Nonequilibrium phase transitions in a driven sandpile model

Dhar, S. K. ; Pandit, R. ; Ramaswamy, S. (1995) Nonequilibrium phase transitions in a driven sandpile model Journal of Physics A: Mathematical and General, 28 (22). L563-L569. ISSN 0305-4470

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We construct a driven sandpile slope model and study it by numerical simulations in one dimension. The model is specified by a threshold slope σc, a parameter α , governing the local current-slope relation (beyond threshold), and jin, the mean input current of sand. A nonequilibrium phase diagram is obtained in the α -jin 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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