Geodesic
Possible scenarios of a phase transition from isotropic liquid to a hexatic phase in the theory of melting in two-dimensional systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 1, pp. 147-157 Cet article a éte moissonné depuis la source Math-Net.Ru

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A two-stage process consisting of two continuous Berezinskii–Kosterlitz–Thouless-type transitions with an intermediate anisotropic liquid, a hexatic phase, is a well-known scenario of melting in two-dimensional systems. A direct first-order transition, similar to melting in three-dimensional systems, is another scenario variant. We prove the possibility in principle of the existence of a third scenario according to which melting occurs via two transitions, but in contrast to predictions of the Berezinskii–Kosterlitz–Thouless theory, the transition from an isotropic liquid to a hexatic phase is a first-order transition. Such a scenario was recently observed in a computer simulation of two-dimensional systems and then in a real experiment. Our proof is based on an analysis of branching solutions of an exact closed nonlinear integral equation for a two-particle conditional distribution function.
Keywords: melting in two-dimensional systems, density functional method.
Mots-clés : hexatic phase 
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V. N. Ryzhov; E. E. Tareeva. Possible scenarios of a phase transition from isotropic liquid to a hexatic phase in the theory of melting in two-dimensional systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 1, pp. 147-157. http://geodesic.mathdoc.fr/item/TMF_2019_200_1_a8/

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