Dynamics and termination cost of spatially coupled mean-field models.
Phys Rev E Stat Nonlin Soft Matter Phys
; 89(1): 012102, 2014 Jan.
Article
en En
| MEDLINE
| ID: mdl-24580167
ABSTRACT
This work is motivated by recent progress in information theory and signal processing where the so-called spatially coupled design of systems leads to considerably better performance. We address relevant open questions about spatially coupled systems through the study of a simple Ising model. In particular, we consider a chain of Curie-Weiss models that are coupled by interactions up to a certain range. Indeed, it is well known that the pure (uncoupled) Curie-Weiss model undergoes a first-order phase transition driven by the magnetic field, and furthermore in the spinodal region such systems are unable to reach equilibrium in subexponential time if initialized in the metastable state. In contrast, the spatially coupled system is instead able to reach the equilibrium even when initialized to the metastable state. The equilibrium phase propagates along the chain in the form of a traveling wave. Here we study the speed of the wave front and the so-called termination cost-i.e., the conditions necessary for the propagation to occur. We reach several interesting conclusions about optimization of the speed and the cost.
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Colección:
01-internacional
Base de datos:
MEDLINE
Tipo de estudio:
Health_economic_evaluation
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Asunto de la revista:
BIOFISICA
/
FISIOLOGIA
Año:
2014
Tipo del documento:
Article
País de afiliación:
Francia