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Related papers: A kinetic-Monte Carlo perspective on active matter

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Kinetic equations model distributions of particles in position-velocity phase space. Often, one is interested in studying the long-time behavior of particles in high-collisional regimes in which an approximate (advection)-diffusion model…

Numerical Analysis · Mathematics 2021-07-09 Emil Løvbak , Giovanni Samaey , Stefan Vandewalle

We describe collective-move Monte Carlo algorithms designed to approximate the overdamped dynamics of self-assembling nanoscale components equipped with strong, short-ranged and anisotropic interactions. Conventional Monte Carlo simulations…

Statistical Mechanics · Physics 2012-04-16 Stephen Whitelam

The Markov chain Monte Carlo (MCMC) method is the computational workhorse for Bayesian inverse problems. However, MCMC struggles in high-dimensional parameter spaces, since its iterates must sequentially explore the high-dimensional space.…

Numerical Analysis · Mathematics 2016-09-06 Paul G. Constantine , Carson Kent , Tan Bui-Thanh

We propose a Multi-Cell Monte Carlo algorithm, or (MC)^2, for predicting stable phases in chemically complex crystalline systems. Free atomic transfer among cells is achieved via the application of the lever rule, where an assigned molar…

Materials Science · Physics 2018-11-13 Changning Niu , You Rao , Wolfgang Windl , Maryam Ghazisaeidi

Active work measures how far the local self-forcing of active particles translates into real motion. Using Population Monte Carlo methods, we investigate large deviations in the active work for repulsive active Brownian disks. Minimizing…

Statistical Mechanics · Physics 2019-02-12 Takahiro Nemoto , Étienne Fodor , Michael E. Cates , Robert L. Jack , Julien Tailleur

The nature of freezing and melting transitions for a system of hard disks in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling analysis of various thermodynamic…

Statistical Mechanics · Physics 2009-10-31 W. Strepp , S. Sengupta , P. Nielaba

We present some considerations about the parallel implementations of the kinetic (Monte Carlo) version of the Ising model. In some cases the equilibrium distribution of the parallel version does not present the symmetry breaking phenomenon…

Statistical Mechanics · Physics 2025-11-13 Franco Bagnoli , Tommaso Matteuzzi

We present a concurrent Monte Carlo (MC) - molecular dynamics (MD) approach to modeling of matter response to excitation of its electronic system. The two methods are combined on-the-fly at each time step in one code, TREKIS-4. The MC model…

Other Condensed Matter · Physics 2023-02-17 N. Medvedev , F. Akhmetov , R. A. Rymzhanov , R. Voronkov , A. E. Volkov

To study the role of torque in motility-induced phase separation (MIPS), we simulate a system of self-propelled particles whose shape varies smoothly from isotropic (disks/spheres) to weakly elongated (rods). We construct the phase diagrams…

Statistical Mechanics · Physics 2019-05-10 Robin van Damme , Jeroen Rodenburg , René van Roij , Marjolein Dijkstra

Recent years have seen a growing interest in the thermodynamic cost of dissipative structures formed by active particles. Given the strong finite-size effects of such systems, it is essential to develop efficient numerical approaches that…

Soft Condensed Matter · Physics 2025-03-24 Ki-Won Kim , Euijoon Kwon , Yongjoo Baek

Monte Carlo calculations of the irreducible particle-particle interaction on a two-leg Hubbard ladder doped near half-filling are reported. As the temperature is lowered, this interaction develops structure in momentum space similar to the…

Superconductivity · Physics 2016-08-31 N. Bulut , T. Dahm , D. J. Scalapino

Understanding how microscopic motility shapes emergent collective behaviors is a challenging task in active matter, especially when self-propulsion is regulated by external cues or via quorum-sensing interactions. To address this problem,…

Statistical Mechanics · Physics 2026-04-13 Alberto Dinelli , Pietro Luigi Muzzeddu

In this work, we introduce a simple modification of the Monte Carlo algorithm, which we call step Monte Carlo (sMC). The sMC approach allows to simulate processes far from equilibrium and obtain information about the dynamic properties of…

Other Condensed Matter · Physics 2023-12-15 Dariusz Sztenkiel

A real-time path integral Monte Carlo approach is developed to study the dynamics in a many-body quantum system until reaching a nonequilibrium stationary state. The approach is based on augmenting an exact reduced equation for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Lothar Mühlbacher , Eran Rabani

Phase separation plays a central role in the emergence of novel functionalities of correlated electron materials. The structure of the mixed-phase states depends strongly on the nonequilibrium phase-separation dynamics, which has so far yet…

Strongly Correlated Electrons · Physics 2023-03-21 Sheng Zhang , Puhan Zhang , Gia-Wei Chern

We simulate structural phase behavior of polymer-grafted colloidal particles by molecular Monte Carlo technique. Interparticle potential, which has a finite repulsive square-step outside a rigid core of the colloid, was previously confirmed…

Soft Condensed Matter · Physics 2015-03-19 Yuki Norizoe , Toshihiro Kawakatsu

We introduce a Path Integral Monte Carlo (PIMC) approach that uses the angular momentum representation for the description of interacting rotor systems. Such a choice of representation allows the calculation of momentum properties without…

Chemical Physics · Physics 2025-10-22 Estêvão de Oliveira , Muhammad Shaeer Moeed , Pierre-Nicholas Roy

This work is dedicated to the study of the discrete version of the Maier-Saupe model in the presence of competing interactions. The competition between interactions favoring different orientational ordering produces a rich phase diagram…

Statistical Mechanics · Physics 2017-07-24 P. F. Bienzobaz , Na Xu , Anders W. Sandvik

We introduce a model of long-range interacting particles evolving under a stochastic Monte Carlo dynamics, in which possible increase or decrease in the values of the dynamical variables is accepted with preassigned probabilities. For…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Thierry Dauxois , Stefano Ruffo

We use improved Monte-Carlo algorithms to study the antiferromagnetic 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds. The finite-temperature phase diagram is divided by a…

Statistical Mechanics · Physics 2009-02-17 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke
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