzburg-Landau free energy functional, correctly reproduces the static critical behavior associated with the Ising universality class. A finite-size scaling analysis is applied to determine the critical exponents related to the order parameter, compressibility and specific heat. A particular focus is put on finite-size effects and issues related to the global conservation of the order-parameter.

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physics.comp-ph cond-mat.soft physics.flu-dyn

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BibTeX RIS

M. Gross, F. Varnik. 2012-07-02. Simulation of static critical phenomena in non-ideal fluids with the Lattice Boltzmann method. https://doi.org/10.1103/physreve.85.056707

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