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Journal of Statistical Physics

, Volume 39, Issue 3–4, pp 367–377 | Cite as

Zero temperature magnetization of a one-dimensional spin glass

  • E. Gardner
  • B. Derrida
Articles

Abstract

We calculate the zero temperature magnetizationm of a one-dimensional Ising spin glass is a weak magnetic fieldh. We show thatm∼Ch x and give closed expressions for the constantC and the exponentx which both depend on the probability distribution of nearest-neighbor interactions.

Key words

Spin glass Ising chain magnetization 

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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • E. Gardner
    • 1
  • B. Derrida
    • 2
    • 3
  1. 1.Service de Physique Théorique, CEN-SaclayGif sur Yvette, CedexFrance
  2. 2.Service de Physique Théorique, CEN-SaclayGif sur Yvette, CedexFrance
  3. 3.Department of PhysicsThe Weizmann Institute of ScienceIsrael

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