Glassy Behaviour of Random Field on Bethe Lattice in an External Magnetic Field | ||
| Egyptian Journal of Solids | ||
| Article 2, Volume 32, Issue 2, 2009, Pages 111-128 PDF (449.12 K) | ||
| DOI: 10.21608/ejs.2009.148785 | ||
| Abstract | ||
| The thermodynamics of random field Ising model (RFIM) on Bethe lattice is studied by using the replica trick (Bethe lattice is placed in an external magnetic field (B)). A Gaussian distribution for random field with variance 2 RF 2 i h = H is considered. The free-energy (F), magnetization (M), order parameter (q), susceptibility ( χ ) and internal energy (U) are calculated. The phase diagram is investigated at different values of co-ordination number z = 3,4,5,6 and z → ∞ . The phase diagram shows several interesting behaviours and present tricritical point at critical temperatureT J k c = / , = 0 RF H for finite co-ordination number (z). The critical temperature ( c T ) and the corresponding value of RF H are found. Finally, we compare our results with the recent results obtained before for spins glasses. | ||
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