Flowing Sand—A Possible Physical Realization of Directed Percolation

@article{Hinrichsen2000FlowingSP,
  title={Flowing Sand—A Possible Physical Realization of Directed Percolation},
  author={Haye Hinrichsen and Andrea Jim{\'e}nez-Dalmaroni and Yadin Rozov and Eytan Domany},
  journal={Journal of Statistical Physics},
  year={2000},
  volume={98},
  pages={1149-1168}
}
A simple model for flowing sand on an inclined plane is introduced. The model is related to recent experiments by Douady and Daerr and reproduces some of the experimentally observed features. Avalanches of intermediate size appear to be compact, placing the critical behavior of the model into the universality class of compact directed percolation. On very large scales, however, the avalanches break up into several branches, leading to a crossover from compact to ordinary directed percolation… 
View on Springer
arxiv.org
7 Citations
Background Citations
1

7 Citations

Directed percolation with incubation times.

It is argued that the best approach to find the effective action for directed percolation is through a generalization of the Cardy-Sugar method, adding the non-Markovian features into the geometrical properties of the lattice.

Approximation for directed percolation in d=1+1.

  • C. Sire
  • Mathematics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
It is found that the critical exponent associated with the order parameter (percolation probability) is beta=(1-1/square root[5])/2=0.276 486(8), in remarkable agreement with the best current numerical estimate.

Spreading with immunization in high dimensions

We investigate a model of epidemic spreading with partial immunization which is controlled by two probabilities, namely, for first infections, p0, and for reinfections, p. When the two probabilities…

Spreading with immunization in high dimensions

We investigate a model of epidemic spreading with partial immunization which is controlled by two probabilities, namely, for first infections, p0, and for reinfections, p. When the two probabilities…

Phase transition in a triplet process.

It is argued that the reaction-diffusion process 3A-->4A,3A-->2A exhibits a different type of continuous phase transition from an active into an absorbing phase, characterized by nontrivial fluctuation effects.

A Complete Bibliography of the Journal of Statistical Physics: 2000{2009

(2 + 1) [XTpXpH12, CTH11]. + [Zuc11b]. 0 [Fed17]. 1 [BELP15, CAS11, Cor16, Fed17, GDL10, GBL16, Hau16, JV19, KT12, KM19c, Li19, MN14b, Nak17, Pal11, Pan14, RT14, RBS16b, RY12, SS18c, Sug10, dOP18]. 1…

Evolving Feedforward Neural Network for Harmonics Signature Identification

To improve the ANN's performance, the GA's role was modified to evolve only the initial weights of the ANN while backpropagation training was employed for convergence towards the minima.

References

SHOWING 1-10 OF 18 REFERENCES

Flowing sand: A physical realization of directed percolation.

We introduce and investigate a simple model to describe recent experiments by Douady and Daerr on flowing sand. The model reproduces experimentally observed compact avalanches, whose opening angle…

Emergent Spatial Structures in Critical Sandpiles

We introduce and study a new directed sandpile model with threshold dynamics and stochastic toppling rules. We show that particle conservation law and the directed percolation-like local evolution of…

Two types of avalanche behaviour in granular media

The nature of the transition between static and flowing regimes in granular media, provides a key to understanding their dynamics. When a pile of sand starts flowing, avalanches occur on its inclined…

Collision-induced friction in the motion of a single particle on a bumpy inclined line.

  • DippelBatrouniWolf
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1996
By means of molecular-dynamics simulations, this work investigates the elementary process of avalanches and size segregation by surface flow in two dimensions: a single ball confined to moving along an inclined line consisting of balls and finds that it is very regular and consists of many small bounces on each ball on the line.

Physics of dry granular media

Preface. 1. Static Packings. 2. Deformation of the Packing. 3. Particle-Particle Interactions. 4. Shape of the Granular Heap. 5. Theory of Rapid Flows. 6. Avalanches and Inclined Chutes. 7. Flow in…

Disordered one-dimensional contact process

New theoretical and numerical analysis of the one-dimensional contact process with quenched disorder are presented. We derive new scaling relations, different from their counterparts in the pure…

Temporally Disordered Bond Percolation on the Directed Square Lattice.

  • Jensen
  • Materials Science
    Physical review letters
  • 1996
Analysis of the series revealed that the critical exponent $\ensuremath{\beta}$ and critical point ${p}_{c}$ change continuously with the strength of the disorder.

Reggeon field theory (Schlögl's first model) on a lattice: Monte Carlo calculations of critical behaviour

Self-organized criticality: An explanation of the 1/f noise.

We show that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point. Flicker noise, or 1/f noise, can be identified with the dynamics of the critical…

Hyperscaling in the Domany-Kinzel cellular automaton.

  • DickmanTretyakov
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1995
A hyperscaling relation is derived for such transitions in the Domany-Kinzel stochastic cellular automaton that finds an elementary resolution upon noting that the order parameter is discontinuous at this point.