Phase transition in the Ising model on a small-world network with distance-dependent interactions

Daun Jeong; H. Hong; Beom Jun Kim; M. Y. Choi

Phase transition in the Ising model on a small-world network with distance-dependent interactions

Daun Jeong^*
, H. Hong
, Beom Jun Kim
, M. Y. Choi

^*Corresponding author for this work

Department of Physics

Seoul National University
Korea Institute for Advanced Study
Ajou University

Research output: Contribution to journal › Journal article › peer-review

29 Scopus citations

Abstract

The Ising model on small-world networks with the interaction decaying algebraically with exponent α was studied. Extensive Monte Carlo simulations on the networks with the probability for adding shortcuts given by P=0.5 and 1 were performed. In both cases, absence of a finite-temperature transition was observed at any nonzero value of α.

Original language	English
Article number	027101
Pages (from-to)	027101/1-027101/4
Journal	Physical Review E
Volume	68
Issue number	2 2
State	Published - 2003.08

Cite this

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title = "Phase transition in the Ising model on a small-world network with distance-dependent interactions",

abstract = "The Ising model on small-world networks with the interaction decaying algebraically with exponent α was studied. Extensive Monte Carlo simulations on the networks with the probability for adding shortcuts given by P=0.5 and 1 were performed. In both cases, absence of a finite-temperature transition was observed at any nonzero value of α.",

author = "Daun Jeong and H. Hong and Kim, \{Beom Jun\} and Choi, \{M. Y.\}",

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AU - Jeong, Daun

AU - Hong, H.

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AU - Choi, M. Y.

PY - 2003/8

Y1 - 2003/8

N2 - The Ising model on small-world networks with the interaction decaying algebraically with exponent α was studied. Extensive Monte Carlo simulations on the networks with the probability for adding shortcuts given by P=0.5 and 1 were performed. In both cases, absence of a finite-temperature transition was observed at any nonzero value of α.

AB - The Ising model on small-world networks with the interaction decaying algebraically with exponent α was studied. Extensive Monte Carlo simulations on the networks with the probability for adding shortcuts given by P=0.5 and 1 were performed. In both cases, absence of a finite-temperature transition was observed at any nonzero value of α.

UR - https://www.scopus.com/pages/publications/42749101070

M3 - Journal article

AN - SCOPUS:42749101070

SN - 2470-0045

VL - 68

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JO - Physical Review E

JF - Physical Review E

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Phase transition in the Ising model on a small-world network with distance-dependent interactions

Abstract

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