Transmuted Finite-size Scaling at First-order Phase Transitions

Marco Mueller, Wolfhard Janke, Desmond Alexander Johnston

Research output: Contribution to journalArticle

6 Citations (Scopus)
40 Downloads (Pure)

Abstract

It is known that fixed boundary conditions modify the leading finite-size corrections for an L3 lattice in 3d at a first-order phase transition from 1/L3 to 1/L. We note that an exponential low-temperature phase degeneracy of the form 23L will lead to a different leading correction of order 1/L2. A 3d gonihedric Ising model with a four-spin interaction, plaquette Hamiltonian displays such a degeneracy and we confirm the modified scaling behaviour using high-precision multicanonical simulations. We remark that other models such as the Ising antiferromagnet on the FCC lattice, in which the number of "true" low-temperature phases is not macroscopically large but which possess an exponentially degenerate number of low lying states may display an effective version of the modified scaling law for the range of lattice sizes accessible in simulations.
Original languageEnglish
Pages (from-to)68-72
Number of pages5
JournalPhysics Procedia
Volume57
Issue numberC
DOIs
Publication statusPublished - 26 Oct 2014

Keywords

  • Statistical mechanics
  • Numerical simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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