Abstract:
Cluster expansion of the Hamiltonian of the phase separating boundary is introduced
and the conditions on this expansion are found which guarantee the validity of
the results obtained in the first part of this paper. The results are applied to manycomponent
models with the block structure of the matrix of nearest neighbours interaction
and also to non-finite perturbations of such models, to perturbations of the Potts
model at large N and to one of the models of the “gas – rigid crystal” type.
Citation:
A. G. Basuev, “Hamiltonian of the phase separation border and phase transitions of the first kind. II. The simplest disordered phases”, TMF, 72:2 (1987), 255–268; Theoret. and Math. Phys., 72:2 (1987), 861–871
This publication is cited in the following 4 articles:
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
Hans-Otto Georgii, Olle Häggström, Christian Maes, Phase Transitions and Critical Phenomena, 18, 2001, 1
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
Citation in format AMSBIB
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