Phase Diagram of the Random Energy Model with Higher-Order Ferromagnetic Term and Error Correcting Codes due to Sourlas

1999 ◽  
Vol 83 (21) ◽  
pp. 4441-4444 ◽  
Author(s):  
T. C. Dorlas ◽  
J. R. Wedagedera
Keyword(s):  
Phase Diagram ◽  
Error Correcting Codes ◽  
Higher Order ◽  
Energy Model ◽  
Random Energy Model ◽  
Random Energy

FINITE SIZE CORRECTIONS IN THE FERROMAGNETIC PHASE OF THE RANDOM ENERGY MODEL

1995 ◽  
Vol 09 (14) ◽  
pp. 877-882 ◽  
Author(s):  
S. ROUHANI ◽  
D. SAAKIAN
Keyword(s):  
Phase Diagram ◽  
Free Energy ◽  
Fine Structure ◽  
Finite Size ◽  
Energy Model ◽  
Ferromagnetic Phase ◽  
Random Energy Model ◽  
Random Energy ◽  
Finite Size Corrections

The ferromagnetic phase of the random energy model was investigated for all values of the parameters. Finite size corrections to the free energy were calculated and the fine structure of the phase diagram, areas with the same size corrections, in the ferromagnetic phase was found.

scholarly journals Out-of-equilibrium phase diagram of the quantum random energy model

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Giulio Biroli ◽  
Davide Facoetti ◽  
Marco Schiró ◽  
Marco Tarzia ◽  
Pierpaolo Vivo
Keyword(s):  
Phase Diagram ◽  
Equilibrium Phase ◽  
Equilibrium Phase Diagram ◽  
Energy Model ◽  
Random Energy Model ◽  
Random Energy

scholarly journals Phase Diagram of the Quantum Random Energy Model

2020 ◽  
Vol 180 (1-6) ◽  
pp. 654-664 ◽  
Author(s):  
Chokri Manai ◽  
Simone Warzel
Keyword(s):  
Phase Diagram ◽  
Energy Model ◽  
Random Energy Model ◽  
Random Energy

LARGE DEVIATIONS AND THE RANDOM ENERGY MODEL

2001 ◽  
Vol 15 (01) ◽  
pp. 1-15 ◽  
Author(s):  
T. C. DORLAS ◽  
J. R. WEDAGEDERA
Keyword(s):  
Magnetic Field ◽  
Free Energy ◽  
External Magnetic Field ◽  
Large Deviation ◽  
Error Correcting Codes ◽  
Energy Model ◽  
Random Energy Model ◽  
Recent Letter ◽  
Random Energy ◽  
Deviation Property

We present a simple proof of the formula for the free energy of the random energy model using a large deviation property which holds almost surely with respect to the randomness. This proof is extended to the case with external magnetic field leading to the solution of a model with higher-order ferromagnetic term. It is shown that this model is useful for Sourlas' application to error-correcting codes as was already pointed out in a recent letter by the authors.

Generalized Random Energy Model II

2007 ◽  
Vol 127 (4) ◽  
pp. 841-850
Author(s):  
N. K. Jana ◽  
B. V. Rao
Keyword(s):  
Energy Model ◽  
Random Energy Model ◽  
Random Energy

Glauber Dynamics of the Random Energy Model

2003 ◽  
Vol 236 (1) ◽  
pp. 1-54 ◽  
Author(s):  
Anton Bovier ◽  
V�ronique Gayrard ◽  
G�rard Ben Arous
Keyword(s):  
Glauber Dynamics ◽  
Energy Model ◽  
Random Energy Model ◽  
Random Energy

The Random Energy Model

2002 ◽  
pp. 74-82
Author(s):  
Erwin Bolthausen ◽  
Alain-Sol Sznitman
Keyword(s):  
Energy Model ◽  
Random Energy Model ◽  
Random Energy

scholarly journals On the existence of a glass transition in a random energy model

2013 ◽  
Vol 46 (31) ◽  
pp. 315002 ◽  
Author(s):  
Florian Angeletti ◽  
Eric Bertin ◽  
Patrice Abry
Keyword(s):  
Glass Transition ◽  
Energy Model ◽  
Random Energy Model ◽  
Random Energy
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