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Soft mode in the class of exactly soluble models of phase transitions

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  • Radosz, Andrzej

Abstract

The temperature dependence of susceptibility of a class of exactly soluble models of phase transitions is discussed. Instead of a Goldstone mode-type behaviour found in earlier treatments it is shown that this function reveals a quite rich structure. Inverse susceptibility vanishes in the ordered phase for d⩽dc=4 and has a singularity at T=0, but is a continuous function of temperature for d > 4 with a classical critical index, γ′=1. Such a characteristic behaviour is probably associated with a non-ergodic behaviour in the former case (d⩽dc) and an ergodic behaviour in the latter case (d >dc); a similar singularity of the susceptibility function (d⩽dc) is found for a spherical model.

Suggested Citation

  • Radosz, Andrzej, 1990. "Soft mode in the class of exactly soluble models of phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(2), pages 853-866.
    • Handle: RePEc:eee:phsmap:v:168:y:1990:i:2:p:853-866
    DOI: 10.1016/0378-4371(90)90034-P
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    References listed on IDEAS

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    1. Plakida, N.M. & Tonchev, N.S., 1986. "Quantum effects in a d-dimensional exactly solvable model for a structural phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(1), pages 176-188.
    2. Tonchev, N.S. & Uzunov, D.I., 1985. "On the tricritical Lifshitz behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(1), pages 265-273.
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