Replica cluster variational method: the replica symmetric solution for the 2D random bond Ising model
نویسندگان
چکیده
منابع مشابه
On the replica symmetric solution of the K - sat model
In this paper we translate Talagrand’s solution of the K-sat model at high temperature into the language of asymptotic Gibbs measures. Using exact cavity equations in the infinite volume limit allows us to remove many technicalities of the inductions on the system size, which clarifies the main ideas of the proof. This approach also yields a larger region of parameters where the system is in a ...
متن کاملRenormalization Group Solution for the Two-dimensional Random Bond Potts Model with Broken Replica Symmetry
We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is argued that the model reaches this universality class if the replica symmetry is broken initially. Otherwise the model stays with the replica symmetric renormalization group flow and reaches the fixed p...
متن کاملReplica 1 Replica 1 - 1 Replica 1 - p Replica 1 - p - 1 Replica 1 - p - m User Cluster 2 User Cluster 1 User Cluster n Replica Selection
Partial collection replication improves performance and scalability of a large-scale distributed information retrieval system by distributing excessive workloads, reducing network latency, and restricting some searches to a small percentage of data. In this paper, we rst examine queries from real system logs and show that there is suucient query locality in real systems to justify partial colle...
متن کاملRenormalization-group study of the replica action for the random field Ising model
We reexamine the effective action for the d-dimensional random field Ising model derived by Brézin and De Dominicis. We find a non-Gaussian fixed point where the φ4 couplings in the action have various scaling dimensions. The correlation-length exponent in d = 6 − ǫ has the value consistent with the argument of the dimensional reduction in the leading order.
متن کاملCharting the Replica Symmetric Phase
Random graph models and associated inference problems such as the stochastic block model play an eminent role in computer science, discrete mathematics and statistics. Based on nonrigorous arguments physicists predicted the existence of a generic phase transition that separates a “replica symmetric phase” where statistical inference is impossible from a phase where the detection of the “ground ...
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 Physics A: Mathematical and Theoretical
سال: 2013
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/46/13/135001