Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-07-16
Phys. Rev. E (Rapid Comm) 69, 045105(R) (2004)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 3 eps figs, submitted to PRL
Scientific paper
10.1103/PhysRevE.69.045105
The recently proposed Langevin equation, aimed to capture the relevant critical features of stochastic sandpiles, and other self-organizing systems is studied numerically. This equation is similar to the Reggeon field theory, describing generic systems with absorbing states, but it is coupled linearly to a second conserved and static (non-diffusive) field. It has been claimed to represent a new universality class, including different discrete models: the Manna as well as other sandpiles, reaction-diffusion systems, etc. In order to integrate the equation, and surpass the difficulties associated with its singular noise, we follow a numerical technique introduced by Dickman. Our results coincide remarkably well with those of discrete models claimed to belong to this universality class, in one, two, and three dimensions. This provides a strong backing for the Langevin theory of stochastic sandpiles, and to the very existence of this new, yet meagerly understood, universality class.
Munoz Miguel A.
Ramasco Jose J.
Silva Santos Constantino A. da
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