Nonequilibrium wetting of finite samples

Kissinger, Thomas; Kotowicz, Andreas; Kurz, Oliver; Ginelli, Francesco; Hinrichsen, Haye

doi:10.1088/1742-5468/2005/06/p06002

Cited by 17 publications

(46 citation statements)

References 38 publications

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“…(6) with g(n) ∝ √ n. It should be remarked that the exponents recently reported in Ref. [50], for a suitable lattice model reproducing KPZ-type interface growth, are slightly larger than ours, while the θ-value (namely, θ = 7/6 = 1.1666) conjectured by Droz and Lipowski [20] is, within the error bars, consistent with our estimation.…”

Section: Short-range Interactionssupporting

confidence: 92%

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Chaotic synchronizations of spatially extended systems as nonequilibrium phase transitions

Cencini

Tessone

Torcini

2008

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Two replicas of spatially extended chaotic systems synchronize to a common spatio-temporal chaotic state when coupled above a critical strength. As a prototype of each single spatio-temporal chaotic system a lattice of maps interacting via power-law coupling is considered. The synchronization transition is studied as a non-equilibrium phase transition, and its critical properties are analyzed at varying the spatial interaction range as well as the nonlinearity of the dynamical units composing each system. In particular, continuous and discontinuous local maps are considered. In both cases the transitions are of the second order with critical indexes varying with the exponent characterizing the interaction range. For discontinuous maps it is numerically shown that the transition belongs to the anomalous directed percolation (ADP) family of universality classes, previously identified for Lévy-flight spreading of epidemic processes. For continuous maps, the critical exponents are different from those characterizing ADP, but apart from the nearest-neighbor case, the identification of the corresponding universality classes remains an open problem. Finally, to test the influence of deterministic correlations for the studied synchronization transitions, the chaotic dynamical evolutions are substituted by suitable stochastic models. In this framework and for the discontinuous case, it is possible to derive an effective Langevin description that corresponds to that proposed for ADP.

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Section: Short-range Interactionssupporting

confidence: 92%

“…lower) region corresponds to the best estimate of θ (resp. β) reported in literature [5,20,50] for the MN class in the case of short range interactions. The thick upper (resp.…”

Section: B Continuous Mapsmentioning

confidence: 99%

Chaotic synchronizations of spatially extended systems as nonequilibrium phase transitions

Cencini

Tessone

Torcini

2008

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…The long-range contact process investigated here is motivated by recent studies of depinning transitions in non-equilibrium wetting processes [7,8,9,10,11], where one considers a fluctuating interface next to a hard-core wall. Regarding the pinned domains of the interface as active sites and unpinned domains as inactive ones, the dynamics of the fluctuating interface may be projected onto that of a contact process (see Fig.…”

Section: Introductionmentioning

confidence: 99%

Contact processes with long range interactions

Ginelli¹,

Hinrichsen²,

Livi³

et al. 2006

J. Stat. Mech.

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A class of non-local contact processes is introduced and studied using mean-field approximation and numerical simulations. In these processes particles are created at a rate which decays algebraically with the distance from the nearest particle.It is found that the transition into the absorbing state is continuous and is characterized by continuously varying critical exponents. This model differs from the previously studied non-local directed percolation model, where particles are created by unrestricted Levy flights. It is motivated by recent studies of non-equilibrium wetting indicating that this type of non-local processes play a role in the unbinding transition. Other non-local processes which have been suggested to exist within the context of wetting are considered as well.

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“…If the wall velocity is equal to v(L) we are at the critical point (of a finite system). We will consider the cases s = 1 and s = 0, which correspond to the bKPZ-and bKPZ+ universality classes, respectively [21]. All the critical exponents defined for the RSOS model are defined in the same way for the SS model, where the distances from criticality are given by ∆ = |v W − v(∞)| and∆ = |v W − v(L)|.…”

Section: Models Definition and Their Critical Behaviormentioning

confidence: 99%

Finite size effects in nonequilibrium wetting

Barato¹

2011

J. Stat. Mech.

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Abstract. Models with a nonequilibrium wetting transition display a transition also in finite systems. This is different from nonequilibrium phase transitions into an absorbing state, where the stationary state is the absorbing one for any value of the control parameter in a finite system. In this paper, we study what kind of transition takes place in finite systems of nonequilibrium wetting models. By solving exactly a microscopic model with three and four sites and performing numerical simulations we show that the phase transition taking place in a finite system is characterized by the average interface height performing a random walk at criticality and does not discriminate between the bounded-KPZ classes and the bounded-EW class. We also study the finite size scaling of the bKPZ universality classes, showing that it presents peculiar features in comparison with other universality classes of nonequilibrium phase transitions.

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Nonequilibrium wetting of finite samples

Cited by 17 publications

References 38 publications

Chaotic synchronizations of spatially extended systems as nonequilibrium phase transitions

Chaotic synchronizations of spatially extended systems as nonequilibrium phase transitions

Contact processes with long range interactions

Finite size effects in nonequilibrium wetting

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