Size dependence of self-diffusion in the hard-square lattice gas |
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| Authors: | J Jäckle K Froböse D Knödler |
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| Institution: | (1) Fakultät für Physik, Universität Konstanz, D-7750 Konstanz, Germany |
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| Abstract: | A striking size dependence of the mean-square displacement of diffusing particles in the two-dimensional lattice gas of hard squares has been observed by Monte Carlo simulation. It is shown that the size effect is due to the formation of a stable cage structure in small lattices when the particle concentration is high. The formation of cages is governed by a new type of percolation problem related to bootstrap percolation. |
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| Keywords: | Lattice gas self-diffusion size effect bootstrap percolation Monte Carlo simulation |
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