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Phase behavior under the averaging over disorder realizations

Author

Listed:
  • Vakarin, E.V.
  • Dong, W.
  • Badiali, J.P.

Abstract

Effects of the averaging over disorder realizations (samples) on the phase behavior are analyzed in terms of the mean field approximation for the random field Ising model with infinite range interactions. It is found that the averaging is equivalent to a drastic modification in the statistics of the quenched variables. In its turn, this lowers the critical temperature of a second-order phase transition or, depending on the sampling, even suppresses the ordered phase. Possible first order transitions are shown to be softened by the sample averaging. Common issues and differences in the interpretation of these effects in the context of the simulation and experimental studies are discussed.

Suggested Citation

  • Vakarin, E.V. & Dong, W. & Badiali, J.P., 2015. "Phase behavior under the averaging over disorder realizations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 294-299.
    • Handle: RePEc:eee:phsmap:v:424:y:2015:i:c:p:294-299
    DOI: 10.1016/j.physa.2014.12.024
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