Ising fog drip: the shallow puddle, $o\left(N\right)$ deep

Ioffe, Dima, and Shlosman, Senya. "Ising fog drip: the shallow puddle, $o(N)$ deep." Actes des rencontres du CIRM 2.1 (2010): 31-36. <http://eudml.org/doc/115847>.

@article{Ioffe2010,
abstract = {This is an abstract of a work in progress. The first part – Ising model fog drip: the first two droplets – is published in “In and Out of Equilibrium 2”, Progress in Probability, Birkhauser, 2008.We study the model of the stalagmite formation. It is a result of the dew-fall effect, when the concentration of the vapor exceeds the saturation point. It turns out that the growth process has discontinuities, when a new atomic monolayer is created spontaneously. An interesting feature of the process is that the size of each newly born monolayer has to exceed some critical size $C_cr N$, where $N$ is the linear size of our 3D system. The study boils down to the investigation of the ensemble of the nested random loops in 2D, which are under the influence of two competing mechanisms: entropic repulsion and weak attraction.},
affiliation = {Faculty of IE&M Technion Haifa 3200 Israel; Centre de Physique Theorique, CNRS, Luminy Case 907, 13288 Marseille, Cedex 9, France and Inst. of the Information Transmission Problems, RAS, Moscow, Russia},
author = {Ioffe, Dima, Shlosman, Senya},
journal = {Actes des rencontres du CIRM},
language = {eng},
month = {12},
number = {1},
pages = {31-36},
publisher = {CIRM},
title = {Ising fog drip: the shallow puddle, $o(N)$ deep},
url = {http://eudml.org/doc/115847},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Ioffe, Dima
AU - Shlosman, Senya
TI - Ising fog drip: the shallow puddle, $o(N)$ deep
JO - Actes des rencontres du CIRM
DA - 2010/12//
PB - CIRM
VL - 2
IS - 1
SP - 31
EP - 36
AB - This is an abstract of a work in progress. The first part – Ising model fog drip: the first two droplets – is published in “In and Out of Equilibrium 2”, Progress in Probability, Birkhauser, 2008.We study the model of the stalagmite formation. It is a result of the dew-fall effect, when the concentration of the vapor exceeds the saturation point. It turns out that the growth process has discontinuities, when a new atomic monolayer is created spontaneously. An interesting feature of the process is that the size of each newly born monolayer has to exceed some critical size $C_cr N$, where $N$ is the linear size of our 3D system. The study boils down to the investigation of the ensemble of the nested random loops in 2D, which are under the influence of two competing mechanisms: entropic repulsion and weak attraction.
LA - eng
UR - http://eudml.org/doc/115847
ER -