Cusps, self-organization, and absorbing states
نویسندگان
چکیده
منابع مشابه
Boundary-induced heterogeneous absorbing states
We study two different types of systems with many absorbing states (with and without a conservation law) and scrutinize the effect of walls/boundaries (either absorbing or reflecting) into them. In some cases, non-trivial structured absorbing configurations (characterized by a background field) develop around the wall. We study such structures using a mean-field approach as well as computer sim...
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An E0-semigroup α = {αt : t ≥ 0} acting on B(H) is called pure if its tail von Neumann algebra is trivial in the sense that ∩tαt(B(H)) = C1. We determine all pure E0-semigroups which have a weakly continuous invariant state ω and which are minimal in an appropriate sense. In such cases the dynamics of the state space must stabilize as follows: for every normal state ρ of B(H) there is convergen...
متن کاملDriving, conservation and absorbing states in sandpiles
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 dc = 4. We show that the driven model exhibits a fundamentall...
متن کاملSelf-organized criticality and absorbing states: lessons from the Ising model.
We investigate a suggested path to self-organized criticality. Originally, this path was devised to "generate criticality" in systems displaying an absorbing-state phase transition, but nothing in its definition forbids the mechanism to be used in any other continuous phase transition. We used the Ising model as well as the Manna model to demonstrate how the finite-size scaling exponents depend...
متن کاملComment on "self-organized criticality and absorbing states: lessons from the Ising model".
According to Pruessner and Peters [G. Pruessner and O. Peters, Phys. Rev. E 73, 025106(R) (2006)], the finite-size scaling exponents of the order parameter in sandpile models depend on the tuning of driving and dissipation rates with system size. We point out that the same is not true for avalanches in the slow driving limit.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2009
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.79.050106