Abstract
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.
Dates
Type | When |
---|---|
Created | 23 years, 1 month ago (July 27, 2002, 3:04 a.m.) |
Deposited | 6 years ago (Aug. 6, 2019, 4:18 p.m.) |
Indexed | 1 month, 2 weeks ago (July 7, 2025, 4:24 a.m.) |
Issued | 24 years, 7 months ago (Jan. 10, 2001) |
Published | 24 years, 7 months ago (Jan. 10, 2001) |
Published Online | 13 years, 7 months ago (Jan. 25, 2012) |
Published Print | 24 years, 7 months ago (Jan. 10, 2001) |
@article{DORLAS_2001, title={LARGE DEVIATIONS AND THE RANDOM ENERGY MODEL}, volume={15}, ISSN={1793-6578}, url={http://dx.doi.org/10.1142/s0217979201002552}, DOI={10.1142/s0217979201002552}, number={01}, journal={International Journal of Modern Physics B}, publisher={World Scientific Pub Co Pte Lt}, author={DORLAS, T. C. and WEDAGEDERA, J. R.}, year={2001}, month=jan, pages={1–15} }