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Field theory of absorbing phase transitions with a non-diffusive conserved field

Romualdo Pastor-Satorras·Alessandro Vespignani
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Abstract

We investigate the critical behavior of a reaction-diffusion system exhibiting a continuous absorbing-state phase transition. The reaction-diffusion system strictly conserves the total density of particles, represented as a non-diffusive conserved field, and allows an infinite number of absorbing configurations. Numerical results show that it belongs to a wide universality class that also includes stochastic sandpile models. We derive microscopically the field theory representing this universality class.

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Romualdo Pastor-Satorras, Alessandro Vespignani. 2000-06-23. Field theory of absorbing phase transitions with a non-diffusive conserved field. https://doi.org/10.1103/physreve.62.r5875

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