Phase Transitions in the Blume–Capel Model with Trimodal and Gaussian Random Fields

Soheli Mukherjee, Sumedha

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We study the effect of different symmetric random field distributions: trimodal and Gaussian on the phase diagram of the infinite range Blume–Capel model. For the trimodal random field, the model has a very rich phase diagram. We find three new ordered phases, multicritical points like tricritical point (TCP), bicritical end point (BEP), critical end point (CEP) along with some multi-phase coexistence points. We also find re-entrance at low temperatures for some values of the parameters. On the other hand for the Gaussian distribution the phase diagram consists of a continuous line of transition followed by a first order transition line, meeting at a TCP. The TCP vanishes for higher strength of the random field. In contrast to the trimodal case, in Gaussian case no new phase emerges.

Original languageEnglish
Article number22
JournalJournal of Statistical Physics
Issue number3
StatePublished - 1 Sep 2022
Externally publishedYes


  • Disordered systems
  • Phase transition
  • Quenched disorder
  • Random field

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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