Dilution robustness for mean field ferromagnets
نویسندگان
چکیده
منابع مشابه
Dilution Robustness for Mean Field Ferromagnets
In this work we compare two different random dilutions on a mean field ferromagnet: the first model is built on a Bernoulli-diluted graph while the second lives on a Poisson-diluted one. While it is known that the two models have, in the thermodynamic limit, the same free energy, we investigate on the structural constraints that the two models must fulfill. We rigorously derive for each model t...
متن کاملMean Field in Long-Range Ferromagnets and Periodic Boundary Conditions
Periodic boundary conditions are applied to a ferromagnetic spin lattice. A symmetrical lattice and its contributions all over space are being used. Results, for the Ising model with ferromagnetic interaction that decays as a 1/r law, are discussed in the mean field approximation.
متن کاملMean Field Upper Bound on the Transition Temperature in Multicomponent Ferromagnets 1
Using local Ward identities and a new correlation inequality, we prove that the mean field transition temperature is an upper bound on the true transition temperature in multicomponent Heisenberg-type classical ferromagnets. (49' = 1 i=1 Given a translation-invariant function J(c~-t3) on Z v x Z ~, we consider for A c Z ~ the Hamiltonian D c~,B~A i = 1 cEA and form the partition function with a...
متن کاملLow field hysteresis in disordered ferromagnets
We analyze low field hysteresis close to the demagnetized state in disordered ferromagnets using the zero temperature random-field Ising model. We solve the demagnetization process exactly in one dimension and derive the Rayleigh law of hysteresis. The initial susceptibility a and the hysteretic coefficient b display a peak as a function of the disorder width. This behavior is confirmed by nume...
متن کاملField-dependent AC susceptibility of itinerant ferromagnets
Whereas dc measurements of magnetic susceptibility, χ, fail to distinguish between local and weak itinerant ferromagnets, radio-frequency (rf) measurements of χ in the ferromagnetic state show dramatic differences between the two. We present sensitive tunnel-diode resonator measurements of χ in the weak itinerant ferromagnet ZrZn2 at a frequency of 23 MHz. Below Curie temperature, TC ≈ 26 K, th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2009
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2009/03/p03028