The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism
Abstract
For a number of well-known time-evolution equations for nonequilibrium systems we extract a common structure from these equations, referred to as a general equation for the nonequilibrium reversible-irreversible coupling (GENERIC). This fundamental structure is determined by four building blocks, two ``potentials'' (total energy and entropy) and two ``matrices.'' We illustrate for various examples how three of the four building blocks can be determined in a rather straightforward manner so that, within our GENERIC approach to nonequilibrium dynamics, understanding of a given nonequilibrium system is reduced to determining a single ``metric matrix,'' or friction matrix, either empirically or by more microscopic considerations. In formulating nonisothermal polymer kinetic theories, we show how the general structure provides a clear distinction between spring potentials of energetic and entropic origins in the various time-evolution equations.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Reptation of a Polymer Chain in the Presence of Fixed Obstacles
de Gennes, P. G. (1971) · The Journal of Chemical Physics · doi:10.1063/1.1675789 · Cited by 4,284
Arnold, V. (1966) · Annales de l'Institut Fourier · doi:10.5802/aif.233 · Cited by 1,609
Dynamics and thermodynamics of complex fluids. I. Development of a general formalism
Grmela, M., & Öttinger, H. C. (1997) · Physical Review E · doi:10.1103/physreve.56.6620 · Cited by 1,039
Self-citationA Modern Course in Statistical Physics
Brereton, M. (1981) · Physics Bulletin · doi:10.1088/0031-9112/32/3/049 · Cited by 955
Stochastic Processes in Polymeric Fluids: Tools and Examples for Developing Simulation Algorithms
Öttinger, H. C. (1996) · Springer eBooks · doi:10.1007/978-3-642-58290-5 · Cited by 813
Self-citationThermodynamics of Flowing Systems: with Internal Microstructure
Beris, A. N., & Edwards, B. J. (1994) · Oxford University Press eBooks · doi:10.1093/oso/9780195076943.001.0001 · Cited by 725
Marsden, J. E. (1992) · Cambridge University Press eBooks · doi:10.1017/cbo9780511624001 · Cited by 524
Poisson brackets in condensed matter physics
Dzyaloshinskii, I. E., & Volovick, G. E. (1980) · Annals of Physics · doi:10.1016/0003-4916(80)90119-0 · Cited by 443
Thermodynamics and an Introduction to Thermostatistics, 2nd ed.
Callen, H. B., & Scott, H. L. (1998) · American Journal of Physics · doi:10.1119/1.19071 · Cited by 358
Burke, W. L. (1985) · Cambridge University Press eBooks · doi:10.1017/cbo9781139171786 · Cited by 319
Cited by
Beyond Equilibrium Thermodynamics
Öttinger, H. C. (2005) · doi:10.1002/0471727903 · Cited by 896
Self-citationSmoothed dissipative particle dynamics
Español, P., & Revenga, M. (2003) · Physical Review E · doi:10.1103/physreve.67.026705 · Cited by 554
Simple models for complex nonequilibrium fluids
KROGER, M. (2004) · Physics Reports · doi:10.1016/j.physrep.2003.10.014 · Cited by 302
Challenges in Multiscale Modeling of Polymer Dynamics
Li, Y., Abberton, B., Kröger, M., & Liu, W. (2013) · Polymers · doi:10.3390/polym5020751 · Cited by 222
Fang, J., Kröger, M., & Öttinger, H. C. (2000) · Journal of Rheology · doi:10.1122/1.1308522 · Cited by 112
Self-citation
Metadata
- Authors
- Öttinger, H. C., & Grmela, M.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1997-12-01
- Volume
- 56
- Issue
- 6
- Pages
- 6633-6655
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W1983639022
- Cited by
- 770
- References
- 16
- FWCI
- 14.97
- Type
- journal article
- Language
- en
- Open access
- closed
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.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism. https://app.cochat.ai/papers/10.1103/physreve.56.6633
- The paper
- Öttinger, H. C., & Grmela, M. (1997). Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism. Physical Review E. https://doi.org/10.1103/physreve.56.6633
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.
