ON THE MEAN FIELD THEORY OF RANDOM HETEROPOLYMERS

1992 ◽  
Vol 03 (supp01) ◽  
pp. 195-200 ◽  
Author(s):  
SILVIO FRANZ ◽  
MARC MÉZARD ◽  
GIORGIO PARISI
Keyword(s):  
Field Theory ◽  
Numerical Simulations ◽  
Random Potential ◽  
Mean Field Theory ◽  
Mean Field ◽  
Directed Polymers ◽  
Directed Polymer ◽  
Replica Symmetry ◽  
The Mean

We discuss some of the problems appearing in the Mean Field Theory of Random Heteropolymers. We show how an hypothesis of replica symmetry maps this problem onto a directed polymer in a random potential, and explain how this hypothesis can be checked through numerical simulations on directed polymers. The approach of Shaknovitch and Gutin is also reviewed in light of these findings.

THE MEAN-FIELD THEORY OF DIRECTED POLYMERS IN RANDOM MEDIA AND SPIN GLASS MODELS

1995 ◽  
Vol 07 (02) ◽  
pp. 183-192 ◽  
Author(s):  
F. KOUKIOU
Keyword(s):  
Field Theory ◽  
Phase Diagram ◽  
Spin Glass ◽  
Spin Glasses ◽  
Random Media ◽  
Random Medium ◽  
Mean Field Theory ◽  
Mean Field ◽  
Directed Polymers ◽  
The Mean

We give a unifying framework for the mean-field theory for models of spin glasses and directed polymers in a random medium defined on homogeneous graphs. Their phase diagram is studied in the complex plane of temperature.

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models

On the mean-field theory of spin glasses

1980 ◽  
Vol 13 (3) ◽  
pp. 403-418 ◽  
Author(s):  
A Blandin ◽  
M Gabay ◽  
T Garel
Keyword(s):  
Field Theory ◽  
Spin Glasses ◽  
Mean Field Theory ◽  
Mean Field ◽  
The Mean

scholarly journals Magnetocaloric Effect in Nanosystems Based on Ferromagnets with Different Curie Temperatures

2021 ◽  
Vol 132 (1) ◽  
pp. 79-93
Author(s):  
M. A. Kuznetsov ◽  
A. B. Drovosekov ◽  
A. A. Fraerman
Keyword(s):  
Field Theory ◽  
Magnetocaloric Effect ◽  
Landau Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Maxwell Relation ◽  
Magnetic Cooling ◽  
The Mean ◽  
Curie Temperatures ◽  
Good Agreement

Abstract The magnetocaloric effect in nanosystems based on exchange-coupled ferromagnets with different Curie temperatures is calculated within the mean-field theory. Good agreement between the results of the mean-field theory and the Landau theory, valid near the critical phase transition temperature, is demonstrated for a flat-layered Fe/Gd/Fe structure. We show that a high magnetic cooling efficiency in this system is attainable in principle and prove the validity of the Maxwell relation, enabling an experimental verification of the predictions made. The theory developed for flat-layered structures is generalized to a granular medium.

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