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One possible framework to interpret the irreversibility transition observed in periodically driven colloidal suspensions is that of a non-equilibrium phase transition towards an absorbing reversible state at low amplitude of the driving…

Statistical Mechanics · Physics 2016-03-30 Elsen Tjhung , Ludovic Berthier

We investigate the first-order phase transitions of the $q$-state Potts models with $q = 5, 6, 7$, and $8$ on the two-dimensional square lattice, using Monte Carlo simulations. At the very weakly first-order transition of the $q=5$ system,…

Statistical Mechanics · Physics 2019-03-05 Shumpei Iino , Satoshi Morita , Anders W. Sandvik , Naoki Kawashima

Quantum phase transition in the one-dimensional period-two and uniform quantum compass model are studied by using the pseudo-spin transformation method and the trace map method. The exact solutions are presented, the fidelity, the…

Strongly Correlated Electrons · Physics 2009-11-13 Ke-Wei Sun , Yu-Yu Zhang , Qing-Hu Chen

We consider oriented percolation on Z^d times Z_+ whose bond-occupation probability is pD(...), where p is the percolation parameter and D is a probability distribution on Z^d. Suppose that D(x) decays as |x|^{-d-\alpha} for some \alpha>0.…

Probability · Mathematics 2007-08-21 Lung-Chi Chen , Akira Sakai

The $q$-state Potts model is an archetypical model for various types of phase transitions. We consider it on the square grid and focus on the regime where it undergoes a discontinuous transition, that is $q>4$. At the transition point…

Probability · Mathematics 2026-04-24 Moritz Dober , Alexander Glazman , Sébastien Ott

We present a numerical study of the two-dimensional quantum percolation model, revealing that a critical region with multifractal eigenstates mediates the transition from localized to delocalized states. By analyzing the mean level ratio…

Disordered Systems and Neural Networks · Physics 2025-10-28 W. S. Oliveira , J. Pimentel de Lima , F. A. Pinheiro , R. R. dos Santos

We study the phase transition between the normal and non-uniform (Fulde-Ferrell-Larkin-Ovchinnikov) superconducting state in quasi two-dimensional d-wave superconductors at finite temperature. We obtain an appropriate Ginzburg-Landau theory…

Superconductivity · Physics 2009-11-10 Denis Dalidovich , Kun Yang

We develop a percolation model motivated by recent experimental studies of gels with active network remodeling by molecular motors. This remodeling was found to lead to a critical state reminiscent of random percolation (RP), but with a…

Statistical Mechanics · Physics 2015-03-10 M. Sheinman , A. Sharma , J. Alvarado , G. H. Koenderink , F. C. MacKintosh

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

We studied the phase diagram for a two-dimensional d-wave superconducting system under an in-plane magnetic field or an exchange field. According to the spatial configuration of the order parameter, we show that there exists quantum phase…

Superconductivity · Physics 2009-12-17 Tao Zhou , C. S. Ting

We study a two-band Hubbard model in the limit of infinite dimensions, using a combination of analytical methods and Monte-Carlo techniques. The normal state is found to display various metal to insulators transitions as a function of…

Condensed Matter · Physics 2009-10-22 Antoine Georges , Gabriel Kotliar , Werner Krauth

We consider the Constrained-degree percolation model on the hypercubic lattice, $\mathbb L^d=(\mathbb Z^d,\mathbb E^d)$ for $d\geq 3$. It is a continuous time percolation model defined by a sequence, $(U_e)_{e\in\mathbb E^d}$, of i.i.d.…

Probability · Mathematics 2023-01-03 Ivailo Hartarsky , Bernardo N. B. de Lima

Here we compare critical properties of systems in the directed-percolation (DP) universality class with those of absorbing-state phase transitions occurring in the presence of a non-diffusive conserved field, i.e. transitions in the…

Statistical Mechanics · Physics 2009-11-13 Juan A. Bonachela , Miguel A. Munoz

The crossover behavior of various models exhibiting phase transition to absorbing phase with parity conserving class has been investigated by numerical simulations and cluster mean-field method. In case of models exhibiting Z_2 symmetric…

Statistical Mechanics · Physics 2009-11-13 Geza Odor , Nora Menyhard

Continuous phase transitions are studied in a two dimensional nonequilibrium model with an infinite number of absorbing configurations. Spreading from a localized source is characterized by nonuniversal critical exponents, which vary…

Condensed Matter · Physics 2009-10-28 Ronald Dickman

We report on numerically exact determinantal quantum Monte Carlo simulations of the onset of spin-density wave (SDW) order in itinerant electron systems captured by a sign-problem-free two-dimensional lattice model. Extensive measurements…

Strongly Correlated Electrons · Physics 2017-01-18 Max H. Gerlach , Yoni Schattner , Erez Berg , Simon Trebst

We study the hopping transport of a quantum particle through finite, randomly diluted percolation clusters in two dimensions. We investigate how the transmission coefficient T behaves as a function of the energy E of the particle, the…

Statistical Mechanics · Physics 2007-05-23 E. Cuansing , H. Nakanishi

We study models of correlated percolation where there are constraints on the occupation of sites that mimic force-balance, i.e. for a site to be stable requires occupied neighboring sites in all four compass directions in two dimensions. We…

Disordered Systems and Neural Networks · Physics 2013-05-29 M. Jeng , J. M. Schwarz

We have calculated the large-$q$ series of the energy cumulants, the magnetization cumulants and the correlation length at the first order phase transition point both in the ordered and disordered phases for the $q$-state Potts model in two…

High Energy Physics - Lattice · Physics 2017-08-23 H. Arisue , K. Tabata

Phase transitions to absorbing states are among the simplest examples of critical phenomena out of equilibrium. The characteristic feature of these models is the presence of a fluctuationless configuration which the dynamics cannot leave,…