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We study the random pinning model, in the case of a Gaussian environment presenting power-law decaying correlations, of exponent decay a>0. We comment on the annealed (i.e. averaged over disorder) model, which is far from being trivial, and…

Mathematical Physics · Physics 2013-11-07 Quentin Berger

We study the effect of monomer immobilization (quenching) on the orientation of the lamellae in symmetric diblock copolymer thin films with neutrally wetting surfaces. A small fraction of the monomers immediately next to the solid substrate…

Condensed Matter · Physics 2009-10-30 Wilfred H. Tang , Thomas A. Witten

The entanglement properties of quenched quantum systems have been studied for a decade, however results in dimensions other than $d=1$ are generally lacking. We remedy this by investigating the entanglement properties of bosonic critical…

Quantum Gases · Physics 2016-07-27 Yonah Lemonik , Aditi Mitra

We report a numerical study of the bond-diluted 2-dimensional Potts model using transfer matrix calculations. For different numbers of states per spin, we show that the critical exponents at the random fixed point are the same as in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Christophe Chatelain , Bertrand Berche , Lev N. Shchur

We study spin density wave quantum critical points in two dimensional metals with a quenched disorder potential coupling to the electron density. Adopting an $\epsilon$-expansion around three spatial dimensions, where both disorder and the…

Strongly Correlated Electrons · Physics 2021-06-30 Johannes Halbinger , Matthias Punk

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

We investigate the effect of quenched surface disorder on effective interactions between two planar surfaces immersed in fluids which are near criticality and belong to the Ising bulk universality class. We consider the case that, in the…

Statistical Mechanics · Physics 2017-12-06 A. Maciolek , O. Vasilyev , V. Dotsenko , S. Dietrich

The aim of the paper is to address the behavior in large population of diffusions interacting on a random, possibly diluted and inhomogeneous graph. This is the natural continuation of a previous work, where the homogeneous Erd\H os-R\'enyi…

Probability · Mathematics 2019-04-01 Eric Luçon

In this paper we study a two-dimensional directed self-avoiding walk model of a random copolymer in a random emulsion. The copolymer is a random concatenation of monomers of two types, $A$ and $B$, each occurring with density 1/2. The…

Probability · Mathematics 2009-11-13 Frank den Hollander , Nicolas Pétrélis

We investigate numerically, using the bond-fluctuation model, the adsorption of many random AB--copolymers with excluded volume interactions at the interface between two solvents. We find two regimes, controlled by the total number of…

Soft Condensed Matter · Physics 2007-05-23 Gongwen Peng , Jens-Uwe Sommer , Alexander Blumen

We study the directed polymer model in a bounded environment with bond disorder and show that, in the interior of the weak disorder phase, weak disorder continues to hold upon perturbation by a small bias. Using this stability result, we…

Probability · Mathematics 2023-07-11 Stefan Junk

We investigate bipartite entanglement in random quantum $XY$ models at equilibrium. Depending on the intrinsic time scales associated with equilibration of the random parameters and measurements associated with observation of the system, we…

Quantum Physics · Physics 2020-01-03 Anindita Bera , Debasis Sadhukhan , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

A field-theoretic description of the critical behaviour of systems with quenched defects obeying a power law correlations $\sim |{\bf x}|^{-a}$ for large separations ${\bf x}$ is given. Directly for three-dimensional systems and different…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. V. Prudnikov , A. A. Fedorenko

Recent results have lead to substantial progress in understanding the role of disorder in the (de)localization transition of polymer pinning models. Notably, there is an understanding of the crucial issue of disorder relevance and…

Probability · Mathematics 2009-09-24 Giambattista Giacomin , Fabio Lucio Toninelli

When two macromolecules come very near in a fluid, the surrounding molecules, having finite volume, are less likely to get in between. This leads to a pressure difference manifesting as an entropic attraction, called depletion force. Here…

Soft Condensed Matter · Physics 2020-02-26 Nathaniel Rupprecht , Dervis Can Vural

We investigate the effects of quenched randomness on the universal properties of a two-temperature lattice gas. The disorder modifies the dynamical transition rates of the system in an anisotropic fashion, giving rise to a new fixed point.…

Statistical Mechanics · Physics 2009-10-28 B. Schmittmann , C. A. Laberge

We consider a model for a polymer chain interacting with a sequence of equispaced flat interfaces through a pinning potential. The intensity $\delta \in \mathbb {R}$ of the pinning interaction is constant, while the interface spacing…

Probability · Mathematics 2009-10-26 Francesco Caravenna , Nicolas Pétrélis

Chain-like macromolecules (polymers) show characteristic adsorption properties due to their flexibility and internal degrees of freedom, when attracted to surfaces and interfaces. In this review we discuss concepts and features that are…

Soft Condensed Matter · Physics 2009-11-07 Roland Netz , David Andelman

We study the critical bosonic O(N) vector model with quenched random mass disorder in the large N limit. Due to the replicated action which is sometimes not bounded from below, we avoid the replica trick and adopt a traditional approach to…

Strongly Correlated Electrons · Physics 2023-03-22 Han Ma

The scaling properties of self-avoiding tethered membranes at the tricritical point (theta-point) are studied by perturbative renormalization group methods. To treat the 3-body repulsive interaction (known to be relevant for polymers), new…

Condensed Matter · Physics 2009-10-28 K. J. Wiese , F. David