Zero-temperature hysteresis in the random-field Ising model on a Bethe lattice

Journal of Physics A: Mathematical and General

Volumn 30, Issue 15, 1997, Pages 5259-5267

  Dhar, Deepak ^a,c   Shukla, Prabodh ^b,c   Sethna, James P ^d  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^b NORTH EASTERN HILL UNIVERSITY   (India)

^c ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^d Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031558291     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/15/013     Document Type: Article

References (26)

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2. Sethna J P, Dahmen K, Kartha S, Krumhansl J A, Roberts B W and Shore J D 1993 Phys. Rev. Lett. 70 3347 Perković O, Dahmen K and Sethna J P 1995 Phys. Rev. Lett. 75 4528 Dahmen K and Sethna J P 1996 Phys. Rev. B 53 14 872
3. Sethna J P, Dahmen K, Kartha S, Krumhansl J A, Roberts B W and Shore J D 1993 Phys. Rev. Lett. 70 3347 Perković O, Dahmen K and Sethna J P 1995 Phys. Rev. Lett. 75 4528 Dahmen K and Sethna J P 1996 Phys. Rev. B 53 14 872
4. Brien K P O and Weissman M B 1994 Phys. Rev. E 50 3446 and references therein
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6. Shukla P 1996 Physica 233A 235 Shukla P 1996 Physica 233A 242
7. Shukla P 1996 Physica 233A 235 Shukla P 1996 Physica 233A 242
8. The RFIM on the Bethe lattice with a bivariate quenched random field and no external uniform field has been studied earlier. See, e.g. Bruinsma R 1984 Phys. Rev. B 30 287 and references cited therein
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17. For a recent review of the random-field Ising model, see Natterman T 1997 Preprint cond-mat 9705295
18. See, for example, Kawasaki K 1972 Phase Transitions and Critical Phenomena vol 2, ed C Domb and M S Green (London: Academic)
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25. Bollobas B 1985 Random Graphs (London: Academic) p 53
26. This problem has been studied earlier by Maslov S and Olami Z 1993 unpublished