Some Properties of Sandpile Models as Prototype of Self-Organized Critical Systems
arXiv:2009.08160 · doi:10.1088/1402-4896/abfb20
Abstract
This paper is devoted to the recent advances in self-organized criticality (SOC), and the concepts. The paper contains three parts; in the first part we present some examples of SOC systems, in the second part we add some comments concerning its relation to logarithmic conformal field theory, and in the third part we report on the application of SOC concepts to various systems ranging from cumulus clouds to 2D electron gases.
References in corpus (63)
- Avalanche Dynamics in Evolution, Growth, and Depinning Models
- Logarithmic Operators in Conformal Field Theory
- Critical phenomena in atmospheric precipitation
- Dynamics of Earthquake Faults
- SLE for theoretical physicists
- Self-Organized Criticality model for Brain Plasticity
- Power laws and Self-Organized Criticality in Theory and Nature
- A Complexity View of Rainfall
- Tracer Dispersion in a Self-Organized Critical System
- An algebraic approach to logarithmic conformal field theory
- Self-Organized Percolation Model for Stock Market Fluctuations
- Precursors, aftershocks, criticality and self-organized criticality
- Universality in Sandpile Models
- Critical Behaviour of the Drossel-Schwabl Forest Fire Model
- Forest fires and other examples of self-organized criticality
- Universality in sandpiles
- Numerical Determination of the Avalanche Exponents of the Bak-Tang-Wiesenfeld Model
- Avalanche dynamics, surface roughening and self-organized criticality - experiments on a 3 dimensional pile of rice
- Scaling fields in the two-dimensional abelian sandpile model
- Avalanche prediction in Self-organized systems
- Structures in magnetohydrodynamic turbulence: detection and scaling
- Sandpile avalanche dynamics on scale-free networks
- Critical behavior of a one-dimensional fixed-energy stochastic sandpile
- Properties of Foreshocks and Aftershocks of the Non-Conservative SOC Olami-Feder-Christensen Model: Triggered or Critical Earthquakes?
- An exact mapping of the stochastic field theory for Manna sandpiles to interfaces in random media
- On Staggered Indecomposable Virasoro Modules
- Long-Tailed Trapping Times and Levy Flights in a Self-Organized Critical Granular System
- Geometrical vs. Fortuin-Kasteleyn Clusters in the Two-Dimensional -State Potts Model
- Predictability of Self-Organizing Systems
- Rationality, quasirationality and finite W-algebras
- Watersheds are Schramm-Loewner Evolution curves
- Self-organized criticality in a rice-pile model
- Sandpiles on multiplex networks
- Universality Classes in Isotropic, Abelian and non-Abelian, Sandpile Models
- Large scale simulations of the Zhang sandpile model
- Coherent-state path integral versus coarse-grained effective stochastic equation of motion: From reaction diffusion to stochastic sandpiles
- Self-Organized Criticality and Stock Market Dynamics: an Empirical Study
- The Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension
- Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and pfaffians
- Universality classes in directed sandpile models
- Avalanche exponents and corrections to scaling for a stochastic sandpile
- Avalanche frontiers in dissipative abelian sandpile model as off-critical SLE(2)
- Data-Driven Prediction of Thresholded Time Series of Rainfall and SOC models
- Logarithmic Conformal Field Theory Through Nilpotent Conformal Dimensions
- Observation of SLE on the Critical Statistical Models
- Controlling self-organized criticality in complex networks
- Sandpiles and absorbing-state phase transitions: recent results and open problems
- Energy avalanches in a rice-pile model
- Use of Nilpotent weights in Logarithmic Conformal Field Theories
- Depinning transition of charge-density waves: mapping onto symmetric theory with and loop-erased random walks
- Expansion and Contraction of Avalanches in 2D Abelian Sandpile
- Field theory conjecture for loop-erased random walks
- Geometry-induced non-equilibrium phase transition in sandpiles
- Self-organized random walks and stochastic sandpile: From linear to branched avalanches
- Sandpile model on an optimized scale-free network on Euclidean space
- Self-organized criticality in cumulus clouds
- Statistical Investigation of Avalanches of Three Dimensional Small-World Networks and their Boundary and Bulk Cross-Sections
- Sandpile on uncorrelated site-diluted percolation lattice; From three to two dimensions
- Self-organized criticality in the Kardar-Parisi-Zhang-equation
- Fillips in Sandpiles; Spanning Avalanches, Bifurcation and Temporal oscillations
- Invasion Sandpile Model
- Some Aspects of c=-2 Theory
- Sandpile model on Scale Free Networks with preferential sand distribution: a new universality class