Berezinskii–Kosterlitz–Thouless transition and two-dimensional melting

VN Ryzhov, EE Tareyeva, YD Fomin… - Physics-Uspekhi, 2017 - iopscience.iop.org
The main aspects of the theory of phase transitions in two-dimensional degenerate systems
(Berezinskii–Kosterlitz–Thouless, or BKT, transitions) are reviewed in detail, including the …

Переход Березинского—Костерлица—Таулеса и двумерное плавление

ВН Рыжов, ЕЕ Тареева, ЮД Фомин, ЕН Циок - Успехи физических наук, 2017 - ufn.ru
Подробно изложены основные положения теории фазовых переходов в плоских
вырожденных системах (переходов Березинского-Костерлица-Таулеса ì БКТ) …

Density affects the nature of the hexatic-liquid transition in two-dimensional melting of soft-core systems

M Zu, J Liu, H Tong, N Xu - Physical review letters, 2016 - APS
We find that both continuous and discontinuous hexatic-liquid transitions can happen in the
melting of two-dimensional solids of soft-core disks. For three typical model systems …

How dimensionality changes the anomalous behavior and melting scenario of a core-softened potential system?

DE Dudalov, YD Fomin, EN Tsiok, VN Ryzhov - Soft Matter, 2014 - pubs.rsc.org
We present a computer simulation study of the phase diagram and anomalous behavior of
two-dimensional (2D) and three-dimensional (3D) classical particles repelling each other …

Random pinning changes the melting scenario of a two-dimensional core-softened potential system

EN Tsiok, DE Dudalov, YD Fomin, VN Ryzhov - Physical Review E, 2015 - APS
In experiments two-dimensional systems are realized mainly on solid substrates, which
introduce quenched disorder due to some inherent defects. The defects of substrates …

Effect of a potential softness on the solid-liquid transition in a two-dimensional core-softened potential system

DE Dudalov, EN Tsiok, YD Fomin… - The Journal of Chemical …, 2014 - pubs.aip.org
In the present paper, using a molecular dynamics simulation, we study a nature of melting of
a two-dimensional (2D) system of classical particles interacting through a purely repulsive …

The phase diagram and melting scenarios of two-dimensional Hertzian spheres

YD Fomin, EA Gaiduk, EN Tsiok, VN Ryzhov - Molecular Physics, 2018 - Taylor & Francis
We present computer simulations of a system of purely repulsive soft colloidal particles
interacting via the Hertz potential and constrained to a two-dimensional plane. This potential …

Specific heat in two-dimensional melting

S Deutschländer, AM Puertas, G Maret, P Keim - Physical review letters, 2014 - APS
We report the specific heat c N around the melting transition (s) of micrometer-sized
superparamagnetic particles confined in two dimensions, calculated from fluctuations of …

Random pinning elucidates the nature of melting transition in two-dimensional core-softened potential system

EN Tsiok, YD Fomin, VN Ryzhov - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
Despite about forty years of investigations, the nature of the melting transition in two
dimensions is not completely clear. In the framework of the most popular Berezinskii …

Phase behavior of a two-dimensional core-softened system: new physical insights

LA Padilla, A Ramírez-Hernández - Journal of Physics …, 2020 - iopscience.iop.org
In this work, we report results of extensive computer simulations regarding the phase
behavior of a core-softened system. By using structural and thermodynamic descriptors, as …