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Scaling and phase transitions in random systems

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  • Cieplak, Marek
  • Banavar, Jayanth R.

Abstract

The effects of randomness on the nature of ordering and phase transitions in magnetic systems will be discussed. A brief review as well as new results on the role of randomness (random exchange, random axis anisotropy, and random field) in determining the properties of spin systems (Ising, Potts, XY and Heisenberg) will be presented. Our results are applicable to phase transitions in porous media, the vortex glass phase in oxide superconductors, and conductance noise in mesoscopic spin glasses. Mean field theory, T = 0 scaling, transfer matrix, and approximate renormalization group techniques have been used to obtain our results.

Suggested Citation

  • Cieplak, Marek & Banavar, Jayanth R., 1993. "Scaling and phase transitions in random systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 63-71.
    • Handle: RePEc:eee:phsmap:v:194:y:1993:i:1:p:63-71
    DOI: 10.1016/0378-4371(93)90340-A
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    1. M. Husein Sawit, 1986. "Tingkat Upah Riil Buruh Tidak Terdidik Di Pedesaan Das Cimanuk: 1977 s/d 1983," Economics and Finance in Indonesia, Faculty of Economics and Business, University of Indonesia, vol. 34, pages 197-209.
    2. Brummelhuis, M.J.A.M. & Hilhorst, H.J., 1992. "How a random walk covers a finite lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 35-44.
    3. Spivak, Avia & Weinblatt, J. & Zilberfarb, B. Z., 1985. "Wage indexation and the variability of inflation : An empirical result," Economics Letters, Elsevier, vol. 17(4), pages 331-333.
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    Cited by:

    1. Rybka, Renata B. & Cieplak, Marek & Salin, Dominique, 1995. "Boltzmann cellular automata studies of the spinodal decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 222(1), pages 105-118.

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