DOI: 10.1063/1.1743132. Boltzmann Equation from the Statistical Mechanical Point of View

Boltzmann Equation from the Statistical Mechanical Point of View

10.1063/1.1743132

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The Boltzmann equation for a spacially uniform situation is derived by the method of expansion of the molecular distribution functions in powers of the concentration. These expansions are shown to imply that after a time which depends on the initial phase space distribution and for configurations in which the molecules are not too widely separated, all the distribution functions are functionals of the single-particle distribution. The single-particle distribution obeys an equation which is a generalization of the Boltzmann equation which includes the effects of triple and higher collisions. The triple collision term is given explicitly.

Bibliography

Green, M. S. (1956). Boltzmann Equation from the Statistical Mechanical Point of View. The Journal of Chemical Physics, 25(5), 836â855.

Authors 1

Melville S. Green (first)

References 15 Referenced 98

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{'key': '2024020817110779600_r3', 'first-page': '517', 'volume': '21', 'year': '1955', 'journal-title': 'Physica'} / Physica (1955)
10.1146/annurev.pc.05.100154.002313 / Ann. Rev. Phys. Chem. (1954)
{'key': '2024020817110779600_r4'}
10.1063/1.1746292 / J. Chem. Phys. (1947)
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{'key': '2024020817110779600_r8', 'first-page': '265', 'volume': '10', 'year': '1946', 'journal-title': 'J. Phys. (U.S.S.R.)'} / J. Phys. (U.S.S.R.) (1946)
{'key': '2024020817110779600_r8a'}
{'key': '2024020817110779600_r9'}
10.1063/1.1740082 / J. Chem. Phys. (1954)
10.1063/1.1739882 / J. Chem. Phys. (1954)
10.1017/S0305004100011191 / Proc. Cambridge Phil. Soc. (1927)
10.1063/1.1742067 / J. Chem. Phys. (1955)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 8:24 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 12:59 p.m.)
Indexed	1 year, 2 months ago (June 11, 2024, 12:37 p.m.)
Issued	68 years, 10 months ago (Nov. 1, 1956)
Published	68 years, 10 months ago (Nov. 1, 1956)
Published Print	68 years, 10 months ago (Nov. 1, 1956)

Funders 0

None

BibTeX

@article{Green_1956, title={Boltzmann Equation from the Statistical Mechanical Point of View}, volume={25}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1743132}, DOI={10.1063/1.1743132}, number={5}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Green, Melville S.}, year={1956}, month=nov, pages={836–855} }

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