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The nonequilibrium phase transition in the triplet-creation model is investigated using critical spreading and the conservative diffusive contact process. The results support the claim that at high enough diffusion the phase transition…

Statistical Mechanics · Physics 2009-11-11 Giovano O. Cardozo , Jose F. Fontanari

The pair contact process (PCP) is a nonequilibrium stochastic model which, like the basic contact process (CP), exhibits a phase transition to an absorbing state. The two models belong to the directed percolation (DP) universality class,…

Statistical Mechanics · Physics 2015-05-27 F. L. Santos , Ronald Dickman , U. L. Fulco

We consider directed percolation processes for particle types A and B coupled unidirectionally by a transmutation reaction A -> B. It is shown that the strong coupling regime of this recently introduced problem defines a universality class…

Soft Condensed Matter · Physics 2007-05-23 R. Dengler

We study the phase transition phenomena for long-range oriented percolation and contact process. We studied a contact process in which the range of each vertex are independent, updated dynamically and given by some distribution $N$. We also…

Probability · Mathematics 2025-01-03 Pablo A. Gomes , Bernardo N. B. de Lima

Over the past few decades, tremendous efforts have been devoted to understanding self-duality at the quantum critical point, which enlarges the global symmetry and constrains the dynamics. In this letter, we employ large-scale density…

Strongly Correlated Electrons · Physics 2023-12-27 Sheng Yang , Zhiming Pan , Da-Chuan Lu , Xue-Jia Yu

We study critical spreading dynamics in the two-dimensional contact process (CP) with quenched disorder in the form of random dilution. In the pure model, spreading from a single particle at the critical point $\lambda_c$ is characterized…

Condensed Matter · Physics 2009-10-28 Adriana G. Moreira , Ronald Dickman

We present an extensive numerical study of the critical behavior of dimer models in three dimensions, focusing on the phase transition between Coulomb and crystalline columnar phases. The case of attractive interactions between parallel…

Strongly Correlated Electrons · Physics 2015-03-17 D. Charrier , F. Alet

We study a hierarchy of directed percolation (DP) processes for particle species A, B, ..., unidirectionally coupled via the reactions A -> B, ... When the DP critical points at all levels coincide, multicritical behavior emerges, with…

Statistical Mechanics · Physics 2009-10-30 Uwe C. Täuber , Martin J. Howard , Haye Hinrichsen

Periodically sheared colloids at low densities demonstrate a dynamical phase transition from an inactive to active phase as the strain amplitude is increased. The inactive phase consists of no collisions/contacts between particles in the…

Statistical Mechanics · Physics 2015-06-15 S. -L. -Y. Xu , J. M. Schwarz

We study a model that generalizes the CP with diffusion. An additional transition is included in the model so that at a particular point of its phase diagram a crossover from the directed percolation to the compact directed percolation…

Statistical Mechanics · Physics 2009-11-11 W. G. Dantas , J. F. Stilck

Crossover behaviors from the pair contact process with diffusion (PCPD) and the driven PCPD (DPCPD) to the directed percolation (DP) are studied in one dimension by introducing a single particle annihilation/branching dynamics. The…

Statistical Mechanics · Physics 2007-05-23 Su-Chan Park , Hyunggyu Park

Antiferromagnetic Hamiltonians with short-range, non-frustrating interactions are well-known to exhibit long range magnetic order in dimensions, $d\geq 2$ but exhibit only quasi long range order, with power law decay of correlations, in d=1…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie , Ian Affleck , Mona Berciu

We study the ground-state phase diagram of an unfrustrated antiferromagnetic Ising chain with longitudinal and transverse fields in the full range of interactions: from all-to-all to nearest-neighbors. First, we solve the model analytically…

We investigate a one-dimensional three-species dynamical model whose dynamics naturally generate the semi-directed percolation cluster in time and show a non-equilibrium absorbing state phase transition from an active to inactive state. The…

Statistical Mechanics · Physics 2026-03-18 C K Jasna , V Sasidevan

It is known that diffusion provokes substantial changes in continuous absorbing phase transitions. Conversely, its effect on discontinuous transitions is much less understood. In order to shed light in this direction, we study the inclusion…

Statistical Mechanics · Physics 2014-09-25 Carlos E. Fiore , Gabriel T. Landi

The one-dimensional kinetic contact process with parallel update is introduced and studied by the mean-field approximation and Monte Carlo (MC) simulations. Contrary to a more conventional scenario with single active phase for 1d models…

Statistical Mechanics · Physics 2015-03-17 P. N. Timonin , G. Y. Chitov

We study the ground-state properties of a system of dimers. Each dimer consists in a pair of equivalent charges at a fixed distance, immersed in a neutralizing homogeneous background. All charges interact pairwisely by Coulomb potential.…

Statistical Mechanics · Physics 2018-01-11 Igor Travěnec , Ladislav Šamaj

Fluctuations can drive continuous phase transitions between two distinct ordered phases -- so-called deconfined quantum critical points (DQCPs) -- which lie beyond the Landau-Ginzburg-Wilson paradigm. Despite several theoretical predictions…

The facilitation of Rydberg excitations in a gas of atoms provides an ideal model system to study epidemic evolution on (dynamic) networks and self organization of complex systems to the critical point of a non-equilibrium phase transition.…

Quantum Gases · Physics 2024-04-26 Daniel Brady , Simon Ohler , Johannes Otterbach , Michael Fleischhauer

We suggest a tetracritical fixed point to naturally occur in strongly interacting theories. As a fundamental example we analyze the temperature--quark chemical potential phase diagram of QCD with fermions in the adjoint representation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Francesco Sannino , Kimmo Tuominen