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Related papers: Pinning and wetting transition for (1+1)-dimension…

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An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and…

Nuclear Theory · Physics 2018-02-16 Stefan Typel , David Blaschke

We consider the hierarchical disordered pinning model studied in [9], which exhibits a localization/delocalization phase transition. In the case where the disorder is i.i.d. (independent and identically distributed), the question of…

Probability · Mathematics 2011-10-27 Quentin Berger , Fabio Toninelli

We apply the Wang-Landau method to the study of the critical behaviour of the three dimensional Random Field Ising Model with a bimodal probability distribution. Our results show that for high values of the random field intensity the…

Statistical Mechanics · Physics 2009-11-13 Laura Hernandez , Horacio Ceva

We discuss the effect of an external electric field on the wetting of a solid surface by liquid. To this end, we use a model of the two-level-atom fluid for which the changes in interatomic interactions due to the presence of the field can…

Soft Condensed Matter · Physics 2017-02-20 Vasyl Myhal , Oleg Derzhko

We study the pinning phase transition for discrete surface dynamics in random environments. A renormalization procedure is devised to prove that the interface moves with positive velocity under a finite size condition. This condition is…

Probability · Mathematics 2019-12-06 Thierry Bodineau , Augusto Teixeira

The dynamics of a driven interface in a medium with random pinning forces is analyzed. The interface undergoes a depinning transition where the order parameter is the interface velocity $v$, which increases as $v \sim (F-F_c)^\theta$ for…

Condensed Matter · Physics 2009-10-28 Heiko Leschhorn , Thomas Nattermann , Semjon Stepanow , Lei-Han Tang

We study the effect of long-range elastic interactions in the dynamical behavior of an elastic chain driven quasi-statically in a quenched random pinning potential and in the strong pinning limit. This is a generic situation occuring in…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Tanguy , M. Gounelle , S. Roux

We consider the Solid-On-Solid model interacting with a wall, which is the statistical mechanics model associated with the integer-valued field $(\phi(x))_{x\in \mathbb Z^2}$, and the energy functional $$V(\phi)=\beta \sum_{x\sim…

Mathematical Physics · Physics 2017-12-19 Hubert Lacoin

We utilize Langevin molecular dynamics simulations to study dynamical critical behavior of magnetic flux lines near the depinning transition in type-II superconductors subject to randomly distributed attractive point defects. We employ a…

Statistical Mechanics · Physics 2020-01-29 Harshwardhan Chaturvedi , Ulrich Dobramysl , Michel Pleimling , Uwe C. Täuber

The review is devoted to the theory of collective and it local pinning effects in various disordered non-linear driven systems. Although the emphasis is put on charge and spin density waves and magnetic domain walls, the theory has also…

Statistical Mechanics · Physics 2009-11-10 Serguei Brazovskii , Thomas Nattermann

Type II superconductors exhibit a fascinating phenomenology that is determined by the dynamical properties of the vortex matter hosted by the material. A crucial element in this phenomenology is vortex pinning by material defects, e.g.,…

Superconductivity · Physics 2020-11-25 Martin Buchacek , Vadim B. Geshkenbein , Gianni Blatter

The Edwards-Wilkinson (EW) growth of $1+1$ interface is considered in the background of the correlated random noise. We use random Coulomb potential as the background long-range correlated noise. A depinning transition is observed in a…

Statistical Mechanics · Physics 2021-05-20 N. Valizadeh , M. Samadpour , H. Hamzehpour , M. N. Najafi

We consider the Random Walk Pinning Model studied in [3,2]: this is a random walk X on Z^d, whose law is modified by the exponential of \beta times L_N(X,Y), the collision local time up to time N with the (quenched) trajectory Y of another…

Probability · Mathematics 2010-07-22 Q. Berger , F. Toninelli

We consider a statistical mechanics model for biopolymers. Sophisticated polymer chains, such as DNA, have stiffness when they stretch chains. The Laplacian interaction is used to describe the stiffness. Also, the surface between two media…

Probability · Mathematics 2014-08-05 Chien-Hao Huang

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

A one dimensional stochastic exclusion process with two species of particles, $+$ and $-$, is studied where density of each species can fluctuate but the total particle density is conserved. From the exact stationary state weights we show…

Statistical Mechanics · Physics 2017-01-10 Urna Basu

Despite about forty years of investigations, the nature of the melting transition in two dimensions is not completely clear. In the framework of the most popular Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young (BKTHNY) theory, 2D…

Soft Condensed Matter · Physics 2017-10-11 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

We introduce the pinning model on a quenched renewal, which is an instance of a (strongly correlated) disordered pinning model. The potential takes value 1 at the renewal times of a quenched realization of a renewal process $\sigma$, and…

Probability · Mathematics 2017-04-28 Kenneth S. Alexander , Quentin Berger

Understanding the critical condition and mechanism of the droplet wetting transition between Cassie-Baxter state and Wenzel state triggered by an external electric field is of considerable importance because of its numerous applications in…

Soft Condensed Matter · Physics 2021-09-29 Ke Xiao , Xi Chen , Chen-Xu Wu

In deposition with a poisoning species, we show that the transition to a blocked or pinned phase may be viewed as an absorbing transition in the directed percolation (DP) class. We consider a ballistic-like deposition model with an active…

Statistical Mechanics · Physics 2009-11-07 F. D. A. Aarão Reis