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We consider the rich variety of collective motion patterns emerging when aligning active particles move in the presence of randomly distributed obstacles - representing quenched noise in two dimensions. In order to get insight into the…

Soft Condensed Matter · Physics 2023-02-21 Danial Vahabli , Tamas Vicsek

For stochastic processes leading to condensation, the condensate, once it is formed, performs an ergodic stationary-state motion over the system. We analyse this motion, and especially its characteristic time, for zero-range processes. The…

Statistical Mechanics · Physics 2007-05-23 C. Godreche , J. M. Luck

We study the phase behavior of random heteropolymers (RHPs) with quenched cross-links, a novel polymer class of technological and biological relevance, and show the possible occurrence of freezing with few chain conformations sampled. The…

Statistical Mechanics · Physics 2009-10-31 L. Gutman , E. I. Shakhnovich

A one dimensional exclusion process is introduced where particles hop to a neighbouring vacant site with a rate that depends on the size of the block they belong to. This model is equivalent to a zero range process (ZRP) and shares the same…

Statistical Mechanics · Physics 2010-09-03 Urna Basu , P. K. Mohanty

Quenched or frozen-in structural disorder is ubiquitous in real experimental systems. Much of the progress is achieved in understanding the phase separation of such systems using the diffusion-driven coarsening in Ising model with quenched…

Soft Condensed Matter · Physics 2023-08-15 Rounak Bhattacharyya , Bhaskar Sen Gupta

We show that spontaneous density segregation in dense systems of aligning circle swimmers is a condensation phenomenon at odds with the phase separation scenarios usually observed in two-dimensional active matter. The condensates, which…

Soft Condensed Matter · Physics 2024-12-20 Yujia Wang , Bruno Ventéjou , Hugues Chaté , Xia-qing Shi

The impact of a random disorder potential on the dynamical properties of Bose Einstein condensates is a very wide research field. In microcavities, these studies are even more crucial than in the condensates of cold atoms, since random…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 G. Malpuech , D. Solnyshkov

We consider a non-conserving zero-range process with hopping rate proportional to the number of particles at each site. Particles are added to the system with a site-dependent creation rate, and removed from the system with a uniform…

Statistical Mechanics · Physics 2019-09-04 Pascal Grange

We examine the influence of quenched disorder on the flocking transition of dense polar active matter. We consider incompressible systems of active particles with aligning interactions under the effect of either quenched random forces or…

Statistical Mechanics · Physics 2022-03-09 Riccardo Ben Alì Zinati , Marc Besse , Gilles Tarjus , Matthieu Tissier

The stationary states of boundary driven zero-range processes in random media with quenched disorder are examined, and the motion of a tagged particle is analyzed. For symmetric transition rates, also known as the random barrier model, the…

Statistical Mechanics · Physics 2009-11-13 Otto Pulkkinen

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

The effect of quenched (frozen) orientational disorder on the collective motion of active particles is analyzed. We find that, as with annealed disorder (Langevin noise), active polar systems are far more robust against quenched disorder…

Statistical Mechanics · Physics 2018-12-19 John Toner , Nicholas Guttenberg , Yuhai Tu

The effect of quenched (frozen) disorder on the collective motion of active particles is analyzed. We find that active polar systems are far more robust against quenched disorder than equilibrium ferromagnets. Long ranged order (a non-zero…

Statistical Mechanics · Physics 2018-12-19 John Toner , Nicholas Guttenberg , Yuhai Tu

We study the effects of distinct types of quenched disorder in the contact process (CP) with a competitive dynamics on bipartite sublattices. In the model, the particle creation depends on its first and second neighbors and the extinction…

Statistical Mechanics · Physics 2019-05-08 M. N. Gonzaga , C. E. Fiore , M. M. de Oliveira

We discuss two different regimes of condensate formation in zero-range processes on networks: on a q-regular network, where the condensate is formed as a result of a spontaneous symmetry breaking, and on an irregular network, where the…

Statistical Mechanics · Physics 2009-11-13 L. Bogacz , Z. Burda , W. Janke , B. Waclaw

We study the effects of uncorrelated quenched disorder to the phase diagram and continuous transitions of three-dimensional lattice ${\mathbb Z}_2$ gauge Higgs models. For this purpose, we consider two types of quenched disorder, associated…

Disordered Systems and Neural Networks · Physics 2026-02-18 Claudio Bonati , Ettore Vicari

We discuss the effects of quenched disorder on a model of charge density wave (CDW) ordering on the square lattice. Our model may be applicable to the cuprate superconductors, where a random electrostatic potential exists in the CuO2 planes…

Strongly Correlated Electrons · Physics 2007-05-23 Adrian Del Maestro , Bernd Rosenow , Subir Sachdev

Zero-range processes, in which particles hop between sites on a lattice, are closely related to equilibrium networks, in which rewiring of links take place. Both systems exhibit a condensation transition for appropriate choices of the…

Statistical Mechanics · Physics 2009-11-11 A. G. Angel , M. R. Evans , E. Levine , D. Mukamel

We consider the phenomenon of condensation of a globally conserved quantity $H=\sum_{i=1}^N \epsilon_i$ distributed on $N$ sites, occurring when the density $h= H/N$ exceeds a critical density $h_c$. We numerically study the dependence of…

Statistical Mechanics · Physics 2021-05-26 Gabriele Gotti , Stefano Iubini , Paolo Politi

Polariton condensation can be regarded as a self-organization phenomenon, where phase ordering is established among particles in the system. In such condensed systems, further ordering can possibly occur in the particle density…

Quantum Gases · Physics 2015-03-19 F. Manni , K. G. Lagoudakis , T. C. H. Liew , R. André , B. Deveaud-Plédran