Anomalous binder cumulant and lack of self-averageness in systems with quenched disorder

Hyunsuk Hong*, Hyunggyu Park, Lei Han TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

The Binder cumulant (BC) has been widely used for locating the phase transition point accurately in systems with thermal noise. In systems with quenched disorder, the BC may show subtle finite-size effects due to large sample-to-sample fluctuations. We study the globally coupled Kuramoto model of interacting limit-cycle oscillators with random natural frequencies and find an anomalous dip in the BC near the transition. We show that the dip is related to non-self-averageness of the order parameter at the transition. Alternative definitions of the BC, which do not show any anomalous behavior regardless of the existence of non-self-averageness, are proposed.

Original languageEnglish
Pages (from-to)L1885-L1889
JournalJournal of the Korean Physical Society
Volume49
Issue number5
Publication statusPublished - Nov 2006

Scopus Subject Areas

  • Physics and Astronomy(all)

User-Defined Keywords

  • Binder cumulant
  • Quenched disorder
  • Self-averageness

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