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The global phase diagram of wetting in the two-dimensional (2d) Ising model is obtained through exact calculation of the surface excess free energy. Besides a surface field for inducing wetting, a surface-coupling enhancement is included.…

Statistical Mechanics · Physics 2016-02-03 X. T. Wu , D. B. Abraham , J. O. Indekeu

Alternative approach for description of the non-equilibrium phenomena arising in solids at a severe external loading is analyzed. The approach is based on the new form of kinetic equations in terms of the internal and modified free energy.…

Statistical Mechanics · Physics 2014-08-27 L. S. Metlov

We study the nonequilibrium phase transition in a model of aggregation of masses allowing for diffusion, aggregation on contact and fragmentation. The model undergoes a dynamical phase transition in all dimensions. The steady state mass…

Statistical Mechanics · Physics 2015-06-25 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

Recently, considerable progress has been made in understanding finite-size scaling in equilibrium systems. Here, we study finite-size scaling in non-equilibrium systems at the instance of directed percolation (DP), which has become the…

Statistical Mechanics · Physics 2009-11-13 Hans-Karl Janssen , Sven Lubeck , Olaf Stenull

We consider a modification of the contact process incorporating higher-order reaction terms. The original contact process exhibits a non-equilibrium phase transition belonging to the universality class of directed percolation. The…

Statistical Mechanics · Physics 2009-11-11 S. Lubeck

We study the adsorption-desorption of fluid molecules on a solid substrate by introducing a schematic model in which the adsorption/desorption transition probabilities are given by irreversible kinetic constraints with a tunable violation…

Statistical Mechanics · Physics 2019-11-27 Mauro Sellitto

We study the continuum percolation model, which is defined on $\mathbb{Z}^d\times \mathbb{R}$ so that the connections in the continuous directions are not oriented in time, with quasiperiodically disordered fields. The oriented version of…

Probability · Mathematics 2018-09-05 Rajinder Mavi

A simple one-dimensional microscopic model of the depinning transition of an interface from an attractive hard wall is introduced and investigated. Upon varying a control parameter, the critical behaviour observed along the transition line…

Statistical Mechanics · Physics 2009-11-10 F. Ginelli , V. Ahlers , R. Livi , D. Mukamel , A. Pikovsky , A. Politi , A. Torcini

A numerical framework is developed to model contrail formation in the near-field exhaust of aircraft engines, resolving non-equilibrium phase transitions in compressible, multi-component, non-ideal fluid flows. The approach combines…

Fluid Dynamics · Physics 2025-04-30 Katharina Tegethoff , Andrew P. S. Wheeler

We study the percolation properties of force networks in an anisotropic model for granular packings, the so-called q-model. Following the original recipe of Ostojic et al. [Nature 439, 828 (2006)], we consider a percolation process in which…

Statistical Mechanics · Physics 2015-06-03 Romualdo Pastor-Satorras , M. -Carmen Miguel

We study a Langevin equation describing non-equilibrium depinning and wetting transitions. Attention is focused on short-ranged attractive substrate-interface potentials. We confirm the existence of first order depinning transitions, in the…

Condensed Matter · Physics 2009-11-07 F. de los Santos , M. M. Telo da Gama , Miguel A. Munoz

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instance manifest in characteristic power-law behaviours of physical observables. The…

Statistical Mechanics · Physics 2016-06-24 Matteo Marcuzzi , Emanuele Levi , Weibin Li , Juan P. Garrahan , Beatriz Olmos , Igor Lesanovsky

The rate of metastable decay in nonequilibrium systems is expected to display scaling behavior: i.e., the logarithm of the decay rate should scale as a power of the distance to a bifurcation point where the metastable state disappears.…

Statistical Mechanics · Physics 2009-09-29 Oleg Kogan

We consider the equilibrium of liquid droplets sitting on thin elastic sheets that are subject to a boundary tension and/or are clamped at their edge. We use scaling arguments, together with a detailed analysis based on the…

Soft Condensed Matter · Physics 2019-03-20 Benny Davidovitch , Dominic Vella

In all local low-dimensional models, scaling at critical points deviates from mean field behavior -- with one possible exception. This exceptional model with ``ordinary" behavior is an inherently non-equilibrium model studied some time ago…

Statistical Mechanics · Physics 2022-02-16 Peter Grassberger

Conserved growth models that exhibit a nonlinear instability in which the height (depth) of isolated pillars (grooves) grows in time are studied by numerical integration and stochastic simulation. When this instability is controlled by the…

Statistical Mechanics · Physics 2009-11-07 B. Chakrabarti , C. Dasgupta

The localization transition and the critical properties of the Lorentz model in three dimensions are investigated by computer simulations. We give a coherent and quantitative explanation of the dynamics in terms of continuum percolation…

Soft Condensed Matter · Physics 2007-05-23 Felix Höfling , Thomas Franosch , Erwin Frey

The nonequilibrium phase transition in sheared three-dimensional Ising models is investigated using Monte Carlo simulations in two different geometries corresponding to different shear normals. We demonstrate that in the high shear limit…

Statistical Mechanics · Physics 2012-11-01 Alfred Hucht , Sebastian Angst

The directed bond percolation is a paradigmatic model in nonequilibrium statistical physics. It captures essential physical information on the nature of continuous phase transition between active and absorbing states. In this paper, we…

A model for nonequilibrium wetting in 1+1 dimensions is introduced. It comprises adsorption and desorption processes with a dynamics which generically does not obey detailed balance. Depending on the rates of the dynamical processes the…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen , Roberto Livi , David Mukamel , Antonio Politi