DOI: 10.1063/1.439014. The Kirkwood instability in a mean field context

The Kirkwood instability in a mean field context

10.1063/1.439014

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We demonstrate for systems with pair potentials of the form V(r)=γdφ(γr) that the Kirkwood instability analysis of the first equation in the BBGKY hierarchy is correct in the limit γ→0. The cancellation of singular behavior, which occurs for models with short range potentials when higher order equations in the BBGKY hierarchy are considered, does not occur in this mean field (γ→0) limit.

Bibliography

Klein, W., & Grewe, N. (1980). The Kirkwood instability in a mean field context. The Journal of Chemical Physics, 72(10), 5456â5457.

Authors 2

W. Klein (first)
N. Grewe (additional)

References 12 Referenced 19

{'key': '2024020919152785300_r1'}
10.1063/1.431453 / J. Chem. Phys. (1975)
10.1063/1.433341 / J. Chem. Phys. (1976)
10.1143/PTP.59.393 / Prog. Theor. Phys. (1978)
10.1063/1.436222 / J. Chem. Phys. (1978)
{'key': '2024020919152785300_r6', 'first-page': '181', 'volume': '50', 'year': '1969', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1969)
10.1063/1.436574 / J. Chem. Phys. (1978)
10.1063/1.1673324 / J. Chem. Phys. (1970)
10.1063/1.434014 / J. Chem. Phys. (1977)
{'key': '2024020919152785300_r10', 'first-page': '10', 'volume': '188', 'year': '1946', 'journal-title': 'Proc. R. Soc. (London) Ser. A'} / Proc. R. Soc. (London) Ser. A (1946)
10.1063/1.523480 / J. Math. Phys. (1977)
10.1063/1.523481 / J. Math. Phys. (1977)

Dates

Type	When
Created	22 years, 6 months ago (Feb. 28, 2003, 3 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 4:17 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 12:24 a.m.)
Issued	45 years, 3 months ago (May 15, 1980)
Published	45 years, 3 months ago (May 15, 1980)
Published Print	45 years, 3 months ago (May 15, 1980)

Funders 0

None

BibTeX

@article{Klein_1980, title={The Kirkwood instability in a mean field context}, volume={72}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.439014}, DOI={10.1063/1.439014}, number={10}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Klein, W. and Grewe, N.}, year={1980}, month=may, pages={5456–5457} }

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