Cascade effects in a nonequilibrium phase transition with metallurgical relevance

P. Bellon, G. Martin

Research output: Contribution to journalArticlepeer-review


The order-disorder transition (antiferromagnetic with conserved total spin) is studied when atomic exchanges result from two processes in parallel, as is the case under energetic particle irradiation: thermally activated jumps and ballistic jumps. The latter favor fully disordered configurations (infinite-temperature dynamics), while the former tend to restore some degree of order. The appropriate mean-field phase diagram is established. A tricritical point is identified below which the nonequilibrium order-disorder transition becomes first order. Stochastic effects are addressed by master-equation and Fokker-Planck equation techniques. Introducing ballistic jumps by bursts (replacement cascades) does not change the steady-state values of the order parameter but definitely affects their respective stability. Below the tricritical temperature, cascade effects shift the phase boundary of the first-order transition towards the spinodal ordering line.

Original languageEnglish (US)
Pages (from-to)2403-2410
Number of pages8
JournalPhysical Review B
Issue number4
StatePublished - 1989
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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