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We perform Monte-Carlo simulations to analyse the structure and microscopic dynamics of a viscous Lennard-Jones liquid coupled to a quenched reference configuration of the same liquid. The coupling between the two replicas is introduced via…

Statistical Mechanics · Physics 2015-10-20 Andrea Ninarello , Ludovic Berthier , Daniele Coslovich

A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the…

Applications · Statistics 2014-09-01 Issac Shams , Saeede Ajorlou , Kai Yang

I give an overview of rare event simulation techniques to generate dynamical pathways across high free energy barriers. The methods on which I will concentrate are the reactive flux approach, transition path sampling, (replica-exchange)…

Statistical Mechanics · Physics 2015-03-17 Titus S. van Erp

We introduce a direct Boltzmann inversion method to infer the interaction potential in particle systems using as input particle configurations generated at an arbitrary state point of the system. Unlike iterative Boltzmann inversion, the…

Statistical Mechanics · Physics 2026-05-25 Olivier Coquand , Davide Paolino , Ludovic Berthier

We study a binary Lennard-Jones system below the glass transition with molecular dynamics simulations. To investigate the dynamics we focus on events ("jumps") where a particle escapes the cage formed by its neighbors. Using single particle…

Statistical Mechanics · Physics 2009-11-10 K. Vollmayr-Lee

We describe a Monte Carlo procedure which allows sampling of the disjoint configuration spaces associated with crystalline and fluid phases, within a single simulation. The method utilises biased sampling techniques to enhance the…

Statistical Mechanics · Physics 2009-10-31 N. B. Wilding , A. D. Bruce

In the current work we revisit the pair-potential recently proposed by Wang et al. (Phys. Chem. Chem. Phys. 10624, 22, 2020) as a well defined finite-range alternative to the widely used Lennard-Jones interaction model. The advantage of…

Materials Science · Physics 2024-07-23 Omar-Farouk Adesida , Sebastian Havens , Livia B. Partay

A quantitative model of the mobility of functionalized particles at the interface is pivotal to understanding important systems in biology and nanotechnology. In this work, we investigate the emerging dynamics of particles anchored through…

Soft Condensed Matter · Physics 2024-06-19 Janna Lowensohn , Laurie Stevens , Daniel Goldstein , Bortolo Matteo Mognetti

Molecular dynamics simulations are performed for a finite non-relativistic system of particles with Lennard-Jones potential. We study the effect of liquid-gas mixed phase on particle number fluctuations in coordinate subspace. A metastable…

High Energy Physics - Phenomenology · Physics 2023-05-30 Volodymyr A. Kuznietsov , Oleh Savchuk , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Mark I. Gorenstein , Horst Stoecker

This paper gives an overview of the particle transport theory essentials, the basics of particle-material interaction simulation, physical quantities needed to simulate particle transport and interactions in materials, Monte Carlo…

Accelerator Physics · Physics 2020-06-18 Nikolai Mokhov

We briefly review the principles, mathematical bases, numerical shortcuts and applications of fast random walk (FRW) algorithms. This Monte Carlo technique allows one to simulate individual trajectories of diffusing particles in order to…

Computational Physics · Physics 2013-05-01 Denis Grebenkov

A variant of the Direct Simulation Monte Carlo method is used to study the behavior of a granular gas, in two and three dimensions, under varying density, restitution coefficient, and inelasticity regimes, for realistic vibrating wall…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Welles A. M. Morgado , Eduardo R. Mucciolo

A method for computing the thermopower in interacting systems is proposed. This approach, which relies on Monte Carlo simulations, is illustrated first for a diatomic chain of hard-point elastically colliding particles and then in the case…

Statistical Mechanics · Physics 2015-10-01 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

The phase diagram of the prototypical two-dimensional Lennard-Jones system, while extensively investigated, is still debated. In particular, there are controversial results in the literature as concern the existence of the hexatic phase and…

Statistical Mechanics · Physics 2020-12-08 Yan-Wei Li , Massimo Pica Ciamarra

Atypical, rare trajectories of dynamical systems are important: they are often the paths for chemical reactions, the haven of (relative) stability of planetary systems, the rogue waves that are detected in oil platforms, the structures that…

Statistical Mechanics · Physics 2012-04-12 Cristian Giardina , Jorge Kurchan , Vivien Lecomte , Julien Tailleur

Molecular dynamics simulations are widely used to investigate nucleation in first-order phase transitions. Brute-force simulations, though popular, are limited to conditions of high metastability, where the critical cluster and the…

Chemical Physics · Physics 2026-02-10 Thomas Philippe , Yijian Wu , Aymane Graini

In this work we investigate the transient solidification of a Lennard-Jones liquid using non-equilibrium molecular dynamics simulations and continuum heat transfer theory. The simulations are performed in slab-shaped boxes, where a cold…

Mesoscale and Nanoscale Physics · Physics 2020-10-26 Francesc Font , William Micou , Fernando Bresme

Understanding the spatio-temporal evolution of radiolytic species created by high-energy electrons in water underpins key applications from radiotherapy and nuclear safety to environmental processing and electron microscopy. Here, using the…

Chemical Physics · Physics 2026-01-06 Charlie Fynn Perkins , Marcus Webb , Fred J. Currell

Large molecular dynamics simulations (millions of atoms, tens of microseconds, thousands of processors) hit the strong scalability wall: simulation on twice as many processors does not take half the time. Inspired by large N-body space…

Numerical Analysis · Computer Science 2013-10-21 Jana Pazúriková , Luděk Matyska

We study a system of diffusing point particles in which any triplet of particles reacts and is removed from the system when the relative proximity of the constituent particles satisfies a predefined condition. Proximity-based reaction…

Numerical Analysis · Mathematics 2025-04-07 Taylor Kearney , Ricardo Ruiz-Baier , Mark B. Flegg