Relation between Boltzmann and Gibbs entropy and example with multinomial distribution (CROSBI ID 291191)
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Podaci o odgovornosti
Županović, Paško ; Kuić, Domagoj
engleski
Relation between Boltzmann and Gibbs entropy and example with multinomial distribution
General relationship between mean Boltzmann entropy and Gibbs entropy is established. It is found that their difference is equal to fluctuation entropy, which is a Gibbs-like entropy of macroscopic quantities. The ratio of the fluctuation entropy and mean Boltzmann, or Gibbs entropy vanishes in the thermodynamic limit for a system of distinguishable and independent particles. It is argued that large fluctuation entropy clearly indicates the limit where standard statistical approach should be modified, or extended using other methods like renormalization group.
boltzmann entropy ; gibbs entropy ; fluctuation entropy ; thermodynamic limit ; nonequilibrium ; critical phenomena
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Podaci o izdanju
2 (4)
2018.
045002
11
objavljeno
2399-6528
10.1088/2399-6528/aab7e1
Povezanost rada
Fizika