Geodesic
Phase space of collective variables and the~Zubarev transition
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 2, pp. 224-258

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We study the completeness of the transition function $J(\rho-\hat\rho)$ to the infinite set of collective variables $\{\rho_{\mathbf k}\}$. Zubarev first introduced this transition function in statistical physics. We propose complete forms for the Jacobians of transitions to the corresponding sets of collective variables in problems in the theory of electrolyte solutions, the Ising model, and the first-order phase transition. We analyze the methods and calculation results in the phase spaces of collective variables of the partition functions of these systems.
Mots-clés : collective variables, Jacobian
Keywords: theory of electrolytes, quartic measure density, Ising model, first-order phase transitions. 
@article{TMF_2018_194_2_a1,
     author = {I. R. Yukhnovskii},
     title = {Phase space of collective variables and {the~Zubarev} transition},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {224--258},
     publisher = {mathdoc},
     volume = {194},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_194_2_a1/}
}
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I. R. Yukhnovskii. Phase space of collective variables and the~Zubarev transition. Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 2, pp. 224-258. http://geodesic.mathdoc.fr/item/TMF_2018_194_2_a1/