REPLICA FIELD-THEORY FOR DETERMINISTIC MODELS .1. BINARY SEQUENCES WITH LOW AUTOCORRELATION

被引:123
作者
MARINARI, E
PARISI, G
RITORT, F
机构
[1] UNIV ROMA TOR VERGATA, IST NAZL FIS NUCL, I-00173 ROME, ITALY
[2] SYRACUSE UNIV, NPAC, SYRACUSE, NY 13210 USA
[3] UNIV ROMA LA SAPIENZA, DIPARTIMENTO FIS, I-00187 ROME, ITALY
[4] UNIV ROMA LA SAPIENZA, IST NAZL FIS NUCL, I-00187 ROME, ITALY
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 23期
关键词
D O I
10.1088/0305-4470/27/23/010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study systems without quenched disorder with a complex landscape, and we use replica-symmetry theory to describe them. We discuss the Golay-Bernasconi-Deriida approximation of the low autocorrelation model, and we reconstruct it by using replica calculations. We then consider the full model, its low-T properties (with the help of number theory) and a Hartree-Fock resummation of the high-temperature series. We show that replica theory allows us to solve the model in the high-T phase. Our solution is based on one-link integral techniques, and is based on substituting a Fourier transform with a generic unitary transformation. We discuss this approach as a powerful tool to describe systems with a complex landscape in the absence of quenched disorder.
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页码:7615 / 7645
页数:31
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