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A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck , A. Hucht

In a recent work [A. Deger et al., Phys. Rev. Lett. 129, 160601 (2022)] we have shown that kinetic constraints can completely arrest many-body chaos in the dynamics of a classical, deterministic, translationally-invariant spin system with…

Statistical Mechanics · Physics 2022-11-02 Aydin Deger , Achilleas Lazarides , Sthitadhi Roy

Langevin dynamical simulations are performed to study the depinning dynamics of two-dimensional dusty plasmas on a one-dimensional periodic substrate. From the diagnostics of the sixfold coordinated particles $P_6$ and the collective drift…

Plasma Physics · Physics 2024-04-23 L. Gu , W. Li , C. Reichhardt , C. J. O. Reichhardt , M. S. Murillo , Yan Feng

We give an overview of the state of the art of the analysis of disordered models of pinning on a defect line. This class of models includes a number of well known and much studied systems (like polymer pinning on a defect line, wetting of…

Mathematical Physics · Physics 2008-07-29 Giambattista Giacomin

We study a class of models of i.i.d.~random environments in general dimensions $d\ge 2$, where each site is equipped randomly with an environment, and a parameter $p$ governs the frequency of certain environments that can act as a barrier.…

Probability · Mathematics 2021-11-02 Mark Holmes , Thomas S. Salisbury

We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of…

Materials Science · Physics 2007-05-23 A. Carpio , L. L. Bonilla

We study the reaction-diffusion process $A+B\to \emptyset$ with injection of each species at opposite boundaries of a one-dimensional lattice and bulk driving of each species in opposing directions with a hardcore interaction. The system…

Statistical Mechanics · Physics 2009-10-28 M. J. E. Richardson , M. R. Evans

We consider the analogy between the topological phase transition which occurs as a function of spatial coordinate on a surface of a non-trivial insulator, and the one which occurs in the bulk due to the change of internal parameters (such…

Materials Science · Physics 2012-11-06 Stanislav Chadov , Janos Kiss , Jürgen Kübler , Claudia Felser

We study the one dimensional three species monomer-monomer reaction model in the reaction controlled limit using mean-field theory and dynamic Monte Carlo simulations. The phase diagram consists of a reactive steady state bordered by three…

Statistical Mechanics · Physics 2009-10-31 Kevin E. Bassler , Dana A. Browne

We investigate a three-dimensional kinetically-constrained model that exhibits two types of phase transitions at different densities. At the jamming density $ \rho_J $ there is a mixed-order phase transition in which a finite fraction of…

Statistical Mechanics · Physics 2017-06-08 Nimrod Segall , Eial Teomy , Yair Shokef

We study the influence of a correlated disorder on the localization phase transition in the pinning model. When correlations are strong enough, a strong disorder regime arises: large and frequent attractive regions appear in the…

Probability · Mathematics 2015-06-15 Quentin Berger

We analyse numerically the critical behavior of a conserved lattice gas which was recently introduced as an example of the new universality class of absorbing phase transitions with a conserved field [Phys. Rev. Lett. 85, 1803 (2000)]. We…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck

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

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 study the adsorption-desorption phase transition of directed branched polymer in $d+1$ dimensions in contact with a line by mapping it to a $d$ dimensional hard core lattice gas at negative activity. We solve the model exactly in 1+1…

Statistical Mechanics · Physics 2009-11-10 Sumedha

An important component in studying mathematical models in many biochemical systems, such as those found in developmental biology, is phase transition. The purpose of this work is to analyze the phase transition property of a…

Analysis of PDEs · Mathematics 2013-12-19 Masoud Yari

According to recent numerical results from lattice models, the critical exponents of systems with many absorbing states and an order parameter coupled to a non-diffusive conserved field coincide with those of the linear interface depinning…

Condensed Matter · Physics 2016-08-31 Mikko Alava , Miguel A. Munoz

We consider the Boolean model $Z$ on $\mathbb{R}^d$ with random compact grains, i.e. $Z := \bigcup_{i \in \mathbb{N}} (X_i + Z_i)$ where $\eta_t := \{X_1, X_2, \dots\}$ is a Poisson point process of intensity $t$ and $(Z_1, Z_2, \dots)$ is…

Probability · Mathematics 2016-07-22 Sebastian Ziesche

The critical behavior of the contact process in disordered and periodic binary 2d-lattices is investigated numerically by means of Monte Carlo simulations as well as via an analytical approximation and standard mean field theory.…

Statistical Mechanics · Physics 2009-11-13 S. V. Fallert , Y. M. Kim , C. J. Neugebauer , S. N. Taraskin

A phase diagram for a surface interacting long flexible partially directed polymer chain in a two-dimensional poor solvent where the possibility of collapse in the bulk exists is determined using exact enumeration method. We used a model of…

Statistical Mechanics · Physics 2020-12-29 Pramod K Mishra , Yashwant Singh