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We study a discrete model for generalized exchange-driven growth in which the particle exchanged between two clusters is not limited to be of size one. This set of models include as special cases the usual exchange-driven growth system and…

Classical Analysis and ODEs · Mathematics 2025-09-01 P. K. Barik , F. P. da Costa , J. T. Pinto , R. Sasportes

We propose experimentally feasible ways to probe universal features of absorbing phase transitions from two different approaches, both based on numerical validations. On one hand, we numerically study a probability distribution of…

Statistical Mechanics · Physics 2018-12-20 Keiichi Tamai , Masaki Sano

We study the nonequilibrium phase transitions from the absorbing phase to the active phase for the model of disease spreading (Susceptible-Infected-Refractory-Susceptible (SIRS)) on a regular one dimensional lattice. In this model,…

Statistical Mechanics · Physics 2023-08-15 M. Ali Saif

We consider cumulative merging percolation (CMP), a long-range percolation process describing the iterative merging of clusters in networks, depending on their mass and mutual distance. For a specific class of CMP processes, which…

Statistical Mechanics · Physics 2020-05-07 Claudio Castellano , Romualdo Pastor-Satorras

One possible framework to interpret the irreversibility transition observed in periodically driven colloidal suspensions is that of a non-equilibrium phase transition towards an absorbing reversible state at low amplitude of the driving…

Statistical Mechanics · Physics 2016-03-30 Elsen Tjhung , Ludovic Berthier

In a recent work [A. Deger et al., Phys. Rev. Lett. 129, 160601 (2022)] we have shown that kinetic constraints can completely arrest many-body chaos in the dynamics of a classical, deterministic, translationally-invariant spin system with…

Statistical Mechanics · Physics 2022-11-02 Aydin Deger , Achilleas Lazarides , Sthitadhi Roy

The dynamical percolation transition of two dimensional Axial Next Nearest Neighbour Ising (ANNNI) model to pulsed magnetic field has been studied by finite size scaling analysis (by Monte Carlo simulation) for various values of frustration…

Statistical Mechanics · Physics 2013-03-05 Anjan Kumar Chandra

We investigate the susceptible-infected-susceptible dynamics on configuration model networks. In an effort for the unification of current approaches, we consider a network whose edges are constantly being rearranged, with a tunable rewiring…

Physics and Society · Physics 2017-01-10 Guillaume St-Onge , Jean-Gabriel Young , Edward Laurence , Charles Murphy , Louis J. Dubé

Scaling nature of absorbing critical phenomena is well understood for the directed percolation (DP) and the directed Ising (DI) systems. However, a full analysis of the crossover behavior is still lacking, which is of our interest in this…

Statistical Mechanics · Physics 2009-11-13 Su-Chan Park , Hyunggyu Park

We describe a phase transition in continuum limits of interacting particle systems that exhibits a vertical bifurcation diagram. The transition is mediated by a competition short-range repulsion and long-range attraction. As a consequence…

Dynamical Systems · Mathematics 2025-07-15 Arnd Scheel , Angela Stevens

A novel kind of irreversible phase transitions (IPT's) driven by an oscillatory input parameter is studied by means of computer simulations. Second order IPT's showing scale invariance in relevant dynamic critical properties are found to…

Statistical Mechanics · Physics 2009-10-31 Alfredo C. Lopez , Gustavo P. Saracco , Ezequiel V. Albano

A method to treat a N-component percolation model as effective one component model is presented by introducing a scaled control variable $p_{+}$. In Monte Carlo simulations on $16^{3}$, $32^{3}$, $64^{3}$ and $128^{3}$ simple cubic lattices…

Disordered Systems and Neural Networks · Physics 2009-02-05 H. M. Harreis , W. Bauer

We review the field theory approach to percolation processes. Specifically, we focus on the so-called simple and general epidemic processes that display continuous non-equilibrium active to absorbing state phase transitions whose asymptotic…

Statistical Mechanics · Physics 2009-11-10 Hans-Karl Janssen , Uwe C. Tauber

The contact process with diffusion (PCPD) defined by the binary reactions 2 B -> 3 B, 2 B -> 0 and diffusive particle spreading exhibits an unusual active to absorbing phase transition whose universality class has long been disputed.…

Statistical Mechanics · Physics 2020-10-28 Shengfeng Deng , Wei Li , Uwe C. Täuber

In this article, we discuss the continuous version of the generalized exchange-driven growth model which is a variant of the coagulation model in which a smaller size particle is detached from a bigger one and merges with another particle.…

Analysis of PDEs · Mathematics 2025-09-03 Prasanta K. Barik , Fernando P. da Costa , João T. Pinto , Rafael Sasportes

We present a stochastic dynamics model of coupled evolution for the binary states of nodes and links in a complex network. In the context of opinion formation node states represent two possible opinions and link states a positive or…

Physics and Society · Physics 2018-11-26 Meghdad Saeedian , Maxi San Miguel , Raul Toral

The renowned general epidemic process describes the stochastic evolution of a population of individuals which are either susceptible, infected or dead. A second order phase transition belonging to the universality class of dynamic isotropic…

Statistical Mechanics · Physics 2009-11-10 Hans-Karl Janssen , Martin Mueller , Olaf Stenull

We investigate the origin of the difference, which was noticed by Fey {\it et al.} [Phys. Rev. Lett. {\bf 104}, 145703 (2010)], between the steady state density of an Abelian sandpile model (ASM) and the transition point of its…

Statistical Mechanics · Physics 2018-03-08 Su-Chan Park

The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It…

Statistical Mechanics · Physics 2017-03-29 Ohad Shpielberg , Yaroslav Don , Eric Akkermans

If gradient systems depend on a microstructure, we want to derive a macroscopic gradient structure describing the effective behavior of the microscopic effects. We introduce a notion of evolutionary Gamma-convergence that relates the…

Analysis of PDEs · Mathematics 2018-01-23 Patrick Dondl , Thomas Frenzel , Alexander Mielke
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