First-order Phase Transitions in Finite Systems I: Periodic Boundary Conditions

First-order Phase Transitions in Finite Systems I: Periodic Boundary Conditions

We briefly review rigorous results on the finite-size effect near first-order phase transitions at which a two-phase coexistence takes place. We consider a large class of statistical mechanical models in (hyper)cubic volumes with periodic boundary conditions at low temperatures. The results show a u...

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Bibliographic Details
Main Author: Igor Medved
Format: Article
Language:English
Published: VSB-Technical University of Ostrava 2005-01-01
Series:Advances in Electrical and Electronic Engineering
Subjects:
boundary
models
temperatures.
Online Access:http://advances.utc.sk/index.php/AEEE/article/view/483
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spelling doaj-6f761543f902406cb92a1639cf57a63e2021-10-11T08:02:59ZengVSB-Technical University of OstravaAdvances in Electrical and Electronic Engineering1336-13761804-31192005-01-01413135290First-order Phase Transitions in Finite Systems I: Periodic Boundary ConditionsIgor MedvedWe briefly review rigorous results on the finite-size effect near first-order phase transitions at which a two-phase coexistence takes place. We consider a large class of statistical mechanical models in (hyper)cubic volumes with periodic boundary conditions at low temperatures. The results show a universal behavior of the asymptotic smoothing of the phase transition discontinuities. The determination of the transition point fromhttp://advances.utc.sk/index.php/AEEE/article/view/483boundarymodelstemperatures.
collection DOAJ
language English
format Article
sources DOAJ
author Igor Medved
spellingShingle Igor Medved
First-order Phase Transitions in Finite Systems I: Periodic Boundary Conditions
Advances in Electrical and Electronic Engineering
boundary
models
temperatures.
author_facet Igor Medved
author_sort Igor Medved
title First-order Phase Transitions in Finite Systems I: Periodic Boundary Conditions
title_short First-order Phase Transitions in Finite Systems I: Periodic Boundary Conditions
title_full First-order Phase Transitions in Finite Systems I: Periodic Boundary Conditions
title_fullStr First-order Phase Transitions in Finite Systems I: Periodic Boundary Conditions
title_full_unstemmed First-order Phase Transitions in Finite Systems I: Periodic Boundary Conditions
title_sort first-order phase transitions in finite systems i: periodic boundary conditions
publisher VSB-Technical University of Ostrava
series Advances in Electrical and Electronic Engineering
issn 1336-1376
1804-3119
publishDate 2005-01-01
description We briefly review rigorous results on the finite-size effect near first-order phase transitions at which a two-phase coexistence takes place. We consider a large class of statistical mechanical models in (hyper)cubic volumes with periodic boundary conditions at low temperatures. The results show a universal behavior of the asymptotic smoothing of the phase transition discontinuities. The determination of the transition point from
topic boundary
models
temperatures.
url http://advances.utc.sk/index.php/AEEE/article/view/483
work_keys_str_mv AT igormedved firstorderphasetransitionsinfinitesystemsiperiodicboundaryconditions
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