Summary
Based on the principle of indistinguishability of identical particles, it is shown that the time-independent Liouville equation can account for the non-causal behavior of a many-particle system in thermostatic equilibrium. For a slowly evolving non-equilibrium system the condition for local equilibrium and the irreversible behavior of the system are established through an approximate solution of the time-dependent Liouville equation. The importance of temperature as the link between the equations of mechanics and thermodynamics is emphasized.
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References
Prigogine I.,From Being to Becoming (Freeman and Company, New York, N.Y.) 1980.
Tolman R. C.,The Principles of Statistical Mechanics (Oxford University Press, London) 1962, p. 626.
Beghian L. E.,Nuovo Cimento B,107 (1992) 141.
Beghian L. E.,Nuovo Cimento B,108 (1993) 1.
Meixner J.,Ann. Phys. (Leipzig),39 (1941) 333;Z. Phys. Chem. B,53 (1943) 235;Ann. Phys. (Leipzig),43 (1943) 244.
Kreuzer H. J.,Nonequilibrium Thermodynamics and its Statistical Foundations (Clarendon, Oxford) 1981.
Beghian L. E.,Nuovo Cimento B,108 (1993) 1087.
Orban J. andBellemans A.,Phys. Lett. A,24 (1967) 620.
Lebowitz J. L.,Phys. Today,46 (1993) 32.
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Beghian, L.E. The interrelationship between mechanics and thermodynamics. Nuov Cim B 110, 377–386 (1995). https://doi.org/10.1007/BF02741445
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DOI: https://doi.org/10.1007/BF02741445