[Landau ITP Seminars] Colloquium Friday 29.10.2021 15:30

[Serge Krashakov]

Уважаемые коллеги!

В пятницу 29 октября *в 15:30* состоится онлайн-коллоквиум с докладом:

Александр Абанов (SUNY Stony Brook)
*Limit shape phase transitions. A merger of Arctic circles*

A limit shape phenomenon in statistical mechanics is the appearance of a 
most probable macroscopic state. This state is usually characterized by 
a well-defined boundary separating frozen and liquid spatial regions. 
The earliest studies related to this phenomenon in the context of 
crystal shapes are in works by Pokrovsky and Talapov [1]. We will review 
a few examples of the models leading to the appearance of limit shapes. 
Then we consider a class of topological phase transitions in the limit 
shape problem of statistical mechanics. The problem considered is 
generally known as the Arctic circle problem. The considered transition 
can be visualized as the merging of two melted regions (Arctic circles). 
We establish the mapping, which identifies the transition as the 
transition known in lattice QCD and random matrix problems [2,3]. The 
transition is a continuous phase transition of the third order. We 
identify universal features of the limiting shape close to the 
transition using the hydrodynamic description.

[1] V. L. Pokrovsky and A. L. Talapov, Phys. Rev. Lett. 42, 65 (1979). 
"Ground State, Spectrum, and Phase Diagram of Two-Dimensional 
Incommensurate Crystals."
[2] D. J. Gross and E. Witten, Phys. Rev. D, 21 (2): 446, (1980). 
"Possible third-order phase transition in the large-n lattice gauge 
theory"; S. R. Wadia, Phys. Lett. B 93, 403 (1980). "N=∞ phase 
transition in a class of exactly soluble model lattice gauge theories."
[3] M. R. Douglas and V. A. Kazakov. Phys. Lett. B, 319 (1-3): 219–230, 
1993. "Large n phase transition in continuum QCD2."


ID и пароль онлайн-трансляции в Zoom те же, что и для предыдущих 
трансляций докладов на Ученом совете:
https://zoom.us/j/96899364518?pwd=MzBsR2lYT0lYL2x2b1oyNU9LeWlWUT09
Meeting ID: 968 9936 4518
Пароль: 250319

P.S.
В связи с объявленным в Москве и Московской области локдауном 
традиционного *семинара на Ученом совете в 12:30 не будет !*
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