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Related papers: Wetting transition on a one-dimensional disorder

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One investigates the flat phase of quenched disordered polymerized membranes by means of a two-loop, weak-coupling computation performed near their upper critical dimension $D_{uc} = 4$, generalizing the one-loop computation of Morse,…

Disordered Systems and Neural Networks · Physics 2021-03-10 O. Coquand , D. Mouhanna

We consider a hierarchical model of polymer pinning in presence of quenched disorder, introduced by B. Derrida, V. Hakim and J. Vannimenius in 1992, which can be re-interpreted as an infinite dimensional dynamical system with random initial…

Probability · Mathematics 2010-07-23 Giambattista Giacomin , Hubert Lacoin , Fabio Lucio Toninelli

We consider the continuous-time random walk of a particle in a two-dimensional self-affine quenched random potential of Hurst exponent $H>0$. The corresponding master equation is studied via the strong disorder renormalization procedure…

Disordered Systems and Neural Networks · Physics 2010-02-01 Cecile Monthus , Thomas Garel

We study the effect of dilute pinning on the jamming transition. Pinning reduces the average contact number needed to jam unpinned particles and shifts the jamming threshold to lower densities, leading to a pinning susceptibility, $\chi_p$.…

Soft Condensed Matter · Physics 2016-06-15 Amy L. Graves , Samer Nashed , Elliot Padgett , Carl P. Goodrich , Andrea J. Liu , James P. Sethna

We consider a model of a polymer in $\mathbb{Z}^{d+1}$, constrained to join 0 and a hyperplane at distance $N$. The polymer is subject to a quenched nonnegative random environment. Alternatively, the model describes crossing random walks in…

Probability · Mathematics 2012-04-11 Dmitry Ioffe , Yvan Velenik

Pinning and depinning of wave fronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators…

Statistical Mechanics · Physics 2009-11-07 A. Carpio , L. L. Bonilla , A. Luzon

The mechanical yielding of amorphous solids under external loading can be broadly classified into ductile and brittle types, depending on whether their macroscopic stress response is smooth or abrupt, respectively. Recently, it has been…

Soft Condensed Matter · Physics 2025-01-16 Anoop Mutneja , Bhanu Prasad Bhowmik , Smarajit Karmakar

We study the vortex glass transition in disordered high temperature superconductors using Monte Carlo simulations. We use a random pinning model with strong point-correlated quenched disorder, a net applied magnetic field, longrange vortex…

Superconductivity · Physics 2009-11-07 Anders Vestergren , Jack Lidmar , Mats Wallin

We study the effect of quenched disorder in the thermodynamic magnitudes entailed in the first-order vortex phase transition of the extremely layered Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8 + \delta}$ compound. We track the temperature-evolution of…

Superconductivity · Physics 2020-07-14 M. I. Dolz , P. Pedrazzini , H. Pastoriza , M. Konczykowski , Y. Fasano

In this work we study a natural transition mechanism describing the passage from a quenched (almost sure) regime to an annealed (in average) one, for a symmetric simple random walk on random obstacles on sites having an identical and…

Probability · Mathematics 2016-08-16 Gérard Ben Arous , Stanislav Molchanov , Alejandro F. Ramírez

We study a 1D system with a power-law quasiparticle dispersion $\propto |k|^\alpha\sign k$ in the presence of a short-range-correlated random potential and demonstrate that for $\alpha<1/2$ it exhibits a disorder-driven quantum phase…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 M. Garttner , S. V. Syzranov , A. M. Rey , V. Gurarie , L. Radzihovsky

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 use the density matrix renormalization group to study the quantum transitions that occur in the half-filled one-dimensional fermionic Hubbard model with onsite potential disorder. We find a transition from the gapped Mott phase with…

Strongly Correlated Electrons · Physics 2016-08-15 Ramesh V. Pai , Alexander Punnoose , Rudolf A. Römer

For the DNA denaturation transition in the presence of random contact energies, or equivalently the disordered wetting transition, we introduce a Strong Disorder Renewal Approach to construct the optimal contacts in each disordered sample…

Disordered Systems and Neural Networks · Physics 2017-01-23 Cecile Monthus

The low temperature phase diagram of 1D weakly disordered quantum systems like charge or spin density waves and Luttinger liquids is studied by a \emph{full finite temperature} renormalization group (RG) calculation. For vanishing quantum…

Strongly Correlated Electrons · Physics 2008-06-24 Andreas Glatz , Thomas Nattermann

The role of quadratic onsite pinning potentials on determining the size (N) dependence of the disorder averaged steady state heat current <J>, in a isotopically disordered harmonic chain connected to stochastic heat baths, is investigated.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Dibyendu Roy , Abhishek Dhar

In this article we continue the study of the quenched distributions of transient, one-dimensional random walks in a random environment. In a previous article we showed that while the quenched distributions of the hitting times do not…

Probability · Mathematics 2016-06-14 Jonathon Peterson , Gennady Samorodnitsky

We study the distribution of dynamical quantities in various one-dimensional, disordered models the critical behavior of which is described by an infinite randomness fixed point. In the {\it disordered contact process}, the quenched…

Disordered Systems and Neural Networks · Physics 2015-06-18 Róbert Juhász

Competing pinning effects on a D-dimensional interface by weak impurity disorder and a periodic potential of the underlying crystal lattice are analyzed for $2<D<4$. We use both the Gaussian variational method (GVM) and the functional…

Statistical Mechanics · Physics 2007-05-23 Uwe Müssel

We introduce and study the disordered Dicke model in which the spin-boson couplings are drawn from a random distribution with some finite width. Regarding the quantum phase transition we show that when the standard deviation $\sigma$ of the…

Statistical Mechanics · Physics 2023-08-28 Pragna Das , Sebastian Wüster , Auditya Sharma