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We study the ground-state properties of one-dimensional fluids of classical (i.e., non-quantum) particles interacting pairwisely via a potential, at the fixed particle density $\rho$. Restricting ourselves to periodic configurations of…

Mathematical Physics · Physics 2025-09-24 Laurent Bétermin , Ladislav Šamaj , Igor Travěnec

Discrete quantum trajectories of systems under random unitary gates and projective measurements have been shown to feature transitions in the entanglement scaling that are not encoded in the density matrix. In this paper, we study the…

Disordered Systems and Neural Networks · Physics 2020-09-24 Nicolai Lang , Hans Peter Büchler

We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to random forces as well. We show that this…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Illes Farkas , Tamas Vicsek

We analyze critical points that can be induced in glassy systems by the presence of constraints. These critical points are predicted by the Mean Field Thermodynamic approach and they are precursors of the standard glass transition in…

Statistical Mechanics · Physics 2014-04-01 Silvio Franz , Giorgio Parisi

Directed percolation is one of the generic universality classes for dynamic processes. We study the crossover from isotropic to directed percolation by representing the combined problem as a random cluster model, with a parameter $r$…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Marcel den Nijs

It is shown that the empirical relations between transition temperature, normal state conductivity linearly extrapolated to the value at the transition temperature, zero temperature penetration depths, etc., as observed in a rich variety of…

Superconductivity · Physics 2009-11-10 T. Schneider

We propose a unifying theoretical framework for the analysis of first-passage time distributions in two important classes of stochastic processes in which the diffusivity of a particle evolves randomly in time. In the first class of…

Statistical Mechanics · Physics 2019-11-05 D. S. Grebenkov

Critical transitions are observed in many complex systems. This includes the onset of synchronization in a network of coupled oscillators or the emergence an epidemic state within a population. "Explosive" first-order transitions have…

Adaptation and Self-Organizing Systems · Physics 2021-04-27 Christian Kuehn , Christian Bick

This work introduces a new class of cross-diffusion systems for studying overcrowding dispersal of two species. The approach, based on proximal minimization energy through a minimum flow process, offers a potential generalization of…

Analysis of PDEs · Mathematics 2024-05-27 Noureddine Igbida

Using classical density functional theory (DFT) in a modified mean-field approximation we investigate the fluid phase behavior of quasi-two dimensional dipolar fluids confined to a plane. The particles carry three-dimensional dipole moments…

Statistical Mechanics · Physics 2013-06-18 R. Geiger , S. H. Klapp

In a recent article [arXiv:1108.5127] Park has shown that the four-state predator-prey model studied earlier in [J. Stat. Mech, L05001 (2011)] belongs to Directed Percolation (DP) universality class. It was claimed that predator density is…

Statistical Mechanics · Physics 2011-09-22 P. K. Mohanty , Rakesh Chatterjee , Abhik Basu

We generate point configurations (PCs) by thresholding the local energy of the Ashkin-Teller model in two dimensions (2D) and study the percolation transition at different values of $\lambda$ along the critical Baxter line by varying the…

Statistical Mechanics · Physics 2025-07-21 Sayantan Mitra , Indranil Mukherjee , P. K. Mohanty

In cond-mat/0107371, Mendonca proposes that diffusion can change the universality class of a parity-conserving reaction-diffusion process. In this comment we suggest that this cannot happen, due to symmetry arguments. We also present…

Statistical Mechanics · Physics 2007-05-23 Marcio Argollo de Menezes , Ronald Dickman

We investigate the effects of quenched randomness on topological quantum phase transitions in strongly interacting two-dimensional systems. We focus first on transitions driven by the condensation of a subset of fractionalized…

Strongly Correlated Electrons · Physics 2021-03-03 Byungmin Kang , S. A. Parameswaran , Andrew C. Potter , Romain Vasseur , Snir Gazit

We introduce and study in two dimensions a new class of dry, aligning, active matter that exhibits a direct transition to orientational order, without the phase-separation phenomenology usually observed in this context. Characterized by…

Soft Condensed Matter · Physics 2018-06-27 B. Mahault , X. -c. Jiang , E. Bertin , Y. -q. Ma , A. Patelli , X. -q. Shi , H. Chaté

We experimentally study the critical properties of the non-equilibrium solid-liquid-like transition that takes place in vibrated granular matter. The critical dynamics is characterized by the coupling of the density field with the…

Statistical Mechanics · Physics 2015-06-23 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

Recently it has been demonstrated that the connectivity transition from microscopic connectivity to macroscopic connectedness, known as percolation, is generically announced by a cascade of microtransitions of the percolation order…

Disordered Systems and Neural Networks · Physics 2016-01-25 Malte Schröder , Wei Chen , Jan Nagler

We consider a system of charged particles moving on the real line driven by electrostatic interactions. Since we consider charges of both signs, collisions might occur in finite time. Upon collision, some of the colliding particles are…

Analysis of PDEs · Mathematics 2022-07-01 Patrick van Meurs , Mark A. Peletier , Norbert Pozar

The probability distributions of the order parameter for two models in the directed percolation universality class were evaluated. Monte Carlo simulations have been performed for the one-dimensional generalized contact process and the…

Statistical Mechanics · Physics 2012-09-11 P. H. L. Martins

We present a unifying, consistent, finite-size-scaling picture for percolation theory bringing it into the framework of a general, renormalization-group-based, scaling scheme for systems above their upper critical dimensions $d_c$.…

Statistical Mechanics · Physics 2017-05-16 Ralph Kenna , Bertrand Berche
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