The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Stochastic rotation dynamics. I. Formalism, Galilean invariance, and Green-Kubo relations
Open accessAbstract
A detailed analytical and numerical analysis of a recently introduced stochastic model for fluid dynamics with continuous velocities and efficient multi-particle collisions is presented. It is shown how full Galilean invariance can be achieved for arbitrary Mach numbers and how other low temperature anomalies can be removed. The relaxation towards thermal equilibrium is investigated numerically, and the relaxation time is measured. Equations of motions for the correlation functions of coarse-grained hydrodynamic variables are derived using a discrete-time projection operator technique, and the Green-Kubo relations for all relevant transport coefficients are given. In the following paper (Part 2), analytic expressions for the transport coefficients are derived and compared with simulation results. Long-time tails in the velocity and stress autocorrelation functions are measured and shown to be in good agreement with previous mode-coupling theories for continuous systems.
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Cites
Transport, Collective Motion, and Brownian Motion
Mori, H. (1965) · Progress of Theoretical Physics · doi:10.1143/ptp.33.423 · Cited by 4,587
Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics
Hoogerbrugge, P. J., & Koelman, J. M. V. A. (1992) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/19/3/001 · Cited by 3,811
Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions
Forster, D. (2018) · CRC Press eBooks · doi:10.1201/9780429493683 · Cited by 1,901
A Continued-Fraction Representation of the Time-Correlation Functions
Mori, H. (1965) · Progress of Theoretical Physics · doi:10.1143/ptp.34.399 · Cited by 1,799
Fundamentals of Statistical and Thermal Physics
Reif, F., & Rice, S. A. (1967) · Physics Today · doi:10.1063/1.3034084 · Cited by 1,423
Mesoscopic model for solvent dynamics
Malevanets, A., & Kapral, R. (1999) · The Journal of Chemical Physics · doi:10.1063/1.478857 · Cited by 1,027
Saunders, H. (1978) · The Shock and Vibration Digest · doi:10.1177/058310247801000905 · Cited by 886
Stochastic rotation dynamics: A Galilean-invariant mesoscopic model for fluid flow
Ihle, T., & Kroll, D. M. (2001) · Physical Review E · doi:10.1103/physreve.63.020201 · Cited by 505
Self-citationSolute molecular dynamics in a mesoscale solvent
Malevanets, A., & Kapral, R. (2000) · The Journal of Chemical Physics · doi:10.1063/1.481289 · Cited by 498
Hydrodynamics from dissipative particle dynamics
Español, P. (1995) · Physical Review E · doi:10.1103/physreve.52.1734 · Cited by 420
Cited by
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
(2009) · JuSER (Forschungszentrum Jülich) · Cited by 465
Multiparticle Collision Dynamics: Simulation of Complex Systems on Mesoscales
Kapral, R. (2008) · Advances in Chemical Physics · doi:10.1002/9780470371572.ch2 · Cited by 333
Daoulas, K. C., & Müller, M. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2364506 · Cited by 254
Rod-like colloids and polymers in shear flow: A multi-particle-collision dynamics study
Winkler, R. G., Mussawisade, K., Ripoll, M., & Gompper, G. (2004) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/16/38/012 · Cited by 81
Metadata
- Authors
- Ihle, T., & Kroll, D. M.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2003-06-12
- Volume
- 67
- Issue
- 6
- Pages
- 066705-066705
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2163445538
- Cited by
- 256
- References
- 26
- FWCI
- 16.66
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
