Reaction-diffusion system with self-organized critical behavior
نویسندگان
چکیده
منابع مشابه
Reaction-diffusion system with self-organized critical behavior
We describe the construction of a conserved reaction-diffusion system that exhibits self-organized critical (avalanche-like) behavior under the action of a slow addition of particles. The model provides an illustration of the general mechanism to generate self-organized criticality in conserving systems. Extensive simulations in d = 2 and 3 reveal critical exponents compatible with the universa...
متن کاملSelf-organized pacemakers in a coupled reaction-diffusion-mechanics system.
Using a computational model of a coupled reaction-diffusion-mechanics system, we find that mechanical deformation can induce automatic pacemaking activity. Pacemaking is shown to occur after a single electrical or mechanical stimulus in an otherwise nonoscillatory medium. We study the mechanisms underpinning this effect and conditions for its existence. We show that self-organized pacemakers dr...
متن کاملSelf-organized critical behavior in Ising spin glasses
We have studied numerically the states reached in a quench from various temperatures in the onedimensional fully-connected Kotliar, Anderson and Stein Ising spin glass model. This is a model where there are long-range interactions between the spins which falls off as a power σ of their separation. We have made a detailed study in particular of the energies of the states reached in a quench from...
متن کاملSelf-Organized Feature Extraction in a Three-Dimensional Discrete Reaction-Diffusion System
We investigated self-organized patterns formed by a FitzHugh–Nagumo model in three-dimensional space. We found functional orders in the model. The edge plane structure was autonomously extracted from an initial cubic pattern. As in a two-dimensional model, the edge points and edge lines developed spontaneously in this model. These edge structures were obtained when parameters were in a specific...
متن کاملA Self-Organized Critical Universe
A model of the universe as a self-organized critical system is considered. The universe evolves to a state independently of the initial conditions at the edge of chaos. The critical state is an attractor of the dynamics. Random metric fluctuations exhibit noise without any characteristic length scales, and the power spectrum for the fluctuations has a self-similar fractal behavior. In the early...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2001
ISSN: 1434-6028
DOI: 10.1007/pl00011091