Year: 2017
Type: article
Abstract: Self-diffusion in a two-dimensional simple fluid is investigated by both analytical and numerical means. We investigate the anomalous aspects of self-diffusion in two-dimensional fluids with regards to the mean square displacement, the time-dependent diffusion coefficient, and the velocity autocorrelation function (VACF) using a consistency equation relating these quantities. We numerically confirm the consistency equation by extensive molecular dynamics simulations for finite systems, corroborate earlier results indicating that the kinematic viscosity approaches a finite, non-vanishing value in the thermodynamic limit, and establish the finite size behavior of the diffusion coefficient. We obtain the exact solution of the consistency equation in the thermodynamic limit and use this solution to determine the large time asymptotics of the mean square displacement, the diffusion coefficient, and the VACF. An asymptotic decay law of the VACF resembles the previously known self-consistent form, , however with a rescaled time.
Source: New Journal of Physics
Authors: Bongsik Choi, Kyeong Hwan Han, Changho Kim, Peter Talkner, Akinori Kidera, Eok Kyun Lee
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,610
Awards: G1286236842, G1799333409, Enhanced structural sampling for allosteric drug design, G3083819904, G3136028036, G419881185, G42916606, G4501827968, G498139845, STOCHASTIC SIMULATION OF COMPLEX FLUID FLOWS, G6652958823, G6691905552, Mechanism of signal transduction regulated by the interactions to cell membrane, G969889393
OpenAlex ID: W2754579286