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Nonequilibrium Phase Transitions in a Driven Sandpile Model

Sujan K. Dhar·Rahul Pandit·Sriram Ramaswamy
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Abstract

We construct a driven sandpile slope model and study it by numerical simulations in one dimension. The model is specified by a threshold slope $σ_c\/$, a parameter $α\/$, governing the local current-slope relation (beyond threshold), and $j_{\rm in}$, the mean input current of sand. A nonequilibrium phase diagram is obtained in the $α\, -\, j_{\rm in}\/$ plane. We find an infinity of phases, characterized by different mean slopes and separated by continuous or first-order boundaries, some of which we obtain analytically. Extensions to two dimensions are discussed.

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Sujan K. Dhar, Rahul Pandit, Sriram Ramaswamy. 1994-11-24. Nonequilibrium Phase Transitions in a Driven Sandpile Model. https://doi.org/10.1088/0305-4470%2F28%2F22%2F001

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