[图书][B] Critical phenomena in natural sciences: chaos, fractals, selforganization and disorder: concepts and tools

D Sornette - 2006 - books.google.com
Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

Non-equilibrium critical phenomena and phase transitions into absorbing states

H Hinrichsen - Advances in physics, 2000 - Taylor & Francis
This review addresses recent developments in non-equilibrium statistical physics. Focusing
on phase transitions from fluctuating phases into absorbing states, the universality class of …

Self-organized criticality

DL Turcotte - Reports on progress in physics, 1999 - iopscience.iop.org
The concept of self-organized criticality was introduced to explain the behaviour of the
sandpile model. In this model, particles are randomly dropped onto a square grid of boxes …

Avalanche and spreading exponents in systems with absorbing states

MA Munoz, R Dickman, A Vespignani, S Zapperi - Physical Review E, 1999 - APS
We present generic scaling laws relating spreading critical exponents and avalanche
exponents (in the sense of self-organized criticality) in general systems with absorbing …

How self-organized criticality works: A unified mean-field picture

A Vespignani, S Zapperi - Physical Review E, 1998 - APS
We present a unified dynamical mean-field theory, based on the single site approximation to
the master-equation, for stochastic self-organized critical models. In particular, we analyze in …

A percolation model of innovation in complex technology spaces

G Silverberg, B Verspagen - Journal of Economic Dynamics and Control, 2005 - Elsevier
Innovations are known to arrive more highly clustered than if they were purely random. Their
distribution of importance is highly skewed and appears to obey a power law or lognormal …

Black swans, extreme risks, and the e-pile model of self-organized criticality

AV Milovanov, JJ Rasmussen, B Groslambert - Chaos, Solitons & Fractals, 2021 - Elsevier
A new model of self-organized criticality (SOC) is described which differs from ordinary sand-
pile SOC models in that it uses electrically charged particles of different kinds to propagate …

Creep and thermal rounding close to the elastic depinning threshold

VH Purrello, JL Iguain, AB Kolton, EA Jagla - Physical Review E, 2017 - APS
We study the slow stochastic dynamics near the depinning threshold of an elastic interface
in a random medium by solving a particularly suited model of hopping interacting particles …

Intracellular calcium signals display an avalanche-like behavior over multiple lengthscales

L Lopez, E Piegari, L Sigaut… - Frontiers in Physiology, 2012 - frontiersin.org
Many natural phenomena display “self-organized criticality”(SOC),(Bak et al.,). This refers to
spatially extended systems for which patterns of activity characterized by different …

Algorithmic mapping from criticality to self-organized criticality

F Bagnoli, P Palmerini, R Rechtman - Physical Review E, 1997 - APS
Probabilistic cellular automata are prototypes of nonequilibrium critical phenomena. This
class of models includes among others the directed percolation problem (Domany-Kinzel …