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- W210285170 abstract "This chapter describes the Maxwellian distribution, the probability distribution for an oscillator, the Gibbs distribution for rotating bodies, and the concept of free energy in the Gibbs distribution. The difference between bodies forming closed and nonclosed systems when the Gibbs distribution is used appears essentially only in the treatment of the fairly unimportant problem of fluctuations in the total energy of the body. The Gibbs distribution gives for the mean fluctuation of this quantity a nonzero value, which is meaningful for a body in a medium; however, it is entirely spurious for a closed system, as the energy of such a body is by definition constant and does not fluctuate. The energy E(p, q) in the Gibbs distribution formula of classical statistics can always be written as the sum of two parts: (1) the kinetic energy and (2) the potential energy. The first of these is a quadratic function of the momenta of the atoms, and the second is a function of their coordinates, the form of which depends on the law of interaction between the particles within the body and on the external field, if any." @default.
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- W210285170 date "1980-01-01" @default.
- W210285170 modified "2023-09-25" @default.
- W210285170 title "THE GIBBS DISTRIBUTION" @default.
- W210285170 doi "https://doi.org/10.1016/b978-0-08-023039-9.50009-3" @default.
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