Size effects in finite systems with long-range interactions

Small systems consisting of particles interacting with long-range potentials exhibit enormous size effects. The Tsallis conjecture [Tsallis, Fractals 3, 541 (1995)], valid for translationally invariant systems with long-range interactions, states a well-known scaling relating different sizes. Here w...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Loscar, Ernesto Selim, Horowitz, Claudio Maximiliano
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Física
Efectos de tamaño finito
Interacciones de largo alcance
Magnetización de pequeños sistemas
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/98887
https://ri.conicet.gov.ar/11336/93377
https://link.aps.org/doi/10.1103/PhysRevE.97.032103
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-98887
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Efectos de tamaño finito
Interacciones de largo alcance
Magnetización de pequeños sistemas
spellingShingle Física
Efectos de tamaño finito
Interacciones de largo alcance
Magnetización de pequeños sistemas
Loscar, Ernesto Selim
Horowitz, Claudio Maximiliano
Size effects in finite systems with long-range interactions
topic_facet Física
Efectos de tamaño finito
Interacciones de largo alcance
Magnetización de pequeños sistemas
description Small systems consisting of particles interacting with long-range potentials exhibit enormous size effects. The Tsallis conjecture [Tsallis, Fractals 3, 541 (1995)], valid for translationally invariant systems with long-range interactions, states a well-known scaling relating different sizes. Here we propose to generalize this conjecture to systems with this symmetry broken, by adjusting one parameter that determines an effective distance to compute the strength of the interaction. We apply this proposal to the one-dimensional Ising model with ferromagnetic interactions that decay as 1/r1+σ in the region where the model has a finite critical temperature.We demonstrate the convenience of using this generalization to study finite-size effects, and we compare this approach with thefinite-size scaling theory.
format Articulo
Articulo
author Loscar, Ernesto Selim
Horowitz, Claudio Maximiliano
author_facet Loscar, Ernesto Selim
Horowitz, Claudio Maximiliano
author_sort Loscar, Ernesto Selim
title Size effects in finite systems with long-range interactions
title_short Size effects in finite systems with long-range interactions
title_full Size effects in finite systems with long-range interactions
title_fullStr Size effects in finite systems with long-range interactions
title_full_unstemmed Size effects in finite systems with long-range interactions
title_sort size effects in finite systems with long-range interactions
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/98887
https://ri.conicet.gov.ar/11336/93377
https://link.aps.org/doi/10.1103/PhysRevE.97.032103
work_keys_str_mv AT loscarernestoselim sizeeffectsinfinitesystemswithlongrangeinteractions
AT horowitzclaudiomaximiliano sizeeffectsinfinitesystemswithlongrangeinteractions
bdutipo_str Repositorios
_version_ 1764820492643991554

Ejemplares similares