Random field disorder at an absorbing state transition in one and two dimensions

Barghathi, Hatem; Vojta, Thomas

doi:10.1103/physreve.93.022120

Cited by 7 publications

(3 citation statements)

References 58 publications

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“…As a result, we have clearly observed the critical relaxation not only on the irreversible side but also on the reversible side of the transition, and obtained the critical exponent with reduced error bars. The thus obtained is, within error bars, in agreement with the critical exponent expected for the absorbing phase transition 37–41 in the directed-percolation (DP) universality class in 2D 42,43 .…”

Section: Introductionsupporting

confidence: 86%

Critical behavior near the reversible-irreversible transition in periodically driven vortices under random local shear

Maegochi

Ienaga

Kaneko

et al. 2019

Sci Rep

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When many-particle (vortex) assemblies with disordered distribution are subjected to a periodic shear with a small amplitude , the particles gradually self-organize to avoid next collisions and transform into an organized configuration. We can detect it from the time-dependent voltage (average velocity) that increases towards a steady-state value. For small , the particles settle into a reversible state where all the particles return to their initial position after each shear cycle, while they reach an irreversible state for above a threshold . Here, we investigate the general phenomenon of a reversible-irreversible transition (RIT) using periodically driven vortices in a strip-shaped amorphous film with random pinning that causes local shear, as a function of . By measuring , we observe a critical behavior of RIT, not only on the irreversible side, but also on the reversible side of the transition, which is the first under random local shear. The relaxation time to reach either the reversible or irreversible state shows a power-law divergence at . The critical exponent is determined with higher accuracy and is, within errors, in agreement with the value expected for an absorbing phase transition in the two-dimensional directed-percolation universality class. As is decreased down to the intervortex spacing in the reversible regime, deviates downward from the power-law relation, reflecting the suppression of intervortex collisions. We also suggest the possibility of a narrow smectic-flow regime, which is predicted to intervene between fully reversible and irreversible flow.

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Section: Introductionsupporting

confidence: 86%

Critical behavior near the reversible-irreversible transition in periodically driven vortices under random local shear

Maegochi

Ienaga

Kaneko

et al. 2019

Sci Rep

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show abstract

“…As in magnetic systems, one can expect that disorder can induce or suppress a phase transition, as was also observed in the kinetic exchange opinion model in the presence of inflexibles [29]. However, the presence of disorder in models with absorbing states does not lead to the destruction of active-absorbing phase transitions, at least in low-dimensional systems [62,63]. At mean-field level, to the best of our knowledge, the suppression of nonequilibrium phase transitions to absorbing states had not been previously observed.…”

Section: Presence Of R I Inflexible Individualsmentioning

confidence: 70%

Role of inflexible minorities in the evolution of alcohol consumption

Crokidakis¹,

Sigaud²

2022

J. Stat. Mech.

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In this work we study a simple contagion model for drinking behavior evolution, but including the presence of inflexible or zealot agents, i.e. individuals that never change their behavior (never drink or always drink a lot). We analyze the impact of such special agents in the evolution of drinking behavior in the population. Our analytical and numerical results indicate that the presence of only one class of inflexible agents destroys one of the two possible absorbing phases that are observed in the model without such inflexibles. In the presence of the both kinds of inflexible agents simultaneously, there are no absorbing states anymore. Since absorbing states are collective macroscopic states with the presence of only one kind of individuals in the population, we argue that the inclusion of inflexible agents in the population makes the model more realistic. Furthermore, the presence of inflexible agents are similar to the introduction of quenched disorder in the model, and here we observe the suppression of a nonequilibrium phase transition to absorbing states, which had not been reported before.

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“…As in magnetic systems, one can expect that disorder can induce or suppress a phase transition, as was also observed in the kinetic exchange opinion model in the presence of inflexibles [29]. However, the presence of disorder in models with absorbing states does not lead to the destruction of active-absorbing phase transitions, at least in low-dimensional systems [59,60]. At mean-field level, to the best of our knowledge, the suppression of nonequilibrium phase transitions to absorbing states had not been previously observed.…”

Section: Presence Of R I Inflexible Individualsmentioning

confidence: 70%

Role of inflexible minorities in the evolution of alcohol consumption

Crokidakis,

Sigaud

2022

Preprint

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In this work we study a simple mathematical model for drinking behavior evolution. For this purpose, we considered three compartments, namely Susceptible individuals S (nonconsumers), Moderated drinkers M and Risk drinkers R. Inside the S and R compartments, we considered the presence of inflexible or zealot agents, i.e., individuals that never change their behavior (never drink or always drink a lot). These inflexible agents are described by fixed densities s I and r I , for nonconsumer inflexible and risk drinking inflexible individuals, respectively. We analyze the impact of the presence of such special agents in the evolution of drinking behavior in the population. Specifically, since the presence of inflexible agents are similar to the introduction of quenched disorder in the model, we are interested in the impact of such disorder in the critical behavior of the system. Our analytical and numerical results indicate that the presence of only one class of inflexible agents, s I or r I , destroys one of the two possible absorbing phases that are observed in the model without such inflexibles, i.e., for s i = r I = 0. In the presence of the both kinds of inflexible agents simultaneously, there are no absorbing states anymore. Since absorbing states are collective macroscopic states with the presence of only one kind of individuals in the population, nonconsumers or risk drinkers, we argue that the inclusion of inflexible agents in the population makes the model more realistic. In addition, the work makes a contribution to studies on the impact of quenched disorder in nonequilibrium phase transitions, that are a subject of interest for Nonequilibrium Statistical Physics.

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Random field disorder at an absorbing state transition in one and two dimensions

Cited by 7 publications

References 58 publications

Critical behavior near the reversible-irreversible transition in periodically driven vortices under random local shear

Critical behavior near the reversible-irreversible transition in periodically driven vortices under random local shear

Role of inflexible minorities in the evolution of alcohol consumption

Role of inflexible minorities in the evolution of alcohol consumption

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