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- W2080700488 abstract "We introduce an urn model that describes spatial separation of sand. In this dynamical model, in a certain range of parameters spontaneous symmetry breaking takes place and equipartitioning of sand into two compartments is broken. The steady-state equation for an order parameter, a critical line, and the tricritical point on the phase diagram are found exactly. The master equation and the first-passage problem for the model are solved numerically and the results are used to locate first-order transitions. Exponential divergence of a certain characteristic time shows that the model can also exhibit very strong metastability. In certain cases characteristic time diverges as N(z), where N is the number of balls and z=1 / 2 (critical line), 2 / 3 (tricritical point), or 1 / 3 (limits of stability)." @default.
- W2080700488 created "2016-06-24" @default.
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- W2080700488 date "2002-02-27" @default.
- W2080700488 modified "2023-10-10" @default.
- W2080700488 title "Urn model of separation of sand" @default.
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- W2080700488 doi "https://doi.org/10.1103/physreve.65.031307" @default.
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