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One key factor that limits the predictive power of molecular dynamics simulations is the accuracy and transferability of the input force field. Force fields are challenged by heterogeneous environments, where electronic responses give rise…

Chemical Physics · Physics 2016-09-13 Flaviu S. Cipcigan , Vlad P. Sokhan , Jason Crain , Glenn J. Martyna

By applying a hybrid Molecular dynamics and mesoscopic simulation technique, we study the classic convection-diffusion problem of Taylor dispersion for colloidal discs in confined flow. We carefully consider the time and length-scales of…

Soft Condensed Matter · Physics 2009-03-23 Jimaan Sané , Ard A. Louis , Johan Padding

We study swelling and structural properties of ionic microgel suspensions within a comprehensive coarse-grained model that combines the polymeric and colloidal natures of microgels as permeable, compressible, charged spheres governed by…

Soft Condensed Matter · Physics 2018-06-07 Tyler J. Weyer , Alan R. Denton

The primary objective of this work is to develop coarse-graining schemes for stochastic many-body microscopic models and quantify their effectiveness in terms of a priori and a posteriori error analysis. In this paper we focus on stochastic…

Numerical Analysis · Mathematics 2007-05-23 Markos A. Katsoulakis , Petr Plechac , Luc Rey-Bellet , Dimitrios K. Tsagkarogiannis

While active matter physics has traditionally focused on particles with overdamped dynamics, recent years have seen an increase of experimental and theoretical work on active systems with inertia. This also leads to an increased need for…

Statistical Mechanics · Physics 2026-02-13 Michael te Vrugt

Granular systems present surprisingly complicated dynamics. In particular, nonlinear interactions and energy dissipation play important roles in these dynamics. Usually, constant coefficients of restitution are introduced phenomenologically…

Soft Condensed Matter · Physics 2014-08-29 Italo'Ivo Lima Dias Pinto , Alexandre Rosas , Katja Lindenberg

A fundamental question in nonequilibrium statistical physics is whether effective equilibrium behavior can emerge at coarse-grained scales in strongly driven systems. Here, we investigate this question in the context of human mobility by…

Physics and Society · Physics 2026-03-24 Lei Dong

Active systems, or active matter, are self-driven systems which live, or function, far from equilibrium - a paradigmatic example which we focus on here is provided by a suspension of self-motile particles. Active systems are far from…

Soft Condensed Matter · Physics 2015-05-19 Giuseppe Gonnella , Davide Marenduzzo , Antonio Suma , Adriano Tiribocchi

Conjugated organic molecules play a central role in a wide range of optoelectronic devices, including organic light-emitting diodes, organic field-effect transistors, and organic solar cells. A major bottleneck in the computational design…

Several recently proposed semi--automatic and fully--automatic coarse--graining schemes for polymer simulations are discussed. All these techniques derive effective potentials for multi--atom units or super--atoms from atomistic…

Soft Condensed Matter · Physics 2007-05-23 Roland Faller

Coarse-graining is a standard method of extracting a simple Markov process from a more complicated one by identifying states. Here we extend coarse-graining to open Markov processes. An "open" Markov process is one where probability can…

Mathematical Physics · Physics 2019-10-16 John C. Baez , Kenny Courser

Stochastic dynamics, such as molecular dynamics, are important in many scientific applications. However, summarizing and analyzing the results of such simulations is often challenging, due to the high dimension in which simulations are…

Dynamical Systems · Mathematics 2023-09-11 David Aristoff , Mats Johnson , Danny Perez

Fluctuating hydrodynamics provides a quantitative, large-scale description of many-body systems in terms of smooth variables, with microscopic details entering only through a small set of transport coefficients. Although this framework has…

Statistical Mechanics · Physics 2026-01-06 Soumyabrata Saha , Sandeep Jangid , Thibaut Arnoulx de Pirey , Juliane U. Klamser , Tridib Sadhu

The statistical-physical study of granular matter is essential to understand, from a fundamental point of view, the many different phenomena emerging in these classical many-body systems. Under rapid-flow conditions, granular materials…

Soft Condensed Matter · Physics 2023-10-23 Alberto Megías

Tissue dynamics and collective cell motion are crucial biological processes. Their biological machinery is mostly known, and simulation models such as the "active vertex model" (AVM) exist and yield reasonable agreement with experimental…

Soft Condensed Matter · Physics 2023-11-16 Gloria Triguero-Platero , Falko Ziebert , Luis L. Bonilla

Algebraic multigrid (AMG) methods derive their optimal efficiency from the interplay between a relaxation process and a corresponding coarse grid correction. In many standard formulations, relaxation and coarse-graining are analyzed and…

Numerical Analysis · Mathematics 2026-03-30 Rayan Moussa , Karsten Kahl

We propose to couple a state-resolved rovibrational coarse-grain model to a stochastic particle method for simulating internal energy excitation and dissociation of a molecular gas. An existing coarse-grain model based on the NASA Ames ab…

Chemical Physics · Physics 2018-11-06 Erik Torres , Thierry E. Magin

Developing effective descriptions of the microscopic dynamics of many physical phenomena can both dramatically enhance their computational exploration and lead to a more fundamental understanding of the underlying physics. Previously, an…

Statistical Mechanics · Physics 2015-05-13 Benjamin E. Sonday , Mikko Haataja , Ioannis G. Kevrekidis

We investigate nonequilibrium steady-state dynamics in both continuous- and discrete-state stochastic processes. Our analysis focuses on planar diffusion dynamics and their coarse-grained approximations by discrete-state Markov chains.…

Statistical Mechanics · Physics 2026-05-12 Ramón Nartallo-Kaluarachchi , Renaud Lambiotte , Alain Goriely

Mathematical modelling of biological population dynamics often involves proposing high fidelity discrete agent-based models that capture stochasticity and individual-level processes. These models are often considered in conjunction with an…

Dynamical Systems · Mathematics 2023-12-20 Daniel J. VandenHeuvel , Pascal R. Buenzli , Matthew J. Simpson