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Helium condensation in aerogel: avalanches and disorder-induced phase transition

F. Detcheverry·E. Kierlik·M. L. Rosinberg·G. Tarjus
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Abstract

We present a detailed numerical study of the elementary condensation events (avalanches) associated to the adsorption of $^4$He in silica aerogels. We use a coarse-grained lattice-gas description and determine the nonequilibrium behavior of the adsorbed gas within a local mean-field analysis, neglecting thermal fluctuations and activated processes. We investigate the statistical properties of the avalanches, such as their number, size and shape along the adsorption isotherms as a function of gel porosity, temperature, and chemical potential. Our calculations predict the existence of a line of critical points in the temperature-porosity diagram where the avalanche size distribution displays a power-law behavior and the adsorption isotherms have a universal scaling form. The estimated critical exponents seem compatible with those of the field-driven Random Field Ising Model at zero temperature.

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F. Detcheverry, E. Kierlik, M. L. Rosinberg, G. Tarjus. 2005-10-06. Helium condensation in aerogel: avalanches and disorder-induced phase transition. https://doi.org/10.1103/physreve.72.051506

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