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In quenched disordered systems, the existence of ordering is generally believed to be only possible in the weak disorder regime (disregarding models of spin-glass type). In particular, sufficiently large random fields is expected to…

Mathematical Physics · Physics 2025-04-17 Andrew C. Yuan , Nick Crawford

A growth model which describes the deposition of particles (or the growth of a rigid crystal) on a disordered substrate is investigated. The dynamic renormalization group is applied to the stochastic growth equation using the Martin, Sigga,…

Condensed Matter · Physics 2009-10-22 Yan-Chr Tsai , Yonathan Shapir

We address issues related to the presence of defects at finite-temperature topological transitions, in particular when defects are modeled in terms of further variables associated with a quenched disorder, corresponding to the limit in…

Disordered Systems and Neural Networks · Physics 2026-04-20 Claudio Bonati , Ettore Vicari

The random-bond Ising model on the square lattice has several disordered critical points, depending on the probability distribution of the bonds. There are a finite-temperature multicritical point, called Nishimori point, and a…

Statistical Mechanics · Physics 2007-05-23 Marco Picco , Andreas Honecker , Pierre Pujol

In this work we propose an extension to the analytical one-dimensional model proposed by E. Gnecco (Phys. Rev. Lett. 84:1172) to describe friction. Our model includes normal forces and the dependence with the angular direction of movement…

Computational Physics · Physics 2007-12-04 R. A. Dias , P. Z. Coura , M. Rapini , B. V. Costa

We study the steady-state low-temperature dynamics of an elastic line in a disordered medium below the depinning threshold. Analogously to the equilibrium dynamics, in the limit T->0, the steady state is dominated by a single configuration…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Thierry Giamarchi , Werner Krauth

The diversity of vortex melting and solid-solid transition lines measured in different high-T$_{c}$ superconductors is explained, postulating a unified order-disorder phase transition driven by both thermally- and disorder-induced…

Superconductivity · Physics 2016-08-31 Y. Radzyner , A. Shaulov , Y. Yeshurun

We consider an open quantum system in contact with fermionic metallic reservoirs in a nonequilibrium setup. For the case of spin, orbital or potential fluctuations, we present a systematic formulation of real-time renormalization group at…

Mesoscale and Nanoscale Physics · Physics 2014-09-19 Frank Reininghaus , Mikhail Pletyukhov , Herbert Schoeller

We present a theory for disordered interacting electrons that can describe both the Mott and the Anderson transition in the respective limits of zero disorder and zero interaction. We use it to investigate the T=0 Mott-Anderson transition…

Strongly Correlated Electrons · Physics 2009-10-28 V. Dobrosavljevic , G. Kotliar

Electronic quantum effects in disordered conductors are controlled by the dephasing rate of conduction electrons. This rate is expected to vanish with the temperature. We consider the very intriguing recently reported apparent saturation of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yoseph Imry , Hidetoshi Fukuyama , Peter Schwab

The effect of quenched disorder on non-equilibrium phase transitions in the directed percolation universality class is studied by a strong disorder renormalization group approach and by density matrix renormalization group calculations. We…

Statistical Mechanics · Physics 2009-11-07 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

We focus on the localized phase of pinning models with i.i.d. site disorder on which we assume only that the moment generating function is bounded in a neighborhood of the origin. We develop quantitative correlation functions estimates for…

Probability · Mathematics 2025-04-07 Giambattista Giacomin , Marco Zamparo

The orientational ordering transition is investigated in the quantum generalization of the anisotropic-planar-rotor model in the low temperature regime. The phase diagram of the model is first analyzed within the mean-field approximation.…

Condensed Matter · Physics 2009-10-28 R. Martonak , D. Marx , P. Nielaba

We give a sufficient condition under which an applied rotation on medium particles stabilizes a slow probe in the rotation center. The symmetric part of the stiffness matrix thus gets a positive Lamb shift with respect to equilibrium. For…

Statistical Mechanics · Physics 2016-09-15 Urna Basu , Pierre de Buyl , Christian Maes , Karel Netočný

The phase transition in the q-state Potts model with homogeneous ferromagnetic couplings is strongly first order for large q, while is rounded in the presence of quenched disorder. Here we study this phenomenon on different two-dimensional…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

We study the effect of quenched spatial disorder on the steady states of driven systems of interacting particles. Two sorts of models are studied: disordered drop-push processes and their generalizations, and the disordered asymmetric…

Statistical Mechanics · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma

The density and correlations of topological defects are investigated numerically in a model of a d=2 elastic medium subject to a periodic quenched random potential. The computed density of defects decreases approximately exponentially with…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Alan Middleton

The effect of quenched disorder on the low-energy and low-temperature properties of various two- and three-dimensional Heisenberg models is studied by a numerical strong disorder renormalization group method. For strong enough disorder we…

Disordered Systems and Neural Networks · Physics 2009-11-07 Y. -C. Lin , R. Mélin , H. Rieger , F. Iglói

A 1D model of interacting particles moving over a periodic substrate and in a position dependent temperature profile is considered. When the substrate and the temperature profile are spatially asymmetric a center-of-mass velocity develops,…

Statistical Mechanics · Physics 2021-03-03 A. Imparato

We investigate disorder relevance for the pinning of a renewal whose inter-arrival law has tail exponent $\alpha>0$ when the law of the random environment is in the domain of attraction of a stable law with parameter $\gamma \in (1,2)$. We…

Probability · Mathematics 2016-10-24 Hubert Lacoin , Julien Sohier