William Thompson Buried Western Australia

Kinetic theory of gases

Critisized the derivation of the gas laws by Laplace and gave an account of the kinetic theory, but his paper was not accepted for publication in the Philosophical Transactions of the Royal Society because it was considered to be too speculative. It finally appeared in 1821 in the Philosoph ical Transactions and would have been forgotten if James Prescott Joule (1818-89) would not have been in uenced by it and by Herapath's book on Mathematical Physics published in 1847. this is the first of Boltzmann's four great papers the subject. The Boltzmann equation is introduced. The H-Theorem is ``proved''. In particular, Boltzmann shows his equation is dissipative and proves that Maxwellians are the only equilibria of the collision operator. Mistakenly, Boltzmann claims to have established how irreversible dynamics arise from reversible microscopic dynamics. He extends the kinetic equation to polyatomic molecules. raises the question of how a reversible microscopic picture of the world can be consistent with irreversible macroscopic theories such as (for example) thermodynamics, which by then were widely accepted. He gives a probabilistic analysis of the diffusion of gases in the limit of the number of molecules goes to infinity. He states that irreversibility can arise from such a limit process. In other words, irreversibility holds in a limit. publishes two papers. The first addresses the 1876 objection of Loschmidt. The second is also the second and perhaps deepest of Boltzmann's four great papers the subject. In it he follows up on a remark he makes in his response to Loschmidt and establishes the connection between entropy and the number of microscopic states available to a system in a given macroscopic state. finds a mistake in Boltzmann's analysis of the collisions of polyatomic molecules.

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