One-Particle Distribution Function for a System of Hard Rods | Zendy

Kazuo Hiroike | Zendy

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One-Particle Distribution Function for a System of Hard Rods

Author(s) -

Kazuo Hiroike

Publication year - 1983

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.70.988

Subject(s) - rod , physics , logarithm , distribution function , particle (ecology) , distribution (mathematics) , function (biology) , fugacity , base (topology) , statistical physics , mathematical analysis , classical mechanics , thermodynamics , mathematics , medicine , oceanography , alternative medicine , pathology , evolutionary biology , biology , geology

A rigorous equation for the one-particle distribution function is studied for a system of hard rods. When the fugacity z is less than or equal toe (the base of the natural logarithm) divided by the diameter 15 of the hard rods, it is proved that the only solution of the equation is spatially uniform. It is also proved that the equation has neither a solution corresponding to a perfect crystalline structure nor a solution bifurcating continuously from the uniform solution.

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