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In this paper, we study the asymptotic variance of sample path averages for inhomogeneous Markov chains that evolve alternatingly according to two different $\pi$-reversible Markov transition kernels $P$ and $Q$. More specifically, our main…

Methodology · Statistics 2014-08-15 Florian Maire , Randal Douc , Jimmy Olsson

Taking the two-dimensional Ising model for example, short-time behavior of critical dynamics with a conserved order parameter is investigated by Monte Carlo simulations. Scaling behavior is observed, but the dynamic exponent $z$ is updating…

Statistical Mechanics · Physics 2009-11-07 B. Zheng

We use a bath of chaotic surface waves in water to mechanically and macroscopically mimic the thermal behavior of a short articulated chain with only nearest-neighbor interactions. The chaotic waves provide isotropic and random agitation to…

Soft Condensed Matter · Physics 2015-03-05 Kyle J. Welch , Clayton S. G. Kilmer , Eric I. Corwin

Based on large-scale Monte Carlo simulations on lattice the energy probability distribution functions are investigated for a large set of primary sequences in distinct models of copolymers at low temperatures below transitions to compacted…

Soft Condensed Matter · Physics 2007-05-23 Edward G. Timoshenko , Yuri A. Kuznetsov , Roman N. Basovsky

We present a comparative study of the rotational characteristics of various molecule-doped 4He clusters using quantum Monte Carlo techniques. The theoretical conclusions obtained from both zero and finite temperature Monte Carlo studies…

Atomic and Molecular Clusters · Physics 2009-11-07 Alexandra Viel , K. Birgitta Whaley

Using molecular dynamics simulations, we determine the linear and nonlinear viscoelastic properties of a model polymer melt in the unentangled regime. Several approaches are compared for the computation of linear moduli, including…

Materials Science · Physics 2007-05-23 Mihail Vladkov , J. -L. Barrat

Two coarse-grained models for polymer chains in dense glass-forming polymer melts are studied by computer simulation: the bond-fluctuation model on a simple cubic lattice, where a bond-length potential favors long bonds, is treated by…

Soft Condensed Matter · Physics 2007-05-23 K. Binder , J. Baschnagel , C. Bennemann , W. Paul

The kinetic Monte Carlo simulations are employed to study the proton conductivity for anhydrous heterocyclic based polymers. The proton transport is based on a two-step process called the Grotthuss mechanism. In the referring system the…

Materials Science · Physics 2015-06-23 T. Masłowski , A. Drzewiński , P. Ławniczak , J. Ulner

We propose a simple and reliable method to study the translational relaxation of 'hot' H atoms following their production by chemical mechanisms. The problem is relevant to PDR's, shocks, photospheres, atmospheric entry problems. We show…

Plasma Physics · Physics 2015-05-30 A. Panarese , S. Longo

We describe parallel Markov chain Monte Carlo methods that propagate a collective ensemble of paths, with local covariance information calculated from neighboring replicas. The use of collective dynamics eliminates multiplicative noise and…

Methodology · Statistics 2016-07-15 Charles Matthews , Jonathan Weare , Benedict Leimkuhler

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

Nobel metals that are deposited on a polymer surface exhibit surface diffusion and diffusion into the bulk. At the same time the metal atoms tend to form clusters because their cohesive energy is about two orders of magnitude higher than…

Plasma Physics · Physics 2011-12-30 L. Rosenthal , A. Filinov , M. Bonitz , V. Zaporojtchenko , F. Faupel

We discuss Hamiltonian Monte Carlo (HMC) and event-chain Monte Carlo (ECMC) for the one-dimensional chain of particles with harmonic interactions and benchmark them against local reversible Metropolis algorithms. While HMC achieves…

Statistical Mechanics · Physics 2024-11-19 Werner Krauth

Grand canonical Monte Carlo simulations are used to explore the metastable fluid-fluid coexistence curve of the modified Lennard-Jones model of globular proteins of ten Wolde and Frenkel (Science, v277, 1975 (1997)). Using both mixed-field…

Soft Condensed Matter · Physics 2009-11-10 D. L. Pagan , M. E. Gracheva , J. D. Gunton

We apply a variant of the Nose-Hoover thermostat to derive the Hamiltonian of a nonextensive system that is compatible with the canonical ensemble of the generalized thermostatistics of Tsallis. This microdynamical approach provides a…

Statistical Mechanics · Physics 2009-11-07 J. S. Andrade , M. P. Almeida , A. A. Moreira , G. A. Farias

We report on the linear viscoelastic properties of mixtures comprising multiarm star (as model soft colloids) and long linear chain homopolymers in a good solvent. In contrast to earlier works, we investigated symmetric mixtures (with a…

Soft Condensed Matter · Physics 2020-07-01 Daniele Parisi , Domenico Truzzolillo , Vishnu D. Deepak , Mario Gauthier , Dimitris Vlassopoulos

A new diagrammatic quantum Monte Carlo approach is proposed to deal with the imaginary time propagator involving both dynamic disorder (i.e., electron-phonon interactions) and static disorder of local or nonlocal nature in a unified and…

Materials Science · Physics 2026-04-15 Yu-Chen Wang , Yi Zhao

We investigate solid-solid and solid-liquid transitions of elastic flexible off-lattice polymers with Lennard-Jones monomer-monomer interaction and anharmonic springs by means of sophisticated variants of multicanonical Monte Carlo methods.…

Soft Condensed Matter · Physics 2010-07-23 Stefan Schnabel , Michael Bachmann , Wolfhard Janke

We applied a multicanonical algorithm (entropic sampling) to a two-dimensional and a three-dimensional Lennard-Jones system with quasicrystalline and glassy ground states. Focusing on the ability of the algorithm to locate low lying energy…

Statistical Mechanics · Physics 2009-10-30 Kamal K. Bhattacharya , James P. Sethna

We introduce an exactly solvable statistical-mechanical model of the hydration of non-polar compounds, based on grouping water molecules in clusters where hydrogen bonds and isotropic interactions occur; interactions between clusters are…

Statistical Mechanics · Physics 2009-11-07 Pierpaolo Bruscolini , Lapo Casetti