Statistical mechanics of a multiconnected Hopfield neural-network model in a transverse field

Journal Article · Tue Jan 31 23:00:00 EST 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.51.1573· OSTI ID:6869599

Ma, Y ^[1]; Gong, C ^[2]

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1. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Center for Advanced Studies in Science Technology of Microstructures, Nanjing 210093 (China) Department of Physics, Nanjing University, Nanjing 210093 (China)
2. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Department of Physics, Nanjing University, Nanjing 210093 (China)

The Hopfield neural-network model with [ital p]-spin interactions in the presence of a transverse field is introduced and solved exactly in the limit [ital p][r arrow][infinity]. In the phase diagrams drawn as a function of the temperature, the important results such as reentrance are found, and the effects of the quantum fluctuations on the phase transitions, the retrieval phase, and the storage ratio [alpha] are examined.

• OSTI ID: 6869599
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 51:2; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIOPHYSICS
DIAGRAMS
FLUCTUATIONS
FUNCTIONS
HAMILTONIANS
MAGNETIZATION
MATHEMATICAL OPERATORS
MECHANICS
NEURAL NETWORKS
PARTITION FUNCTIONS
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
QUANTUM OPERATORS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
VARIATIONS