DOI: 10.1063/1.1761922. Divergence in the Density Expansion of the Transport Coefficients of a Two-Dimensional Gas

Divergence in the Density Expansion of the Transport Coefficients of a Two-Dimensional Gas

10.1063/1.1761922

Crossref journal-article

AIP Publishing

The Physics of Fluids (317)

Abstract

An analysis is presented of the first density correction to the viscosity and thermal conductivity coefficient of a two-dimensional gas of rigid disks. The existence of a divergence in the density expansion is established explicitly. For a two-dimensional gas the triple collision contribution to the transport coefficients diverges logarithmically with the time between collisions. In particular, for rigid disks the coefficient of the logarithmic singularity in the viscosity and thermal conductivity is evaluated in the first Enskog approximation. The possibility that as a consequence the transport coefficients depend logarithmically on the density is discussed.

Bibliography

Sengers, J. V. (1966). Divergence in the Density Expansion of the Transport Coefficients of a Two-Dimensional Gas. The Physics of Fluids, 9(9), 1685â1696.

Authors 1

J. V. Sengers (first)

References 36 Referenced 42

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10.1063/1.1743132 / J. Chem. Phys. (1956)
10.1016/S0031-8914(58)95571-X / Physica (1958)
10.1016/0031-8914(62)90008-3 / Physica (1962)
10.1063/1.1703942 / J. Math. Phys. (1963)
10.1103/PhysRev.136.A1519 / Phys. Rev. (1964)
10.1016/0031-8914(65)90075-3 / Physica (1965)
10.1143/JPSJ.18.29 / J. Phys. Soc. Japan (1963)
10.1103/PhysRev.132.1388 / Phys. Rev. (1963)
{'key': '2023080222254727900_r6b'}
{'key': '2023080222254727900_r6c', 'first-page': '460', 'volume': '132', 'year': '1963', 'journal-title': 'Phys. Rev.'} / Phys. Rev. (1963)
10.1016/0031-9163(65)90149-6 / Phys. Letters (1965)
{'key': '2023080222254727900_r7a'}
10.1103/PhysRev.140.A460 / Phys. Rev. (1965)
{'key': '2023080222254727900_r9', 'first-page': '531', 'volume': '11', 'year': '1965', 'journal-title': 'Bull. Am. Phys. Soc.'} / Bull. Am. Phys. Soc. (1965)
{'key': '2023080222254727900_r10'}
10.1103/PhysRevLett.15.515 / Phys. Rev. Letters (1965)
10.1063/1.1761849 / Phys. Fluids (1966)
{'key': '2023080222254727900_r13'}
{'key': '2023080222254727900_r14'}
{'key': '2023080222254727900_r15'}
{'key': '2023080222254727900_r16'}
{'key': '2023080222254727900_r17'}
{'key': '2023080222254727900_r18'}
10.1103/PhysRev.139.A1763 / Phys. Rev. (1965)
10.1103/PhysRev.129.486 / Phys. Rev. (1963)
10.1103/PhysRev.144.207 / Phys. Rev. (1966)
{'key': '2023080222254727900_r22'}
10.1016/0031-9163(65)90778-X / Phys. Letters (1965)
10.1016/S0031-8914(58)95571-X / Physica (1958)
{'key': '2023080222254727900_r25'}
{'key': '2023080222254727900_r25a'}
{'key': '2023080222254727900_r26'}
{'key': '2023080222254727900_r26a'}
10.1103/PhysRevLett.13.743 / Phys. Rev. Letters (1964)

Dates

Type	When
Created	20 years, 8 months ago (Dec. 28, 2004, 12:47 a.m.)
Deposited	2 years, 1 month ago (Aug. 2, 2023, 6:25 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 6:03 p.m.)
Issued	59 years ago (Sept. 1, 1966)
Published	59 years ago (Sept. 1, 1966)
Published Online	20 years, 8 months ago (Dec. 9, 2004)
Published Print	59 years ago (Sept. 1, 1966)

Funders 0

None

BibTeX

@article{Sengers_1966, title={Divergence in the Density Expansion of the Transport Coefficients of a Two-Dimensional Gas}, volume={9}, ISSN={0031-9171}, url={http://dx.doi.org/10.1063/1.1761922}, DOI={10.1063/1.1761922}, number={9}, journal={The Physics of Fluids}, publisher={AIP Publishing}, author={Sengers, J. V.}, year={1966}, month=sep, pages={1685–1696} }

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