Istituto Nazionale di Fisica della Materia (INFM),
Sezione di Trieste,
International School for Advanced Studies (SISSA/ISAS),
Via Beirut 2-4, 34014 Trieste, Italy
Accepted: 8 July 1996
A temperature-like parameter is introduced in ordinary sandpiles models. A temperature-dependent probability distribution is assigned for the sand toppling on sites of any height. In mean-field theory criticality is obtained for all the values of temperature and no characteristic avalanche size appears. Numerical simulations support the existence of criticality at any temperature with apparently continuously varying critical exponents.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 02.50.-r – Probability theory, stochastic processes, and statistics / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions
© EDP Sciences, 1996