Titlebook: Generalised Thermostatistics; Jan Naudts Book 2011 Springer-Verlag London Limited 2011 Exponential family of statistical models.Microcanon

賞錢(qián)

大喘氣

AND

The Mean Field Approximation Doing so allows for a further generalisation of the mean field approximation. This Chapter discusses also the occurrence of phase transitions in mean field models and the implication that these models do not belong to the exponential family.

競(jìng)選運(yùn)動(dòng)

Canyon

Tsallis’ Thermostatisticstion with the q-exponential family is investigated. It is clarified by an explicit calculation for the two-level atom. Next follows a discussion of the two types of relative entropies found in the literature.

流動(dòng)性

Probability Distributions in Statistical PhysicsBoltzmann-Gibbs-von Neumann distribution of an ideal quantum gas. This Chapter can be used as an introduction in a second course of statistical physics, or in a first course for more mathematically oriented students. The contents is fairly traditional, but is usually dispersed over many chapters. By

Keratin

Thermodynamic Equilibriumwhich is called the variational principle, and which expresses that the free energy of an equilibrium state is minimal. The definition of relative entropy is given. Thermodynamic stability is shortly discussed.

沒(méi)花的是打擾

The Mean Field Approximation Doing so allows for a further generalisation of the mean field approximation. This Chapter discusses also the occurrence of phase transitions in mean field models and the implication that these models do not belong to the exponential family.

沉思的魚(yú)

q-Deformed Distributionsilies. The notion of escort probability distributions is explained. The q-Gaussian and the q-Maxwellian are given as examples. The relevance of the q-deformed exponential family for closed systems of classical mechanics is demonstrated.

FIG