scholarly journals On the accuracy of the normal approximation for the free energy in the Random Energy Model

2013 ◽  
Vol 18 (0) ◽  
Author(s):  
Raphael Meiners ◽  
Anselm Reichenbachs
Keyword(s):  
Free Energy ◽  
Normal Approximation ◽  
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.

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.

scholarly journals The quantum random energy model as a limit of p-spin interactions

2020 ◽  
pp. 2060013
Author(s):  
Chokri Manai ◽  
Simone Warzel
Keyword(s):  
Free Energy ◽  
Mean Field ◽  
Energy Model ◽  
Spin Model ◽  
Quantum Spin ◽  
Spin Interaction ◽  
Rigorous Results ◽  
Random Energy Model ◽  
Random Energy ◽  
Spin Interactions

We consider the free energy of a mean-field quantum spin glass described by a [Formula: see text]-spin interaction and a transversal magnetic field. Recent rigorous results for the case [Formula: see text], i.e. the quantum random energy model (QREM), are reviewed. We show that the free energy of the [Formula: see text]-spin model converges in a joint thermodynamic and [Formula: see text] limit to the free energy of the QREM.

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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