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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{TMF_2019_200_1_a8,
     author = {V. N. Ryzhov and E. E. Tareeva},
     title = {Possible scenarios of a~phase transition from isotropic liquid to a~hexatic phase in the~theory of melting in two-dimensional systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {147--157},
     publisher = {mathdoc},
     volume = {200},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_200_1_a8/}
}
TY  - JOUR
AU  - V. N. Ryzhov
AU  - E. E. Tareeva
TI  - Possible scenarios of a~phase transition from isotropic liquid to a~hexatic phase in the~theory of melting in two-dimensional systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2019
SP  - 147
EP  - 157
VL  - 200
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2019_200_1_a8/
LA  - ru
ID  - TMF_2019_200_1_a8
ER  - 
%0 Journal Article
%A V. N. Ryzhov
%A E. E. Tareeva
%T Possible scenarios of a~phase transition from isotropic liquid to a~hexatic phase in the~theory of melting in two-dimensional systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2019
%P 147-157
%V 200
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2019_200_1_a8/
%G ru
%F TMF_2019_200_1_a8
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/