The T=0 random-field Ising model on a Bethe lattice with large coordination number: hysteresis and metastable states - Condensed Matter > Disordered Systems and Neural NetworksReportar como inadecuado




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Abstract: In order to elucidate the relationship between rate-independent hysteresisand metastability in disordered systems driven by an external field, we studythe Gaussian RFIM at T=0 on regular random graphs Bethe lattice of finiteconnectivity z and compute to O1-z i.e.
beyond mean-field the quenchedcomplexity associated with the one-spin-flip stable states with magnetization mas a function of the magnetic field H.
When the saturation hysteresis loop issmooth in the thermodynamic limit, we find that it coincides with the envelopeof the typical metastable states the quenched complexity vanishes exactlyalong the loop and is positive everywhere inside.
On the other hand, theoccurence of a jump discontinuity in the loop associated with an infiniteavalanche can be traced back to the existence of a gap in the magnetization ofthe metastable states for a range of applied field, and the envelope of thetypical metastable states is then reentrant.
These findings confirm andcomplete earlier analytical and numerical studies.



Autor: M.L.
Rosinberg, G.
Tarjus, F.J.
Perez-Reche


Fuente: https://arxiv.org/



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