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We use large scale simulations to study interacting particles in two dimensions in the presence of both an ac drive and quenched disorder. As a function of ac amplitude, there is a crossover from a low drive regime where the colloid…

Statistical Mechanics · Physics 2009-11-11 C. Reichhardt , C. J. Olson Reichhardt

Motivated by anomalously large conductivity anisotropy in layered materials, we propose a simple model of randomly spaced potential barriers (mimicking stacking faults) with isotropic impurities in between the barriers. We solve this model…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dmitrii L. Maslov , Vladimir I. Yudson , Andres M. Somoza , Miguel Ortuño

We investigate the effects of layered quenched disorder on the behavior of planar magnets, superfluids, and superconductors by performing large-scale Monte-Carlo simulations of a three-dimensional randomly layered XY model. Our data provide…

Disordered Systems and Neural Networks · Physics 2012-12-04 Fawaz Hrahsheh , Thomas Vojta

Replica and functional renormalization group methods show that, with short range substrate forces or in strong fluctuation regimes, wetting of a self-affine rough wall in 2D turns first-order as soon as the wall roughness exponent exceeds…

Statistical Mechanics · Physics 2009-10-31 Attilio L. Stella , Giovanni Sartoni

We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare but have strong intensity. In this regime, we determine the…

Probability · Mathematics 2008-07-26 Erwin Bolthausen , Francesco Caravenna , Béatrice de Tilière

We study a quasi-2D classical Landau-Ginzburg-Wilson effective field theory in the presence of quenched disorder in which incommensurate charge-density wave and superconducting orders are intertwined. The disorder precludes long-range…

Superconductivity · Physics 2015-11-11 Laimei Nie , Lauren E. Hayward Sierens , Roger G. Melko , Subir Sachdev , Steven A. Kivelson

We investigate through Monte Carlo simulations the non-equilibrium behaviour of the three-dimensional XY-model quenched from a high temperature state to its ferromagnetic and critical phases. The two-times autocorrelation and response…

Other Condensed Matter · Physics 2015-06-24 Stephane Abriet , Dragi Karevski

The entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far it has only been used to characterise the breaking of continuous Abelian…

Statistical Mechanics · Physics 2024-02-08 Florent Ferro , Filiberto Ares , Pasquale Calabrese

In spin systems such as the Ising model, the local order and disorder can be characterized by the order-parameter and energy density profiles $\langle \sigma ({\bf r}_1) \rangle$ and $\langle \epsilon ({\bf r}_2) \rangle$, respectively.…

Statistical Mechanics · Physics 2026-02-10 E. Eisenriegler

We study a generalized Kardar-Parisi-Zhang (KPZ) equation [Jana et al., Phys. Rev. E 109, L032104 (2024)] that sets the paradigm for universality in roughening of growing nonequilibrium surfaces without any conservation laws but with…

Statistical Mechanics · Physics 2025-07-29 Debayan Jana , Abhik Basu

The behaviour of materials under spatial confinement is sensitively dependent on the nature of the confining boundaries. In two dimensions, confinement within a hard circular boundary inhibits the hexagonal ordering observed in bulk systems…

Soft Condensed Matter · Physics 2015-06-17 Ian Williams , Erdal C. Oğuz , Robert L. Jack , Paul Bartlett , Hartmut Löwen , C. Patrick Royall

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 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

A phase diagram for a one dimensional fiber bundle model is constructed with a continuous variation in two parameters guiding dynamics of the model: strength of disorder and system size. We monitor the successive events of fiber rupture in…

Statistical Mechanics · Physics 2021-12-03 Subhadeep Roy

We show that the order dimension of the weak order on a Coxeter group of type A, B or D is equal to the rank of the Coxeter group, and give bounds on the order dimensions for the other finite types. This result arises from a unified…

Combinatorics · Mathematics 2026-05-13 Nathan Reading

The competing effect of a periodic pinning potential and random point disorder is studied for arrays of elastic lines or directed polymers. The groundstates are investigated by exact combinatorial optimization. In both two and three…

Statistical Mechanics · Physics 2009-10-31 T. Knetter , G. Schröder , M. J. Alava , H. Rieger

We study the square-lattice XY model in the presence of random phase shifts. We consider two different disorder distributions with zero average shift and investigate the low-temperature quasi-long-range order phase which occurs for…

Disordered Systems and Neural Networks · Physics 2015-05-13 Vincenzo Alba , Andrea Pelissetto , Ettore Vicari

We study random compositions of transformations having certain uniform fiberwise properties and prove bounds which in combination with other results yield a quenched central limit theorem equipped with a convergence rate, also in the…

Dynamical Systems · Mathematics 2020-01-08 Olli Hella , Mikko Stenlund

We report on an experimental observation of classical diffusion distinguishing between structural universality classes of disordered systems in one dimension. Samples of hyperuniform and short-range disorder were designed, characterized by…

Mesoscale and Nanoscale Physics · Physics 2017-12-05 Antonios Papaioannou , Dmitry S. Novikov , Els Fieremans , Gregory S. Boutis

We study the quasi-long-range ordered phase of a 2D XY model with quenched site-dilution using the spin-wave approximation and expansion in the parameter which characterizes the deviation from completely homogeneous dilution. The results,…

Statistical Mechanics · Physics 2010-07-06 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch