Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

1 Sitaatiot (Scopus)
39 Lataukset (Pure)

Abstrakti

We investigate the Ising model in one, two, and three dimensions using a cumulant method that allows us to determine the Lee-Yang zeros from the magnetization fluctuations in small lattices. By doing so with increasing system size, we are able to determine the convergence point of the Lee-Yang zeros in the thermodynamic limit and thereby predict the occurrence of a phase transition. The cumulant method is attractive from an experimental point of view since it uses fluctuations of measurable quantities, such as the magnetization in a spin lattice, and it can be applied to a variety of equilibrium and nonequilibrium problems. We show that the Lee-Yang zeros encode important information about the rare fluctuations of the magnetization. Specifically, by using a simple ansatz for the free energy, we express the large-deviation function of the magnetization in terms of Lee-Yang zeros. This result may hold for many systems that exhibit a first-order phase transition.
AlkuperäiskieliEnglanti
Artikkeli174418
Sivumäärä12
JulkaisuPhysical Review B
Vuosikerta102
Numero17
DOI - pysyväislinkit
TilaJulkaistu - 12 marraskuuta 2020
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

Sormenjälki

Sukella tutkimusaiheisiin 'Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model'. Ne muodostavat yhdessä ainutlaatuisen sormenjäljen.

Siteeraa tätä