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Full-Text Articles in Physics
Field Theory Of Absorbing Phase Transitions With A Nondiffusive Conserved Field, R Pastor-Satorras, A Vespignani
Field Theory Of Absorbing Phase Transitions With A Nondiffusive Conserved Field, R Pastor-Satorras, A Vespignani
Alessandro Vespignani
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 nondiffusive 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.
Critical Behavior Of A One-Dimensional Fixed-Energy Stochastic Sandpile, R Dickman, M Alava, M A. Munoz, J Peltola, A Vespignani, S Zapperi
Critical Behavior Of A One-Dimensional Fixed-Energy Stochastic Sandpile, R Dickman, M Alava, M A. Munoz, J Peltola, A Vespignani, S Zapperi
Alessandro Vespignani
We study a one-dimensional fixed-energy version (that is, with no input or loss of particles) of Manna's stochastic sandpile model. The system has a continuous transition to an absorbing state at a critical value of the particle density, and exhibits the hallmarks of an absorbing-state phase transition, including finite-size scaling. Critical exponents are obtained from extensive simulations, which treat stationary and transient properties, and an associated interface representation. These exponents characterize the universality class of an absorbing-state phase transition with a static conserved density in one dimension; they differ from those expected at a linear-interface depinning transition in a medium …
Driving, Conservation, And Absorbing States In Sandpiles, A Vespignani, R Dickman, M A. Munoz, S Zapperi
Driving, Conservation, And Absorbing States In Sandpiles, A Vespignani, R Dickman, M A. Munoz, S Zapperi
Alessandro Vespignani
We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding fixed-energy model. The latter displays an absorbing-state phase transition with upper critical dimension d(c) = 4. We show that the driven model exhibits a fundamentally different approach to the critical point, and compute a subset of critical exponents. We present numerical simulations in support of our theoretical predictions.