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Finite-size effects are challenging in molecular dynamics simulations because they have significant effects on computed static and dynamic properties, in particular diffusion constants, friction coefficients and time- or frequency-dependent…

Soft Condensed Matter · Physics 2023-02-20 Laura Scalfi , Domenico Vitali , Henrik Kiefer , Roland R. Netz

By performing molecular dynamics simulations with up to 132 million coarse-grained particles in half-micron sized boxes, we show that hydrodynamics quantitatively explains the finite-size effects on diffusion of lipids, proteins, and carbon…

Soft Condensed Matter · Physics 2018-07-04 Martin Vögele , Jürgen Köfinger , Gerhard Hummer

We use Lattice-Boltzmann and analytical calculations to investigate transient hydrodynamic finite size effects induced by the use of periodic boundary conditions in simulations at the molecular, mesoscopic or continuum levels of…

Computational Physics · Physics 2017-06-28 Adelchi J. Asta , Maximilien Levesque , Rodolphe Vuilleumier , Benjamin Rotenberg

We review and discuss recent advances in the simulation of bulk critical phenomena in model fluids. In particular we emphasise the extensions to finite-size scaling theory needed to cope with the lack of symmetry between coexisting fluid…

Statistical Mechanics · Physics 2009-10-28 N. B. Wilding

Understanding the coupling between flow, hydrodynamic transport and dispersion of colloids with finite-size in porous media is a long-standing challenge. This problem is relevant for a broad range of natural and engineered subsurface…

Fluid Dynamics · Physics 2025-03-11 Mirko Residori , Simon Praetorius , Pietro de Anna , Axel Voigt

In the absence of advection, confined diffusion characterizes transport in many natural and artificial devices, such as ionic channels, zeolites, and nanopores. While extensive theoretical and numerical studies on this subject have produced…

Soft Condensed Matter · Physics 2017-09-19 Xiang Yang , Chang Liu , Yunyun Li , Fabio Marchesoni , Peter Hänggi , H. P. Zhang

We present a comprehensive theoretical study of finite size effects in the relaxation dynamics of glass-forming liquids. Our analysis is motivated by recent theoretical progress regarding the understanding of relevant correlation length…

Statistical Mechanics · Physics 2012-09-12 Ludovic Berthier , Giulio Biroli , Daniele Coslovich , Walter Kob , Cristina Toninelli

We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the…

Statistical Mechanics · Physics 2009-11-11 Subir K. Das , Michael E. Fisher , Jan V. Sengers , Juergen Horbach , Kurt Binder

We use interface-resolved simulations to study finite-size effects in turbulent channel flow of neutrally-buoyant spheres. Two cases with particle sizes differing by a factor of 2, at the same solid volume fraction of 20% and bulk Reynolds…

Fluid Dynamics · Physics 2021-02-23 Pedro Costa , Francesco Picano , Luca Brandt , Wim-Paul Breugem

Finite-size effects in systems with diverging characteristic lengthscale have been addressed via state-of-the-art Monte Carlo and molecular dynamics simulations of various models exhibiting solid-solid, liquid-liquid and vapor-liquid…

Statistical Mechanics · Physics 2018-03-09 Subir K. Das , Sutapa Roy , Suman Majumder , Shaista Ahmad

We present the results of a molecular dynamics computer simulation in which we investigate the dynamics of silica. By considering different system sizes, we show that in simulations of the dynamics of this strong glass former surprisingly…

Statistical Mechanics · Physics 2009-10-28 J. Horbach , W. Kob , K. Binder , C. A. Angell

The influence of periodic and random surface textures on the flow structure and effective slip length in Newtonian fluids is investigated by molecular dynamics (MD) simulations. We consider a situation where the typical pattern size is…

Soft Condensed Matter · Physics 2011-11-24 Nikolai V. Priezjev

We study diffusion of colloids on a fluid-fluid interface using particle simulations and fluctuating hydrodynamics. Diffusion on a two-dimensional interface with three-dimensional hydrodynamics is known to be anomalous, with the collective…

Statistical Mechanics · Physics 2018-08-01 R. P. Peláez , F. Balboa Usabiaga , S. Panzuela , Q. Xiao , R. Delgado-Buscalioni , A. Donev

The behavior of a confined spherical symmetric anomalous fluid under high external pressure was studied with Molecular Dynamics simulations. The fluid is modeled by a ore-softened potential with two characteristic length scales, which in…

Soft Condensed Matter · Physics 2014-08-21 José Rafael Bordin , Leandro B. Krott , Marcia C. B. Barbosa

Inferring properties of macroscopic solutions from molecular simulations is complicated by the limited size of systems that can be feasibly examined with a computer. When long-ranged electrostatic interactions are involved, the resulting…

Statistical Mechanics · Physics 2018-08-14 Stephen J. Cox , Phillip L. Geissler

Hydrodynamic interactions between particles confined in a liquid-filled linear channel are known to be screened beyond a distance comparable to the channel width. Using a simple analytical theory and lattice-Boltzmann simulations, we show…

Soft Condensed Matter · Physics 2010-07-06 Derek Frydel , Haim Diamant

We study the liquid-vapor phase behaviour of a polydisperse fluid using grand canonical simulations and moment free energy calculations. The strongly nonlinear variation of the fractional volume of liquid across the coexistence region…

Statistical Mechanics · Physics 2009-11-11 Nigel B. Wilding , Peter Sollich , Moreno Fasolo

Recent Monte Carlo simulation studies of a Lennard-Jones fluid confined to a mesoscopic slit-pore have reported evidence for ``critical depletion'' in the pore local number density near the liquid-vapour critical point. In this note we…

Statistical Mechanics · Physics 2009-10-31 Nigel B. Wilding , Martin Schoen

We study the influence of the boundary conditions at the solid liquid interface on diffusion in a confined fluid. Using an hydrodynamic approach, we compute numerical estimates for the diffusion of a particle confined between two planes.…

Materials Science · Physics 2015-06-25 Anthony Saugey , Laurent Joly , Christophe Ybert , Jean-Louis Barrat , Lyderic Bocquet

The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear…

Mathematical Physics · Physics 2017-03-23 Maria Bruna , S. Jonathan Chapman
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