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A central aim of statistical mechanics is to establish connections between a system's microscopic fluctuations and its macroscopic response to a perturbation. For non-equilibrium transport properties, this amounts to establishing Green-Kubo…

Statistical Mechanics · Physics 2024-11-28 Anna T. Bui , Stephen J. Cox

We have developed a Green-Kubo relation that enables accurate calculations of friction at solid-liquid interfaces directly from equilibrium molecular dynamics (MD) simulations and that provides a pathway to bypass the time-scale limitations…

Statistical Mechanics · Physics 2016-08-08 Kai Huang , Izabela Szlufarska

In this paper, we propose a new derivation for the Green-Kubo relationship for the liquid-solid friction coefficient, characterizing hydrodynamic slippage at a wall. It is based on a general Langevin approach for the fluctuating wall…

Statistical Mechanics · Physics 2015-06-16 Lydéric Bocquet , Jean-Louis Barrat

Viscosity calculation from equilibrium molecular dynamics (MD) simulations relies on the traditional Green-Kubo (GK) framework, which integrates the stress autocorrelation function (SACF) over time. While the formalism is exact in the…

Soft Condensed Matter · Physics 2026-03-13 Akash K. Meel , Santosh Mogurampelly

Nanofluidics shows great promise for energy conversion and desalination applications. The performance of nanofluidic devices is controlled by liquid-solid friction, quantified by the Navier friction coefficient (FC). Despite decades of…

Soft Condensed Matter · Physics 2021-11-29 Haruki Oga , Takeshi Omori , Cecilia Herrero , Samy Merabia , Laurent Joly , Yasutaka Yamaguchi

We show how to evaluate mobility profiles, characterizing the transport of confined fluids under a perturbation, from equilibrium molecular simulations. The correlation functions derived with the Green-Kubo formalism are difficult to sample…

Chemical Physics · Physics 2020-08-26 Etienne Mangaud , Benjamin Rotenberg

The fundamental understanding of friction of liquids on solid surfaces remains one of the key knowledge gaps in the transport of fluids. While the standard perspective emphasizes the role of wettability and commensurability, recent works…

Soft Condensed Matter · Physics 2024-03-28 Mathieu Lizée , Baptiste Coquinot , Guilhem Mariette , Alessandro Siria , Lydéric Bocquet

Nanofluids; dispersions of nanometer-sized particles in a liquid medium; have been proposed for a wide variety of thermal management applications. It is known that a solid-like nanolayer of liquid of typical thickness 0.5-1 nm surrounding…

Soft Condensed Matter · Physics 2022-08-16 Reza Rabani , Mohammad Hassan Saidi , Laurent Joly , Samy Merabia , Ali Rajabpour

Molecular dynamic (MD) simulations are applied to investigate the dependency of the kinetic friction coefficient on the temperature at the nano-scale. The system is comprised of an aluminum spherical particle consisting of 32000 atoms in an…

Data Analysis, Statistics and Probability · Physics 2023-11-08 Rasoul Kheiri , Alexey A Tsukanov

We propose an approach that links density functional theory (DFT) and molecular dynamics (MD) simulation to study fluid behavior in nanopores in contact with bulk (macropores). It consists of two principal steps. First, the theoretical…

Computational Physics · Physics 2021-07-06 Mariia Vaganova , Irina Nesterova , Yuriy Kanygin , Andrey Kazennov , Aleksey Khlyupin

We perform equilibrium molecular dynamics simulations for nanoscale fluids confined between two parallel walls and investigate how the autocorrelation function of force acting on one wall is related to the slip length. We demonstrate that…

Statistical Mechanics · Physics 2020-04-08 Hiroyoshi Nakano , Shin-ichi Sasa

Atomistic simulations are powerful tools for investigating tribological phenomena at a fundamental level; however, simulating a tribological system remains challenging due to the multiscale nature of frictional processes. Recently, we…

Materials Science · Physics 2025-11-25 Alberto Pacini , Seiji Kajita , Gabriele Losi , Maria Clelia Righi

We propose a multiscale computational method for thin-layer flows of complex fluids, termed the synchronized molecular dynamics (SMD) method, which directly couples local molecular dynamics (MD) simulations with a macroscopic lubrication…

Fluid Dynamics · Physics 2026-04-28 Shugo Yasuda , Kotaro Oda , Fumito Muragaki , Yuta Taketa , Masashi Iwayama , Tomohide Ina

Friction at water-carbon interfaces remains a major puzzle with theories and simulations unable to explain experimental trends in nanoscale waterflow. A recent theoretical framework -- quantum friction (QF)-- proposes to resolve these…

Soft Condensed Matter · Physics 2023-01-10 Anna T. Bui , Fabian L. Thiemann , Angelos Michaelides , Stephen J. Cox

The friction and diffusion coefficients of rigid spherical colloidal particles dissolved in a fluid are determined from velocity and force autocorrelation functions by mesoscale hydrodynamic simulations. Colloids with both slip and no-slip…

Soft Condensed Matter · Physics 2016-03-10 Mario Theers , Elmar Westphal , Gerhard Gompper , Roland G. Winkler

We study the conformational dynamics within homo-polymer globules by solvent-implicit Brownian dynamics simulations. A strong dependence of the internal chain dynamics on the Lennard-Jones cohesion strength {\epsilon} and the globule size…

Soft Condensed Matter · Physics 2019-08-15 Thomas R. Einert , Charles E. Sing , Alfredo Alexander-Katz , Roland R. Netz

This study addresses the influence of internal liquid dynamics on liquid-solid friction. Taking advantage of the wide range of relaxation timescales in supercooled liquids, we use a tuning-fork-based AFM to measure the slippage of…

Soft Condensed Matter · Physics 2024-02-05 Mathieu Lizée , Guilhem Mariette , Baptiste Coquinot , Lydéric Bocquet , Alessandro Siria

In this work we develop theoretical and numerical methods of calculation of a dynamic friction coefficient. The theoretical method is based on an adiabatic approximation which allows us to express the dynamic friction coefficient in terms…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Servantie , P. Gaspard

Equilibrium molecular dynamics simulations, in combination with the Green-Kubo (GK) method, have been extensively used to compute the thermal conductivity of liquids. However, the GK method relies on an ambiguous definition of the…

Computational Physics · Physics 2020-09-30 Bingqing Cheng , Daan Frenkel

Fundamental mechanisms of energy storage, corrosion, sensing, and multiple biological functionalities are directly coupled to electrical processes and ionic dynamics at solid-liquid interfaces. In many cases, these processes are spatially…

Materials Science · Physics 2017-01-25 Liam Collins , Jason Kilpatrick , Sergei V. Kalinin , Brian J. Rodriguez
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