The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Large Scale Dynamics of Interacting Particles
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“The formula for entropy production generalizes to other macroscopic equations [2, 12], e.g. to the compressible Navier-Stokes equations which describe the time evolution of n ( x , t ) , u ( x , t ) and e ( x , t ).”
From On the (Boltzmann) entropy of non-equilibrium systems (2004) · cites this paper as [12]
Citations
Cites
Low Density Limit: The Boltzmann Equation
Spohn, H. E. (1991) · Springer eBooks · doi:10.1007/978-3-642-84371-6_5 · Cited by 1
Self-citationStochastic Models with a Single Conservation Law Other than Lattice Gases
Spohn, H. E. (1991) · Springer eBooks · doi:10.1007/978-3-642-84371-6_17 · Cited by 1
Self-citation
Cited by
THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
CORWIN, I. (2012) · Random Matrices: Theory and Applications · doi:10.1142/s2010326311300014 · Cited by 759
Heterogeneous Multiscale Methods: A Review
Weinan, E., Engquist, B., Li, X., Ren, W., & Vanden‐Eijnden, E. (2007) · Communications in Computational Physics · doi:10.4208/cicp.2007.v2.p367 · Cited by 687
Boltzmann's Entropy and Time's Arrow
Lebowitz, J. L. (1993) · Physics Today · doi:10.1063/1.881363 · Cited by 571
Collective and single particle diffusion on surfaces
Ala-Nissila, T., Ferrando, R., & Ying, S. C. (2002) · Advances in Physics · doi:10.1080/00018730110107902 · Cited by 527
Exactly Solvable Models for Many-Body Systems Far from Equilibrium
(2001) · Phase Transitions and Critical Phenomena · doi:10.1016/s1062-7901(01)80015-x · Cited by 451
Metadata
- Authors
- Spohn, H.
- Affiliations
- Ludwig-Maximilians-Universität München (DE)
- Corresponding author
- Spohn, Herbert
- ORCID
- Spohn, Herbert
- Venue
- Springer eBooks
- Publisher
- Springer Berlin Heidelberg
- Published
- 1991
- OpenAlex
- W1600015713
- Cited by
- 1,871
- References
- 2
- Citations by year
- 2026: 35 · 2025: 55 · 2024: 58 · 2023: 65 · 2022: 48 · 2021: 55 · 2020: 81 · 2019: 72 · 2018: 74 · 2017: 83 · 2016: 67 · 2015: 58 · 2014: 86 · 2013: 61 · 2012: 60
- FWCI
- 16.30
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Springer eBooks (publishedVersion)
- International Linear Collider (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- interacting particle systems, large-scale dynamics, nonequilibrium statistical mechanics, evolution equations, hydrodynamic limit, mean-field limit, interacting diffusions
About these checks
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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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Large Scale Dynamics of Interacting Particles. https://app.cochat.ai/papers/10.1007/978-3-642-84371-6
- The paper
- Spohn, H. (1991). Large Scale Dynamics of Interacting Particles. Springer eBooks. https://doi.org/10.1007/978-3-642-84371-6
Data sources
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.