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We study the spectrum of the states localized in the vortex cores in the mixed state of clean layered superconductors. S-wave coupling is assumed. It is found that in a large region of parameters adjacent to the superclean case a new…

Condensed Matter · Physics 2009-10-31 A. A. Koulakov , A. I. Larkin

We perform extensive numerical simulations of different versions of the sandpile model. We find that previous claims about universality classes are unfounded, since the method previously employed to analyze the data suffered a systematic…

Statistical Mechanics · Physics 2009-10-31 Alessandro Chessa , H. Eugene Stanley , Alessandro Vespignani , Stefano Zapperi

Dynamic properties of a one-dimensional probabilistic cellular automaton are studied by monte-carlo simulation near a critical point which marks a second-order phase transition from a active state to a effectively unique absorbing state.…

Statistical Mechanics · Physics 2009-10-30 Pratip Bhattacharyya

Universal scaling laws govern the density of topological defects generated while crossing an equilibrium continuous phase transition. The Kibble-Zurek mechanism (KZM) predicts the dependence on the quench time for slow quenches. By…

Statistical Mechanics · Physics 2023-12-07 Wei-can Yang , Makoto Tsubota , Adolfo del Campo , Hua-Bi Zeng

We study a system of self-propelled disks that perform run-and-tumble motion, where particles can adopt more than one internal state. One of those internal states can be transmitted to another particle if the particle carrying this state…

Biological Physics · Physics 2019-12-30 Fernando Peruani , Gustavo Sibona

We propose and study a model where, for the first time, two aspects are present: parity conservation and infinitely many absorbing states. Whereas steady-state simulations show that the static critical behaviour is not affected by the…

Condensed Matter · Physics 2009-10-31 M. C. Marques , J. F. F. Mendes

We introduce a family of classical stochastic processes describing diffusive particles undergoing branching and long-range annihilation in the presence of a parity constraint. The probability for a pair-annihilation event decays as a…

Statistical Mechanics · Physics 2024-09-06 Nicholas O'Dea , Sayak Bhattacharjee , Sarang Gopalakrishnan , Vedika Khemani

We study transitions between phases of matter with topological order. By studying these transitions in exactly solvable lattice models we show how universality classes may be identified and critical properties described. As a familiar…

Strongly Correlated Electrons · Physics 2015-05-20 F. J. Burnell , Steven H. Simon , J. K. Slingerland

We review the critical behavior of nonequilibrium systems, such as directed percolation (DP) and branching-annihilating random walks (BARW), which possess phase transitions into absorbing states. After reviewing the bulk scaling behavior of…

Statistical Mechanics · Physics 2009-11-07 P. Frojdh , M. Howard , K. B. Lauritsen

We investigate a $2d$-conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density $\rho_c$. We derive the hydrodynamic equation for this model, showing that all critical exponents governing the…

Statistical Mechanics · Physics 2025-01-07 Clément Erignoux , Alexandre Roget , Assaf Shapira , Marielle Simon

A generalization of the ABC model, a one-dimensional model of a driven system of three particle species with local dynamics, is introduced, in which the model evolves under either (i) density-conserving or (ii) nonconserving dynamics. For…

Statistical Mechanics · Physics 2015-05-19 A. Lederhendler , D. Mukamel

A one-dimensional model on a line of the length L is investigated, which involves particle diffusion as well as single particle annihilation. There are also creation and annihilation at the boundaries. The static and dynamical behaviors of…

Mathematical Physics · Physics 2014-03-17 Mohammad Khorrami , Amir Aghamohammadi

We study numerically and analytically the dynamics of a sedimenting suspension of active, reproducing particles, such as growing bacteria in a gravitational field. In steady state we find a non-equilibrium phase transition between a…

Statistical Mechanics · Physics 2009-11-13 C. Barrett-Freeman , M. R. Evans , D. Marenduzzo , W. C. K. Poon

A general n-state directed `sandpile' model is introduced. The stationary properties of the n-state model are derived for n < infty, and analytical arguments based on a central limit theorem show that the model belongs to the universality…

Statistical Mechanics · Physics 2009-11-11 Matthew Stapleton , Kim Christensen

We consider the critical behavior at an interface which separates two semi-infinite subsystems belonging to different universality classes, thus having different set of critical exponents, but having a common transition temperature. We…

Statistical Mechanics · Physics 2007-05-23 F. A. Bagamery , L. Turban , F. Igloi

We study the equilibrium phase diagram of a generalized ABC model on an interval of the one-dimensional lattice: each site $i=1,...,N$ is occupied by a particle of type $\a=A,B,C,$ with the average density of each particle species…

Statistical Mechanics · Physics 2011-08-22 John Barton , Joel L. Lebowitz , Eugene R. Speer

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of values for these exponents also share the same universality…

Adaptation and Self-Organizing Systems · Physics 2019-11-01 Mauricio Girardi-Schappo , M. H. R. Tragtenberg

A two-offspring branching annihilating random walk model, with finite reaction rates, is studied in one-dimension. The model exhibits a transition from an active to an absorbing phase, expected to belong to the $DP2$ universality class…

Statistical Mechanics · Physics 2009-11-10 Dexin Zhong , Daniel ben-Avraham , Miguel A. Munoz

Using inverse Ising inference we show that the absorbing states of the one-dimensional Manna model can be described by an equilibrium model with an emergent interaction displaying short-ranged repulsion and long-ranged attraction. As the…

Statistical Mechanics · Physics 2018-12-06 Thomas Machon

Dense particle packings acquire rigidity through a nonequilibrium jamming transition commonly observed in materials from emulsions to sandpiles. We describe athermal packings and their observed geometric phase transitions using fully…

Statistical Mechanics · Physics 2011-04-05 Hugo Jacquin , Ludovic Berthier , Francesco Zamponi