WebJan 4, 2013 · We study the effect of spatial structure, genetic drift, mutation, and selective pressure on the evolutionary dynamics in a simplified model of asexual organisms colonizing a new territory. Under an appropriate coarse-graining, the evolutionary dynamics is related to the directed percolation processes that arise in voter models, the Domany-Kinzel … WebMar 1, 2016 · The paper, which appears on page 245 as part of this month's Focus on Turbulence (see also the News & Views on page 204 ), reports numerical results that establish a clear link between the...
Non-equilibrium critical phenomena and phase transitions into …
WebFeb 15, 2016 · Decades-old speculation that the transition to turbulence belongs to the directed percolation universality class is confirmed with experimental and numerical data for flow through a quasi-one-dimensional Couette geometry. WebDirected percolation (DP) describes a very generic universality class in the absorbing state phase transition. For example, consider population spreading with the birth rate as a … lasten lorut syksy
[2206.07724] Constrained Dynamics and Directed …
In statistical physics, directed percolation (DP) refers to a class of models that mimic filtering of fluids through porous materials along a given direction, due to the effect of gravity. Varying the microscopic connectivity of the pores, these models display a phase transition from a macroscopically permeable … See more One of the simplest realizations of DP is bond directed percolation. This model is a directed variant of ordinary (isotropic) percolation and can be introduced as follows. The figure shows a tilted square lattice with bonds … See more The DP universality class is characterized by a certain set of critical exponents. These exponents depend on the spatial dimension $${\displaystyle d\,}$$. Above the so-called upper … See more In spite of vast success in the theoretical and numerical studies of DP, obtaining convincing experimental evidence has proved challenging. However, in 2007, critical behavior of DP was finally found in the electrohydrodynamic convection of liquid crystal, where … See more Interpreting the preferred direction as a temporal degree of freedom, directed percolation can be regarded as a stochastic process that … See more In two dimensions, the percolation of water through a thin tissue (such as toilet paper) has the same mathematical underpinnings as the flow of electricity through two-dimensional … See more • Percolation threshold • Ziff–Gulari–Barshad model See more Literature • Hinrichsen, Haye (2000). "Non-equilibrium critical phenomena and phase transitions into absorbing states". Advances in … See more WebPerson as author : Pontier, L. In : Methodology of plant eco-physiology: proceedings of the Montpellier Symposium, p. 77-82, illus. Language : French Year of publication : 1965. book part. METHODOLOGY OF PLANT ECO-PHYSIOLOGY Proceedings of the Montpellier Symposium Edited by F. E. ECKARDT MÉTHODOLOGIE DE L'ÉCO- PHYSIOLOGIE … WebFigure 1. A directed percolation cluster of mass s D 22, hull h D 20, length v D 9 and width w D 4. In this paper we study the hull scaling exponents for directed percolation in two … lasten luistelukypärä