Probabilities of the existence of different states of a cluster with 13 Ar atoms

Gufan, M. A.; Gufan, Yu. M.; Naskalova, O. V.; Novakovich, A. A.

doi:10.3103/s1062873815110118

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An Algorithm For Building Phenomenological Models Of Phase T1

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2016

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“…We assume that a smooth function F of n variables is given. Then, near the singular critical point (which without loss of generality can be taken as the zero point) function F can be expanded into a formal (i.e., not obligatorily convergent) Taylor series by powers of x i (3) where q = (q 1 , …, q n ).…”

Section: An Algorithm For Building Phenomenological Models Of Phase Tmentioning

confidence: 99%

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The construction of phenomenological models of phase transitions using equivariant catastrophe theory methods

Павлов

2016

Moscow Univ. Phys.

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A method for the construction of phenomenological models of phase transitions using the equivariant theory of singularities of differentiable maps with the symmetry of the order parameter (the equivariant catastrophe theory) is considered. This method differs from the traditional series expansion in powers of the order parameter in that, firstly, there is no requirement that the order parameters be small, and only the number of thermodynamic parameters that are varied in the experiment (temperature, pressure, etc.) is given; secondly, derived models have structural stability for an adequate description of the anomalies of the physical properties near the phase transitions. As an example to illustrate the method, a model of phase transitions with a two-component order parameter is constructed.. 71 No. 2 2016 PAVLOV 2 . 2 4 U J J J U J J J

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Section: An Algorithm For Building Phenomenological Models Of Phase Tmentioning

confidence: 99%

“…Nevertheless the general problem allows one to perform a complete analysis of a phase diagram. Theory-group analysis [1][2][3][4][5][6] represents the most elaborated method for solving the initial problem.…”

Section: Introductionmentioning

confidence: 99%

The construction of phenomenological models of phase transitions using equivariant catastrophe theory methods

Павлов

2016

Moscow Univ. Phys.

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show abstract

Probabilities of the existence of different states of a cluster with 13 Ar atoms

Cited by 1 publication

References 13 publications

The construction of phenomenological models of phase transitions using equivariant catastrophe theory methods

The construction of phenomenological models of phase transitions using equivariant catastrophe theory methods

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