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We consider the dynamics and kinetic roughening of interfaces embedded in uniformly random media near percolation treshold. In particular, we study simple discrete ``forest fire'' lattice models through Monte Carlo simulations in two and…

Statistical Mechanics · Physics 2009-10-31 M. -P. Kuittu , M. Haataja , N. Provatas , T. Ala-Nissila

We study the interface dynamics of a discrete model to quantitatively describe electrochemical deposition experiments. Extensive numerical simulations indicate that the interface dynamics is unstable at early times, but asymptotically…

Statistical Mechanics · Physics 2016-08-15 Mario Castro , Rodolfo Cuerno , Angel S\anchez , Francisco Domínguez-Adame

We study the pinning-depinning phase transition of interfaces in the quenched Kardar-Parisi-Zhang model as the external driving force $F$ goes towards zero. For a fixed value of the driving force we induce depinning by increasing the…

Condensed Matter · Physics 2009-11-07 JJ Ramasco , JM Lopez , MA Rodriguez

We study effects of turbulent mixing on the random growth of an interface in the problem of the deposition of a substance on a substrate. The growth is modelled by the well-known Kardar--Parisi--Zhang model. The turbulent advecting velocity…

Statistical Mechanics · Physics 2015-11-06 N. V. Antonov , P. I. Kakin

We study the interface representation of the contact process (CP) at its directed-percolation critical point, where the scaling properties of the interface can be related to those of the original particle model. Interestingly, such a…

Statistical Mechanics · Physics 2024-09-30 B. G. Barreales , J. J. Meléndez , R. Cuerno , J. J. Ruiz-Lorenzo

Critical wetting transitions under nonequilibrium conditions are studied numerically and analytically by means of an interface-displacement model defined by a Kardar-Parisi-Zhang equation, plus some extra terms representing a limiting,…

Statistical Mechanics · Physics 2009-11-13 Elvira Romera , Francisco de los Santos , Omar Al Hammal , Miguel A. Munoz

Using extensive Monte Carlo simulations we study the phase diagram of a symmetric binary (AB) polymer blend confined into a thin film as a function of the film thickness D. The monomer-wall interactions are short ranged and antisymmetric,…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder

We have simulated an automaton version of the quenched Kardar-Parisi-Zhang (qKPZ) equation in one and two dimensions in order to study the scaling properties of the interface at the depinning transition. Specifically, the $\alpha$, $\beta$,…

The short-time evolution of a growing interface is studied analytically and numerically for the Kadar-Parisi-Zhang (KPZ) universality class. The scaling behavior of response and correlation functions is reminiscent of the ``initial slip''…

Statistical Mechanics · Physics 2009-10-30 M. Krech

Using stability arguments, this Brief Report suggests that a term that enhances the surface tension in the presence of large height fluctuations should be included in the Kardar-Parisi-Zhang equation. A one-loop renormalization group…

Statistical Mechanics · Physics 2009-10-28 Barbara Drossel

We study the irreversible adsorption of patchy particles on substrates in the limit of advective mass transport. Recent numerical results show that the interface roughening depends strongly on the particle attributes, such as, patch-patch…

Statistical Mechanics · Physics 2015-05-20 N. A. M. Araújo , C. S. Dias , M. M. Telo da Gama

We discuss a one-dimensional model of a fluctuating interface with a dynamic exponent $z=1$. The events that occur are adsorption, which is local, and desorption which is non-local and may take place over regions of the order of the system…

Statistical Mechanics · Physics 2016-08-31 Jan de Gier , Bernard Nienhuis , Paul A. Pearce , Vladimir Rittenberg

Interfaces advancing through random media represent a number of different problems in physics, biology and other disciplines. Here, we study the pinning/depinning transition of the prototypical non-equilibrium interfacial model, i.e. the…

Statistical Mechanics · Physics 2016-08-10 Belén Moglia , Ezequiel V. Albano , Pablo Villegas , Miguel A. Muñoz

The effects of a randomly moving environment on a randomly growing interface are studied by the field theoretic renormalization group analysis. The kinetic growth of an interface (kinetic roughening) is described by the Kardar-Parisi-Zhang…

Statistical Mechanics · Physics 2020-01-28 N. V. Antonov , P. I. Kakin , N. M. Lebedev

Results of experiments on the dynamics and kinetic roughening of one-dimensional slow-combustion fronts in three grades of paper are reported. Extensive averaging of the data allows a detailed analysis of the spatial and temporal…

Statistical Mechanics · Physics 2009-11-07 M. Myllys , J. Maunuksela , M. Alava , T. Ala-Nissila , J. Merikoski , J. Timonen

The Raise and Peel model is a recently proposed one-dimensional statistical model describing a fluctuating interface. The evolution of the model follows from the competition between adsorption and desorption processes. The model is…

Statistical Mechanics · Physics 2009-11-11 Matteo Beccaria , Massimo Campostrini , Alessandra Feo

We simulate competitive two-component growth on a one dimensional substrate of $L$ sites. One component is a Poisson-type deposition that generates Kardar-Parisi-Zhang (KPZ) correlations. The other is random deposition (RD). We derive the…

Materials Science · Physics 2009-02-01 A. Kolakowska , M. A. Novotny , P. S. Verma

The theory of interface localization in near-critical planar systems at phase coexistence is formulated from first principles. We show that mutual delocalization of two interfaces, amounting to interfacial wetting, occurs when the bulk…

Statistical Mechanics · Physics 2016-05-13 Gesualdo Delfino

We investigate the surface adsorption transition of interacting self-avoiding square lattice trails onto a straight boundary line. The character of this adsorption transition depends on the strength of the bulk interaction, which induces a…

Statistical Mechanics · Physics 2019-08-21 N T Rodrigues , T Prellberg , A L Owczarek

An intrinsic feature of nearly all internal interfaces in crystalline systems (homo- and hetero-phase) is the presence of disconnections (topological line defects constrained to the interface that have both step and dislocation character).…

Materials Science · Physics 2023-05-12 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han
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