Nature of selfdiffusion in twodimensional fluids
Selfdiffusion in a twodimensional simple fluid is investigated by both analytical and numerical means. We investigate the anomalous aspects of selfdiffusion in twodimensional fluids with regards to the mean square displacement, the timedependent diffusion coefficient, and the velocity autocorrelation function (VACF) using a consistency equation relating these quantities. Here, 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, nonvanishing 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 selfconsistent form, 1/($$t\sqrt{In t)}$$ however with a rescaled time.
 Authors:

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 Korea Advanced Inst. Science and Technology (KAIST), Daejeon (Korea, Republic of). Dept. of Chemistry
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Computational Research Division
 Univ. Augsburg, Augsburg (Germany). Inst. fur Physik
 Yokohama City Univ., Yokohama (Japan). Graduate School of Medical Life Science
 Publication Date:
 Grant/Contract Number:
 AC0205CH11231; A0702001005; SC0008271
 Type:
 Published Article
 Journal Name:
 New Journal of Physics
 Additional Journal Information:
 Journal Volume: 19; Journal Issue: 12; Related Information: © 2017 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft.; Journal ID: ISSN 13672630
 Publisher:
 IOP Publishing
 Research Org:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC21); Korea Advanced Institute of Science and Technology (KAIST)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; selfdiffusion; longtime tail; anomalous diffusion; molecular dynamics simulation; consistency equation
 OSTI Identifier:
 1437764
 Alternate Identifier(s):
 OSTI ID: 1432222
Choi, Bongsik, Han, Kyeong Hwan, Kim, Changho, Talkner, Peter, Kidera, Akinori, and Lee, Eok Kyun. Nature of selfdiffusion in twodimensional fluids. United States: N. p.,
Web. doi:10.1088/13672630/aa997d.
Choi, Bongsik, Han, Kyeong Hwan, Kim, Changho, Talkner, Peter, Kidera, Akinori, & Lee, Eok Kyun. Nature of selfdiffusion in twodimensional fluids. United States. doi:10.1088/13672630/aa997d.
Choi, Bongsik, Han, Kyeong Hwan, Kim, Changho, Talkner, Peter, Kidera, Akinori, and Lee, Eok Kyun. 2017.
"Nature of selfdiffusion in twodimensional fluids". United States.
doi:10.1088/13672630/aa997d.
@article{osti_1437764,
title = {Nature of selfdiffusion in twodimensional fluids},
author = {Choi, Bongsik and Han, Kyeong Hwan and Kim, Changho and Talkner, Peter and Kidera, Akinori and Lee, Eok Kyun},
abstractNote = {Selfdiffusion in a twodimensional simple fluid is investigated by both analytical and numerical means. We investigate the anomalous aspects of selfdiffusion in twodimensional fluids with regards to the mean square displacement, the timedependent diffusion coefficient, and the velocity autocorrelation function (VACF) using a consistency equation relating these quantities. Here, 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, nonvanishing 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 selfconsistent form, 1/($t\sqrt{In t)}$ however with a rescaled time.},
doi = {10.1088/13672630/aa997d},
journal = {New Journal of Physics},
number = 12,
volume = 19,
place = {United States},
year = {2017},
month = {12}
}