A. G. Basuev, “Hamiltonian of the phase separation border and phase transitions of the first kind. I”, TMF, 64:1 (1985), 103–129; Theoret. and Math. Phys., 64:1 (1985), 716

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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 64, Number 1, Pages 103–129 (Mi tmf4906)

This article is cited in 10 scientific papers (total in 10 papers)

Hamiltonian of the phase separation border and phase transitions of the first kind. I

A. G. Basuev

Full-text PDF (2681 kB) Citations (10)

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Abstract: The Pirogov–Sinai theory of phase transitions of the first kind is generalized to the case when the “ground states” of the Hamiltonian of the model are interacting random fields (disordered phases). Border Hamiltonians and corresponding Ursell functions are introduced, and also conditions on them (cluster estimates) that ensure the existence of phase transitions, analyticity of the thermodynamic and correlation functions in the region of stability of given phases, analyticity of the strata of the phase diagram, and convergence of the constructed cluster expansions.

Received: 01.03.1984

English version:
Theoretical and Mathematical Physics, 1985, Volume 64, Issue 1, Pages 716–734
DOI: https://doi.org/10.1007/BF01017040

Bibliographic databases:

Language: Russian

Citation: A. G. Basuev, “Hamiltonian of the phase separation border and phase transitions of the first kind. I”, TMF, 64:1 (1985), 103–129; Theoret. and Math. Phys., 64:1 (1985), 716–734

Citation in format AMSBIB

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\by A.~G.~Basuev

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\pages 103--129

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815101}

\transl

\jour Theoret. and Math. Phys.

\yr 1985

\vol 64

\issue 1

\pages 716--734

\crossref{https://doi.org/10.1007/BF01017040}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AYT5900011}

Linking options:

https://www.mathnet.ru/eng/tmf4906

https://www.mathnet.ru/eng/tmf/v64/i1/p103

Cycle of papers

Hamiltonian of the phase separation border and phase transitions of the first kind. I
A. G. Basuev
TMF, 1985, 64:1, 103–129
Hamiltonian of the phase separation border and phase transitions of the first kind. II. The simplest disordered phases
A. G. Basuev
TMF, 1987, 72:2, 255–268

This publication is cited in the following 10 articles:

Gibbs Measures and Phase Transitions, 2011, 495
A. G. Basuev, “Interphase Hamiltonian and first-order phase transitions: A generalization of the Lee–Yang theorem”, Theoret. and Math. Phys., 153:1 (2007), 1434–1457
A. G. Basuev, “Ising model in half-space: A series of phase transitions in low magnetic fields”, Theoret. and Math. Phys., 153:2 (2007), 1539–1574
Aernout C. D. van Enter, Roberto Fernández, Alan D. Sokal, “Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory”, J Stat Phys, 72:5-6 (1993), 879
A. E. Mazel, Yu. M. Suhov, “Random surfaces with two-sided constraints: An application of the theory of dominant ground states”, J Stat Phys, 64:1-2 (1991), 111
J. Bricmont, J. Slawny, “Phase transitions in systems with a finite number of dominant ground states”, J Stat Phys, 54:1-2 (1989), 89
Gibbs Measures and Phase Transitions, 1988
S. N. Isakov, “Phase diagrams and singularity at the point of a phase transition of the first kind in lattice gas models”, Theoret. and Math. Phys., 71:3 (1987), 638–648
A. G. Basuev, “Hamiltonian of the phase separation border and phase transitions of the first kind. II. The simplest disordered phases”, Theoret. and Math. Phys., 72:2 (1987), 861–871
Milo? Zahradn�k, “Analyticity of low-temperature phase diagrams of lattice spin models”, J Stat Phys, 47:5-6 (1987), 725

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	370
Full-text PDF :	120
References:	64
First page:	1

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