DOI: 10.1063/1.1666083. Thermodynamics and Hydrodynamics for a Modeled Fluid

Thermodynamics and Hydrodynamics for a Modeled Fluid

10.1063/1.1666083

Crossref journal-article

AIP Publishing

Journal of Mathematical Physics (317)

Abstract

This article presents a general study of a two-dimensional fluid model with microscopic discrete velocities. The rather unusual properties of this model lead to precise thermodynamical laws. The Navier-Stokes hydrodynamical equations are obtained, which contain a transport coefficient given by a Green-Kubo integral, and it is shown that this integral does not converge for a reason common to all two-dimensional fluids.

Bibliography

Hardy, J., & Pomeau, Y. (1972). Thermodynamics and Hydrodynamics for a Modeled Fluid. Journal of Mathematical Physics, 13(7), 1042â1051.

Authors 2

J. Hardy (first)
Y. Pomeau (additional)

References 8 Referenced 55

10.1146/annurev.pc.16.100165.000435 / Ann. Rev. Phys. Chem. (1965)
10.1103/PhysRevA.1.18 / Phys. Rev. A (1970)
{'key': '2023062803142471900_r2a', 'first-page': '1259', 'volume': '25', 'year': '1970', 'journal-title': 'Phys. Rev. Letters'} / Phys. Rev. Letters (1970)
10.1063/1.1673845 / J. Chem. Phys. (1970)
{'key': '2023062803142471900_r4'}
{'key': '2023062803142471900_r5', 'first-page': '1328', 'volume': '9', 'year': '1969', 'journal-title': 'Phys. Fluids'} / Phys. Fluids (1969)
10.1063/1.1711368 / Phys. Fluids (1964)
10.1103/PhysRev.168.193 / Phys. Rev. (1968)

Dates

Type	When
Created	21 years, 6 months ago (Feb. 10, 2004, 12:27 p.m.)
Deposited	2 years, 1 month ago (June 27, 2023, 11:14 p.m.)
Indexed	2 weeks, 3 days ago (Aug. 6, 2025, 9:10 a.m.)
Issued	53 years, 1 month ago (July 1, 1972)
Published	53 years, 1 month ago (July 1, 1972)
Published Online	21 years, 9 months ago (Oct. 31, 2003)
Published Print	53 years, 1 month ago (July 1, 1972)

Funders 0

None

BibTeX

@article{Hardy_1972, title={Thermodynamics and Hydrodynamics for a Modeled Fluid}, volume={13}, ISSN={1089-7658}, url={http://dx.doi.org/10.1063/1.1666083}, DOI={10.1063/1.1666083}, number={7}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Hardy, J. and Pomeau, Y.}, year={1972}, month=jul, pages={1042–1051} }

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