The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Statistical error in particle simulations of hydrodynamic phenomena
Open accessAbstract
We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Specifically, we establish how these errors depend on Mach number, Knudsen number, number of particles, etc. Expressions for the common hydrodynamic variables of interest such as flow velocity, temperature, density, pressure, shear stress, and heat flux are derived using equilibrium statistical mechanics. Both volume-averaged and surface-averaged quantities are considered. Comparisons between theory and computations using direct simulation Monte Carlo for dilute gases, and molecular dynamics for dense fluids, show that the use of equilibrium theory provides accurate results.
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Cites
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
Molecular Gas Dynamics And The Direct Simulation Of Gas Flows
Bird, G. A. (1994) · doi:10.1093/oso/9780198561958.001.0001 · Cited by 7,269
Cited by
MULTISCALE FLOW SIMULATIONS USING PARTICLES
Koumoutsakos, P. (2005) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.37.061903.175753 · Cited by 324
Mechanisms of Molecular Permeation through Nanoporous Graphene Membranes
Sun, C., Boutilier, M. S. H., Au, H., Poesio, P., Bai, B., Karnik, R., & Hadjiconstantinou, N. G. (2014) · Langmuir · doi:10.1021/la403969g · Cited by 287
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Metadata
- Authors
- Hadjiconstantinou, N. G., Garcia, A. L., Bazant, M. Z., & He, G.
- Venue
- Journal of Computational Physics
- Publisher
- Elsevier BV
- Published
- 2003-05
- Volume
- 187
- Issue
- 1
- Pages
- 274-297
- ISSN
- 0021-9991 (ISSN-L)
- OpenAlex
- W2096529920
- Cited by
- 289
- References
- 2
- FWCI
- 20.37
- Type
- journal article
- Language
- en
- Open access
- green
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- Hadjiconstantinou, N. G., Garcia, A. L., Bazant, M. Z., & He, G. (2003). Statistical error in particle simulations of hydrodynamic phenomena. Journal of Computational Physics. https://doi.org/10.1016/s0021-9991(03)00099-8
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