Rigorous probabilistic analysis of equilibrium crystal shapes

Bodineau, T.; Ioffe, D.; Velenik, Yvan

doi:10.1063/1.533180

Scientific article

English

Rigorous probabilistic analysis of equilibrium crystal shapes

Contributors

Bodineau, T.; Ioffe, D.; Velenik, Yvan

Published in

Journal of mathematical physics, vol. 41, no. 3

Publication date

2000

Abstract

The rigorous microscopic theory of equilibrium crystal shapes has made enormous progress during the last decade. We review here the main results that have been obtained, both in two and higher dimensions. In particular, we describe how the phenomenological Wulff and Winterbottom constructions can be derived from the microscopic description provided by the equilibrium statistical mechanics of lattice gases. We focus on the main conceptual issues and describe the central ideas of the existing approaches.

UNIGE affiliation entities

Not a UNIGE publication

Citation (ISO format)

BODINEAU, T., IOFFE, D., VELENIK, Yvan. Rigorous probabilistic analysis of equilibrium crystal shapes. In: Journal of mathematical physics, 2000, vol. 41, n° 3. doi: 10.1063/1.533180

Article (Accepted version)

Identifiers

PID : unige:6376
DOI : 10.1063/1.533180

Journal ISSN

0022-2488

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Creation

26/04/2010 14:14:00

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26/04/2010 14:14:00

Update

14/03/2023 15:28:20

Status update

14/03/2023 15:28:20

Last indexation

29/10/2024 14:41:11

Rigorous probabilistic analysis of equilibrium crystal shapes

Contributors

Published in

Publication date

Abstract

UNIGE affiliation entities

Citation (ISO format)

Main files (1)

Identifiers

Journal ISSN

Technical informations

Creation

First validation

Update

Status update

Last indexation