Nonstandard Finite-Size Scaling at First-Order Phase Transitions

Marco Mueller, Wolfhard Janke, Desmond Alexander Johnston

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)
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We note that the standard inverse system volume scaling for finite-size corrections at a first-order phase transition (i.e., 1=L^3 for an L×L×L lattice in 3D) is transmuted to 1/L^2 scaling if there is an exponential low-temperature phase degeneracy. The gonihedric Ising model which has a four-spin interaction, plaquette Hamiltonian provides an exemplar of just such a system. We use multicanonical simulations of this model to generate high-precision data which provide strong confirmation of the nonstandard finite-size scaling law. The dual to the gonihedric model, which is an anisotropically coupled Ashkin-Teller model, has a similar degeneracy and also displays the nonstandard scaling.
Original languageEnglish
Article number200601
Number of pages5
JournalPhysical Review Letters
Early online date19 May 2014
Publication statusPublished - 19 May 2014


  • phase transitions
  • spin models


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