A self-organized critical model of rearranging hydrogen-bonded network in ice

Details A self-organized critical model of rearranging hydrogen-bonded network in ice A self-organized critical model of rearranging hydrogen-bonded network in ice

2010-09-29

arxiv.org/abs/1009.5995v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

A dynamical four-vertex model of rearranging hydrogen-bonded network in ice, with a dynamics similar to the Grotthuss mechanism, is proposed. The model qualitatively explains the unusually high proton-conductivity in ice. It also serves as an interesting example of self-organized criticality with a non-conservative dynamics. The model is solved on a linear chain and its steady state is determined. Using numerical simulations, the model is further studied on a square lattice, and it is observed that it relaxes by three different avalanches, each of which follows a simple finite-size scaling.

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