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arXiv · 1208.4794

Critical dynamics of an isothermal compressible non-ideal fluid

Markus Gross·Fathollah Varnik
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Abstract

A pure fluid at its critical point shows a dramatic slow-down in its dynamics, due to a divergence of the order-parameter susceptibility and the coefficient of heat transport. Under isothermal conditions, however, sound waves provide the only possible relaxation mechanism for order-parameter fluctuations. Here we study the critical dynamics of an isothermal, compressible non-ideal fluid via scaling arguments and computer simulations of the corresponding fluctuating hydrodynamics equations. We show that, below a critical dimension of 4, the order-parameter dynamics of an isothermal fluid effectively reduces to "model A," characterized by overdamped sound waves and a divergent bulk viscosity. In contrast, the shear viscosity remains finite above two dimensions. Possible applications of the model are discussed.

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BibTeXRIS

Markus Gross, Fathollah Varnik. 2012-12-17. Critical dynamics of an isothermal compressible non-ideal fluid. https://doi.org/10.1103/physreve.86.061119

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