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We study one- and two-dimensional models which undergo a transition between active and absorbing phases. The transition point in these models is of novel type: jump of the order parameter coincides with its power-law singularity. Some…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski

We study the influence of disorder strength on the interface roughening process in a phase-field model with locally conserved dynamics. We consider two cases where the mobility coefficient multiplying the locally conserved current is either…

Disordered Systems and Neural Networks · Physics 2009-11-13 T. Laurila , M. Pradas , A. Hernandez-Machado , T. Ala-Nissila

Using Monte Carlo method we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent beta=0.273(5) suggests that the model belongs to the (1+1) rather than (2+1) directed-percolation…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

Statistical Mechanics · Physics 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

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 introduce and solve a model of hardcore particles on a one dimensional periodic lattice which undergoes an active-absorbing state phase transition at finite density. In this model an occupied site is defined to be active if its left…

Statistical Mechanics · Physics 2009-07-28 Urna Basu , P. K. Mohanty

We study the depinning transition for models representative of each of the two universality classes of interface roughening with quenched disorder. For one of the universality classes, the roughness exponent changes value at the transition,…

Condensed Matter · Physics 2009-10-22 Hernan A. Makse , Luis A. Nunes Amaral

We study the absorbing-state phase transition in the one-dimensional contact process under the combined influence of spatial and temporal random disorders. We focus on situations in which the spatial and temporal disorders decouple. Couched…

Statistical Mechanics · Physics 2022-10-04 Xuecheng Ye , Thomas Vojta

The dynamics based on information transfer is proposed as an underlying mechanism for the scale-invariant dynamic critical behavior observed in a variety of systems. We apply the dynamics to the globally-coupled Ising model, which is…

Statistical Mechanics · Physics 2009-11-10 M. Y. Choi , B. J. Kim , B. -G. Yoon , H. Park

We study the continuous absorbing-state phase transition in the one-dimensional diffusive epidemic process via mean-field theory and Monte Carlo simulation. In this model, particles of two species (A and B) hop on a lattice and undergo…

Statistical Mechanics · Physics 2009-11-11 Daniel Souza Maia , Ronald Dickman

We use numerical simulations to investigate the hydrodynamic behavior of the interface between nematic (N) and isotropic (I) phases of a confined active liquid crystal. At low activities, a stable interface with constant shape and velocity…

Soft Condensed Matter · Physics 2021-02-25 Rodrigo C. V. Coelho , Nuno A. M. Araújo , Margarida M. Telo da Gama

A finite temperature version of body-centered solid-on-solid growth models involving attachment and detachment of dimers is discussed in 1+1 dimensions. The dynamic exponent of the growing interface is studied numerically via the spectrum…

Statistical Mechanics · Physics 2007-09-27 M. D. Grynberg

Jamming transition is traditionally regarded as a geometric transition governed by static contact networks. Recently, dynamic phase transitions of athermal particles under periodic shearing provide a new lens on this problem, leading to a…

Statistical Mechanics · Physics 2026-04-24 He-Da Wang , Bo Wang , Qun-Li Lei , Yu-Qiang Ma

Dopant-based quantum computing implementations often require the dopants to be situated close to an interface to facilitate qubit manipulation with local gates. Interfaces not only modify the energies of the bound states but also affect…

Mesoscale and Nanoscale Physics · Physics 2015-12-10 J. C. Abadillo-Uriel , M. J. Calderón

We propose and study a one-dimensional model which consists of two cross-diffusion systems coupled via a moving interface. The motivation stems from the modelling of complex diffusion processes in the context of the vapor deposition of thin…

Analysis of PDEs · Mathematics 2024-07-23 Clément Cancès , Jean Cauvin-Vila , Claire Chainais-Hillairet , Virginie Ehrlacher

We present a general scaling theory for the surface critical behavior of non-equilibrium systems with phase transitions into absorbing states. The theory allows for two independent surface exponents which satisfy generalized hyperscaling…

Statistical Mechanics · Physics 2009-10-31 K. B. Lauritsen , P. Frojdh , M. Howard

The behavior of many magnetic and dielectric solids, and the more contemporary magnetic super-lattices, is governed by dipolar interactions. They are anisotropic and long-ranged, having varied consequences ranging from ground states with…

Statistical Mechanics · Physics 2021-08-25 Shikha Kumari , Sanjay Puri , Varsha Banerjee

A three-dimensional atomistic Kinetic Monte Carlo model was developed and used to study the interaction between mobile solutes and a migrating interface. While the model was developed with a simplified energetic and topological description,…

Materials Science · Physics 2015-06-16 Aulia Tegar Wicaksono , Chad W. Sinclair , Matthias Militzer

Controlling interfaces of phase separating fluid mixtures is key to creating diverse functional soft materials. Traditionally, this is accomplished with surface-modifying chemical agents. Using experiment and theory, we study how mechanical…

Soft Condensed Matter · Physics 2022-08-15 Raymond Adkins , Itamar Kolvin , Zhihong You , Sven Witthaus , M. Cristina Marchetti , Zvonimir Dogic

The nanoscopic structure and the stationary propagation velocity of (1+1)-dimensional solid-on-solid interfaces in an Ising lattice-gas model, which are driven far from equilibrium by an applied force, such as a magnetic field or a…

Statistical Mechanics · Physics 2007-07-24 G. M Buendia , P. A. Rikvold , M. Kolesik , K. Park , M. A. Novotny