%0 Unpublished work
%T Phase Transition in the 1d Random Field ising model with long range interaction
%+ Dipartimento di Fisica
%+ Dipartimento di Matematica [Roma TRE]
%+ Laboratoire d'Analyse, Topologie, Probabilités (LATP)
%A Cassandro, Marzio
%A Orlandi, Enza
%A Picco, Pierre
%Z GDRE 224, GREFI-MEFI CNRS-INdAM INdAM Program Professori Visitatori 2007
%8 2008-04-22
%D 2008
%Z 0804.3672
%K Phase transition
%K long range interaction
%Z AMS 2000 Math. Subject Classification Primary 60K35, secondary 82B20,82B43
%Z Mathematics [math]/Probability [math.PR]Preprints, Working Papers, ...
%X We study the one dimensional Ising model with ferromagnetic, long range interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an external random filed. we assume that the random field is given by a collection of independent identically distributed random variables, subgaussian with mean zero. We show that for temperature and strength of the randomness (variance) small enough with P=1 with respect to the distribution of the random fields there are at least two distinct extremal Gibbs measures.
%G English
%Z GDRE 224
%Z GREFI-MEFI CNRS-INdAM
%2 https://hal.science/hal-00275312v2/document
%2 https://hal.science/hal-00275312v2/file/Dicembre3.pdf
%L hal-00275312
%U https://hal.science/hal-00275312
%~ LATP
%~ CNRS
%~ UNIV-AMU
%~ I2M