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Effect of random field disorder on the first order transition in p-spin interaction model

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  • Sumedha,
  • Singh, Sushant K.

Abstract

We study the random field p-spin model with Ising spins on a fully connected graph using the theory of large deviations in this paper. This is a good model to study the effect of quenched random field on systems which have a sharp first order transition in the pure state. For p=2, the phase-diagram of the model, for bimodal distribution of the random field, has been well studied and is known to undergo a continuous transition for lower values of the random field (h) and a first order transition beyond a threshold, htp(≈0.439). We find the phase diagram of the model, for all p≥2, with bimodal random field distribution, using large deviation techniques. We also look at the fluctuations in the system by calculating the magnetic susceptibility. For p=2, beyond the tricritical point in the regime of first order transition, we find that for htpho=1/p!), the system does not show ferromagnetic order even at zero temperature. We find that the magnetic susceptibility for p≥3 is discontinuous at the transition point for h

Suggested Citation

  • Sumedha, & Singh, Sushant K., 2016. "Effect of random field disorder on the first order transition in p-spin interaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 276-283.
    • Handle: RePEc:eee:phsmap:v:442:y:2016:i:c:p:276-283
    DOI: 10.1016/j.physa.2015.09.032
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