The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
H-theorem for the (modified) nonlinear Enskog equation
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In the citing paper
“Starting with a nonuniform initial density f X 0 ( x , v ) the time evolved f X t ( x , v ) will approach an f which depends only on | v | and which will have a larger S gas ( f ).”
From On the (Boltzmann) entropy of non-equilibrium systems (2004) · cites this paper as [7]
In the citing paper
“We note that when the periodicity of the scatterers is on the microscopic scale then for macroscopic times the spatial density profile n X t ( x ) will satisfy a diffusion equation [7, 10].”
From On the (Boltzmann) entropy of non-equilibrium systems (2004) · cites this paper as [7]
In the citing paper
“Boltzmann defined the entropy of a macroscopic system with microstate X by”
From On the (Boltzmann) entropy of non-equilibrium systems (2004) · cites this paper as [7]
Citations
Cites
van Beijeren, H., & Ernst, M. H. (1973) · Physica · doi:10.1016/0031-8914(73)90372-8 · Cited by 361
Nettleton, R. E., & Green, M. S. (1958) · The Journal of Chemical Physics · doi:10.1063/1.1744724 · Cited by 298
Hanley, H. J. M., McCarty, R. D., & Cohen, E. G. D. (1972) · Physica · doi:10.1016/0031-8914(72)90108-5 · Cited by 179
Kinetic-Equation Approach to Time-Dependent Correlation Functions
Lebowitz, J. L., Percus, J. K., & Sykes, J. (1969) · Physical Review · doi:10.1103/physrev.188.487 · Cited by 174
Le domaine de validité de la thermodynamique des phénomènes irréversibles
Prigogine, I. (1949) · Physica · doi:10.1016/0031-8914(49)90056-7 · Cited by 155
H Theorem for the (Modified) Nonlinear Enskog Equation
Résibois, P. M. V. (1978) · Physical Review Letters · doi:10.1103/physrevlett.40.1409 · Cited by 115
Short-time kinetic equations for hard spheres: Comparison with other theories
Sykes, J. (1973) · Journal of Statistical Physics · doi:10.1007/bf01012572 · Cited by 33
The linearized (modified) Enskog equation: The approach to equilibrium
Résibois, P. M. V. (1978) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(78)90124-3 · Cited by 19
H-theorem for the hard-sphere gas
Hubert, D. (1976) · Journal of Statistical Physics · doi:10.1007/bf01012810 · Cited by 8
H-Theorem for the enskog kinetic equation
Bubert, D. (1977) · Physics and Chemistry of Liquids · doi:10.1080/00319107708084131 · Cited by 3
Research works printed but not linked: 15
- S. Chapman and T. Cowling,The Mathematical Theory of Non-Uniform Gases (Cambridge Univ. Press, Cambridge, 1935).
- P. Résibois and M. De Leener,Classical Kinetic Theory of Fluids (Wiley-Interscience, New York, 1977);
- J. Dorfman and H. Van Beijeren, inStatistical Mechanics, Part B, B. Berne, ed. (Plenum Press, New York, 1977).
- J. Piasecki,inFundamental Problems in Statistical Mechanics, E. Cohen, ed. (Polish Academy of Sciences, Warsaw, 1978);
- P. Résibois, inFundamental Problems in Statistical Mechanics, E. Cohen, ed. (Polish Academy of Sciences, Warsaw, 1978).
- G. Stell, inThe Equilibrium Theory of Classical Fluids, H. Frisch and J. Lebowitz, eds. (Benjamin, New York, 1964).
- D. Ter Haar,Statistical Mechanics (Constable, London, 1954).
- C. Cercignani,Theory and Application of the Boltzmann Equation (Scottish Academic Press, Edinburgh, 1975).
- W. Gibbs,Elementary Principles of Statistical Mechanics (reprinted by Dover, New York, 1960).
- H. Grad, inHandbuch der Physik, S. Flügge, ed. (Springer-Verlag, Berlin, 1958), Vol. 12.
- O. Lanford III, inProceedings of the Int. Conf. on Dynamical Systems in Math. Phys., Rennes 1975 (Soc. Math. de France, Paris, 1976).
- I. Prigogine, C. George, F. Henin, and L. Rosenfeld,Chemica Scripta 4:5 (1973).
- G. Nicolis, J. Wallenborn, and M. Velarde,Physica 43:475 (1968).
- P. Glansdorff and I. Prigogine,Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley-Interscience, New York, 1971).
- Y. Yvon,Les Corrélations et l'Entropie (Dunod, Paris, 1966).
Cited by
Mode-coupling theory and the glass transition in supercooled liquids
Das, S. P. (2004) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.785 · Cited by 400
Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gases
Luo, L.-S. (2000) · Physical Review E · doi:10.1103/physreve.62.4982 · Cited by 372
Foundations of statistical mechanics
Penrose, O. (1979) · Reports on Progress in Physics · doi:10.1088/0034-4885/42/12/002 · Cited by 236
On the (Boltzmann) entropy of non-equilibrium systems
Goldstein, S., & Lebowitz, J. L. (2004) · Physica D: Nonlinear Phenomena · doi:10.1016/j.physd.2004.01.008 · Cited by 240
“Consider a macroscopic system of N noninteracting point particles, moving among a periodic array of scatterers in a macroscopic volume V , [7,10].”
BackgroundThe Enskog theory for multicomponent mixtures. I. Linear transport theory
de Haro, M. L., Cohen, E. G. D., & Kincaid, J. M. (1983) · The Journal of Chemical Physics · doi:10.1063/1.444985 · Cited by 139
Metadata
- Authors
- Resibois, P.
- Venue
- Journal of Statistical Physics
- Published
- 1978-12
- Volume
- 19
- Issue
- 6
- Pages
- 593-609
- ISSN
- 0022-4715 (ISSN-L)
- 1572-9613
- OpenAlex
- W2009459324
- Cited by
- 124
- References
- 10
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 2 · 2023: 4 · 2022: 2 · 2021: 2 · 2020: 1 · 2019: 1 · 2018: 5 · 2017: 2 · 2016: 2 · 2015: 2 · 2014: 3 · 2012: 2
- FWCI
- 3.40
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Journal of Statistical Physics (publishedVersion)
- Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Physical Sciences › Mathematics › Applied Mathematics › Gas Dynamics and Kinetic Theory
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- H-theorem, H-function, hard-sphere fluid, entropy, kinetic theory of gases, Boltzmann equation
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
