Nature of self-diffusion in two-dimensional fluids
| Autor: | Peter Talkner, Akinori Kidera, Kyeong Hwan Han, Bongsik Choi, Changho Kim, Eok Kyun Lee |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Self-diffusion 010304 chemical physics Statistical Mechanics (cond-mat.stat-mech) Fluids & Plasmas Mathematical analysis Autocorrelation General Physics and Astronomy FOS: Physical sciences Condensed Matter - Soft Condensed Matter 01 natural sciences Mean squared displacement Molecular dynamics Exact solutions in general relativity Consistency (statistics) 0103 physical sciences Thermodynamic limit Physical Sciences Soft Condensed Matter (cond-mat.soft) Diffusion (business) 010306 general physics Condensed Matter - Statistical Mechanics |
| Zdroj: | New Journal of Physics, vol 19, iss 12 Choi, B; Han, KH; Kim, C; Talkner, P; Kidera, A; & Lee, EK. (2017). Nature of self-diffusion in two-dimensional fluids. New Journal of Physics, 19(12). doi: 10.1088/1367-2630/aa997d. Lawrence Berkeley National Laboratory: Retrieved from: http://www.escholarship.org/uc/item/30c6c59k |
| DOI: | 10.1088/1367-2630/aa997d. |
| Popis: | 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 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 velocity autocorrelation function. An asymptotic decay law of the velocity autocorrelation function resembles the previously known self-consistent form, $1/(t\sqrt{\ln t})$, however with a rescaled time. Comment: 10 pages, to appear in New Journal of Physics |
| Databáze: | OpenAIRE |
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