Statistical mechanics of phase unwrApplng problem by the Q-ising model

Y. Saika; H. Nishimori

doi:10.1063/1.1764186

Statistical mechanics of phase unwrApplng problem by the Q-ising model

Y. Saika, H. Nishimori

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We construct the statistical mechanical formulation for the problem of phase unwrApplng, appearing in adaptive optics. We estimate the performance of our method using the replica theory and the time-dependent Ginzburg Landau theory for the infinite-range model. The replica theory clarifies that our method works well if we select appropriate model of the prior. Then, the time-dependent Ginzburg Landau theory estimates the dynamical property of the simulated annealing. These results are qualitatively confirmed by the Monte Carlo simulations for the realistic model.

Original language	English
Title of host publication	Slow Dynamics in Complex Systems
Subtitle of host publication	3rd International Symposium on Slow Dynamics in Complex Systems
Editors	Michio Tokuyama, Irwin Oppenheim
Publisher	American Institute of Physics Inc.
Pages	406-409
Number of pages	4
ISBN (Electronic)	0735401837
DOIs	https://doi.org/10.1063/1.1764186
Publication status	Published - 2004 Apr 30
Externally published	Yes
Event	3rd International Symposium on Slow Dynamics in Complex Systems - Sendai, Japan Duration: 2003 Nov 3 → 2003 Nov 8

Publication series

Name	AIP Conference Proceedings
Volume	708
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Other

Other	3rd International Symposium on Slow Dynamics in Complex Systems
Country	Japan
City	Sendai
Period	03/11/3 → 03/11/8

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1063/1.1764186

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Cite this

Saika, Y., & Nishimori, H. (2004). Statistical mechanics of phase unwrApplng problem by the Q-ising model. In M. Tokuyama, & I. Oppenheim (Eds.), Slow Dynamics in Complex Systems: 3rd International Symposium on Slow Dynamics in Complex Systems (pp. 406-409). (AIP Conference Proceedings; Vol. 708). American Institute of Physics Inc.. https://doi.org/10.1063/1.1764186

Statistical mechanics of phase unwrApplng problem by the Q-ising model. / Saika, Y.; Nishimori, H.

Slow Dynamics in Complex Systems: 3rd International Symposium on Slow Dynamics in Complex Systems. ed. / Michio Tokuyama; Irwin Oppenheim. American Institute of Physics Inc., 2004. p. 406-409 (AIP Conference Proceedings; Vol. 708).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Saika, Y & Nishimori, H 2004, Statistical mechanics of phase unwrApplng problem by the Q-ising model. in M Tokuyama & I Oppenheim (eds), Slow Dynamics in Complex Systems: 3rd International Symposium on Slow Dynamics in Complex Systems. AIP Conference Proceedings, vol. 708, American Institute of Physics Inc., pp. 406-409, 3rd International Symposium on Slow Dynamics in Complex Systems, Sendai, Japan, 03/11/3. https://doi.org/10.1063/1.1764186

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