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Flocking models with metric and topological interactions are supposed to exhibit distinct features, as for instance the presence and absence of moving polar bands. On the other hand, quenched disorder (spatial heterogeneities) has been…

Biological Physics · Physics 2022-01-04 Parisa Rahmani , Fernando Peruani , Pawel Romanczuk

We investigate the effects of quenched disorder on first-order quantum phase transitions on the example of the $N$-color quantum Ashkin-Teller model. By means of a strong-disorder renormalization group, we demonstrate that quenched disorder…

Strongly Correlated Electrons · Physics 2013-01-17 Fawaz Hrahsheh , José A. Hoyos , Thomas Vojta

The stability of antiferromagnetic long-range order against quenched disorder is considered. A simple model of an antiferromagnet with a spatially varying Neel temperature is shown to possess a nontrivial fixed point corresponding to…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

The half-filled attractive Hubbard model exhibits simultaneous charge density wave and superconducting order in its ground state. In this paper we explore the effect of disorder in the site energies on this degeneracy. We find that…

Condensed Matter · Physics 2009-10-28 C. Huscroft , R. T. Scalettar

The interaction between two chemically identical charge-regulated surfaces is studied using the classical density functional theory. In contrast to common expectations and assumptions, under certain realistic conditions we find a…

Soft Condensed Matter · Physics 2018-02-26 Arghya Majee , Markus Bier , Rudolf Podgornik

We study the phenomenon of super-roughening found on surfaces growing on disordered substrates. We consider a one-dimensional version of the problem for which the pure, ordered model exhibits a roughening phase transition. Extensive…

Statistical Mechanics · Physics 2009-11-10 Saul Ares , Angel Sanchez , Alan R. Bishop

We study the impact of a random quenched potentials and torques on scalar active matter. Microscopic simulations reveal that motility-induced phase separation is replaced in two-dimensions by an asymptotically homogeneous phase with…

Statistical Mechanics · Physics 2021-02-02 Sunghan Ro , Yariv Kafri , Mehran Kardar , Julien Tailleur

We use quantum Monte Carlo simulations to study the effect of disorder, in the form of a disordered chemical potential, on the phase diagram of the hard core bosonic Hubbard model in two dimensions. We find numerical evidence that in two…

Superconductivity · Physics 2009-11-07 K. Bernardet , G. G. Batrouni , M. Troyer , A. Dorneich

This paper studies the behavior of singularly perturbed nonlinear differential equations with boundary-layer solutions that do not necessarily converge to an equilibrium. Using the average of the fast variable and assuming the boundary…

Systems and Control · Computer Science 2018-09-24 Mohammad Deghat , Saeed Ahmadizadeh , Dragan Nesic , Chris Manzie

We study the role played by topological textures and antitextures during the phase ordering of a two-dimensional system described by the discretised nonlinear O(3) sigma model with purely dissipative dynamics. We identify and characterise…

Condensed Matter · Physics 2016-08-31 Martin Zapotocky , Wojtek Zakrzewski

Two-dimensional disordered quantum antiferromagnets are studied by means of a continuum description in which disorder is introduced by a random distribution of couplings (spin stiffnesses) in the ordered phase of the Nonlinear Sigma Model.…

Strongly Correlated Electrons · Physics 2009-11-07 E. C. Marino

Here we have simulated effect of quenched type random-bond disorder during the XY transition.Here we have studied the spontaneous magnetization(M),heat-capacity(Cv) with T.Here we notice a spontaneous symmetry breaking and observe quasi…

Disordered Systems and Neural Networks · Physics 2023-10-17 Nepal Banerjee

We use scale invariant scattering theory to exactly determine the lines of renormalization group fixed points for $O(N)$-symmetric models with quenched disorder in two dimensions. Random fixed points are characterized by two disorder…

Statistical Mechanics · Physics 2018-05-11 Gesualdo Delfino , Noel Lamsen

Effects of correlated disorder on wave localization have attracted considerable interest. Motivated by the importance of studies of quantum transport in rough nanowires, here we examine how colored surface roughness impacts the conductance…

Disordered Systems and Neural Networks · Physics 2015-05-14 Gursoy B. Akguc , Jiangbin Gong

We consider a classical spin model, of two-dimensional spins, with continuous symmetry, and investigate the effect of a symmetry breaking unidirectional quenched disorder on the magnetization of the system. We work in the mean field regime.…

Other Condensed Matter · Physics 2014-11-19 Aditi Sen De , Ujjwal Sen , Jan Wehr , Maciej Lewenstein

To sensitively test scaling in the 2D XY model quenched from high-temperatures into the ordered phase, we study the difference between measured correlations and the (scaling) results of a Gaussian-closure approximation. We also directly…

Statistical Mechanics · Physics 2009-10-31 F. Rojas , A. D. Rutenberg

To construct continuum stochastic growth equations for competitive nonequilibrium surface-growth processes of the type RD+X that mixes random deposition (RD) with a correlated-growth process X, we use a simplex decomposition of the height…

Statistical Mechanics · Physics 2015-02-03 A. Kolakowska , M. A. Novotny

The impact of quenched disorder on deterministic diffusion in chaotic dynamical systems is studied. As a simple example, we consider piecewise linear maps on the line. In computer simulations we find a complicated scenario of multiple…

Chaotic Dynamics · Physics 2009-11-07 R. Klages

In this paper we study a hierarchical supersymmetric model for a class of gapless, three-dimensional, weakly disordered quantum systems, displaying pointlike Fermi surface and conical intersections of the energy bands in the absence of…

Mathematical Physics · Physics 2020-12-02 Giovanni Antinucci , Luca Fresta , Marcello Porta

We consider the influence of quenched spatial disorder on phase transitions in classical and quantum systems. We show that rare strong disorder fluctuations can have dramatic effects on critical points. In classical systems with…

Statistical Mechanics · Physics 2009-11-10 Thomas Vojta , Rastko Sknepnek