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We study critical behavior in the classical cubic dimer model (CDM) in the presence of a finite density of monomers. With attractive interactions between parallel dimers, the monomer-free CDM exhibits an unconventional transition from a…

Statistical Mechanics · Physics 2014-01-14 G. J. Sreejith , Stephen Powell

We study critical behavior of the diluted 2D Ising model in the presence of disorder correlations which decay algebraically with distance as $\sim r^{-a}$. Mapping the problem onto 2D Dirac fermions with correlated disorder we calculate the…

Disordered Systems and Neural Networks · Physics 2016-06-23 Maxym Dudka , Andrei A. Fedorenko , Viktoria Blavatska , Yurij Holovatch

We study the 2D static spin-pseudospin model equivalent to the dilute frustrated antiferromagnetic Ising model with charge impurities. We present the results of classical Monte Carlo simulation on a square lattice with periodic boundary…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , A. A. Chikov , Yu. D. Panov

We develop a new formalism for the treatment of gravitational backreaction in the cosmological setting. The approach is inspired by projective techniques in non-equilibrium statistical mechanics. We employ group-averaging with respect to…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Charis Anastopoulos

A consistent local approach to the study of interacting relativistic fermion systems with a condensation of bare particles in its ground or vacuum state, which may has a finite matter density, is developed. The attention is payed to some of…

High Energy Physics - Theory · Physics 2011-08-04 S. Ying

We compute the critical exponents of three-dimensional magnets with strong dipole-dipole interactions using the functional renormalization group (FRG) within the local potential approximation including the wave function renormalization…

Statistical Mechanics · Physics 2026-05-15 Georgii Kalagov , Nikita Lebedev

We study fluctuations of mean-field interacting particle systems around their McKean--Vlasov limit. Our main result provides a uniform-in-time quantitative central limit theorem for the fluctuation process, with convergence rate of order…

Probability · Mathematics 2026-05-06 Solesne Bourguin , Konstantinos Spiliopoulos

Friction is central to the motion of active (self-propelled) objects such as bacteria, animals, and robots. While in a viscous fluid friction is described by Stokes's law, objects in contact with other solid bodies are often governed by…

Soft Condensed Matter · Physics 2024-11-12 Alexander P. Antonov , Lorenzo Caprini , Anton Ldov , Christian Scholz , Hartmut Löwen

We study the thermal and electric transport of a fluid of interacting Dirac fermions using a Boltzmann approach. We include Coulomb interactions, a dilute density of charged impurities and the presence of a magnetic field to describe both…

Strongly Correlated Electrons · Physics 2009-11-13 Markus Mueller , Lars Fritz , Subir Sachdev

The macroscopic fluctuation theory is a powerful tool to characterise the large scale dynamical properties of diffusive systems, both in- and out-of-equilibrium. It relies on an action formalism in which, at large scales, the dynamics is…

Statistical Mechanics · Physics 2025-09-16 Théotim Berlioz , Olivier Bénichou , Aurélien Grabsch

The probability distribution (PD) of spin configurations in kinetic Ising models has been cast in the form of the canonical Boltzmann PD with a time-dependent effective Hamiltonian (EH). It has been argued that in systems with extensive…

Statistical Mechanics · Physics 2025-06-10 V. I. Tokar

Motivated by the physics of graphene, we consider a model of N species of 2+1 dimensional four-component massless Dirac fermions interacting through a 3D instantaneous Coulomb interaction. We show that in the limit of infinitely strong…

Strongly Correlated Electrons · Physics 2007-07-11 D. T. Son

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

Chemical Physics · Physics 2012-12-20 Maria Bruna , S. Jonathan Chapman

We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

The first-principles-based effective Hamiltonian scheme provides one of the most accurate modeling technique for large-scale structures, especially for ferroelectrics. However, the parameterization of the effective Hamiltonian is…

The far-from-equilibrium dynamics of generic interacting quantum systems is characterized by a handful of universal guiding principles, among them the ballistic spreading of initially local operators. Here, we show that in certain…

Statistical Mechanics · Physics 2022-01-26 Johannes Feldmeier , Michael Knap

Facilitated or kinetically constrained spin models (KCSM) are a class of interacting particle systems reversible w.r.t. to a simple product measure. Each dynamical variable (spin) is re-sampled from its equilibrium distribution only if the…

Probability · Mathematics 2012-10-04 Nicoletta Cancrini , Fabio Martinelli , Cyril Roberto , Cristina Toninelli

We introduce a high dimensional symplectic map, modeling a large system consisting of weakly interacting chaotic subsystems, as a toy model to analyze the interplay between single-particle chaotic dynamics and particles interactions in…

Chaotic Dynamics · Physics 2011-11-10 Massimo Falcioni , Luigi Palatella , Simone Pigolotti , Lamberto Rondoni , Angelo Vulpiani

We have performed the dynamical system analysis to obtain the critical point in which, the value of the geometric and dynamical parameters satisfy the late-time cosmic behavior of the Universe. At the outset, the modified Friedmann…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Rahul Bhagat , B. Mishra

Based on two dissipative models, universal asymptotic behavior of flow equations for Hamiltonians is found and discussed. Universal asymptotic behavior only depends on fundamental bath properties but not on initial system parameters, and…

Statistical Mechanics · Physics 2009-11-07 T. Stauber
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