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TMF, 2018, Volume 194, Number 2, Pages 224–258 (Mi tmf9399)  

This article is cited in 1 scientific paper (total in 1 paper)

Phase space of collective variables and the Zubarev transition function

I. R. Yukhnovskii

Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, Lviv, Ukraine

Abstract: 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.

Keywords: collective variables, Jacobian, theory of electrolytes, quartic measure density, Ising model, first-order phase transitions.

DOI: https://doi.org/10.4213/tmf9399

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English version:
Theoretical and Mathematical Physics, 2018, 194:2, 189–219

Bibliographic databases:

PACS: 05.70.Jk, 64.70.F-, 64.60.F-
Received: 11.05.2017
Revised: 23.05.2017

Citation: I. R. Yukhnovskii, “Phase space of collective variables and the Zubarev transition function”, TMF, 194:2 (2018), 224–258; Theoret. and Math. Phys., 194:2 (2018), 189–219

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Kozlovskii M.P., Pylyuk V I., Dobush O.A., “The Equation of State of a Cell Fluid Model in the Supercritical Region”, Condens. Matter Phys., 21:4 (2018), 43502  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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