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Uezu, Yasuhiro; Hashimoto, Takeji

doi:10.1023/a:1022227714198

Cited by 5 publications

(1 citation statement)

References 3 publications

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“…The integration kernels for the saddle point equations (SPEs) for the XY model and the self-consistent equations (SCEs) for the phase oscillator network correspond as well. Furthermore, for several interactions, there exists one-to-one correspondence between solutions for both models, and thus, it is found that the critical exponents are the same in both models [9].…”

Section: Introductionmentioning

confidence: 80%

Correspondence between phase oscillator network and classical XY model with the same random and frustrated interactions

Kimoto

Uezu

2019

Phys. Rev. E

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We study correspondence between a phase oscillator network with distributed natural frequencies and a classical XY model at finite temperatures with the same random and frustrated interactions used in the Sherrington-Kirkpatrick model. We perform numerical calculations of the spin glass order parameter q and the distributions of the local fields. As a result, we find that the parameter dependences of these quantities in both models agree fairly well if parameters are normalized by using the previously obtained correspondence relation between two models with the same other types of interactions. Furthermore, we numerically calculate several quantities such as the time evolution of the instantaneous local field in the phase oscillator network in order to study the roles of synchronous and asynchronous oscillators. We also study the self-consistent equation of the local fields in the oscillator network and XY model derived by the mean field approximation.

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Section: Introductionmentioning

confidence: 80%

Correspondence between phase oscillator network and classical XY model with the same random and frustrated interactions

Kimoto

Uezu

2019

Phys. Rev. E

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Nuclear Radiation, Ionization, and Radioactivity

Gupta

2012

Radiation, Ionization, and Detection in Nuclear Medicine

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Simultaneous determination of radionuclides separable into natural decay series by use of time-interval analysis

Hashimoto

Sanada²,

Uezu³

2004

Analytical and Bioanalytical Chemistry

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A delayed coincidence method, time-interval analysis (TIA), has been applied to successive alpha- alpha decay events on the millisecond time-scale. Such decay events are part of the (220)Rn-->(216)Po ( T(1/2) 145 ms) (Th-series) and (219)Rn-->(215)Po ( T(1/2) 1.78 ms) (Ac-series). By using TIA in addition to measurement of (226)Ra (U-series) from alpha-spectrometry by liquid scintillation counting (LSC), two natural decay series could be identified and separated. The TIA detection efficiency was improved by using the pulse-shape discrimination technique (PSD) to reject beta-pulses, by solvent extraction of Ra combined with simple chemical separation, and by purging the scintillation solution with dry N(2) gas. The U- and Th-series together with the Ac-series were determined, respectively, from alpha spectra and TIA carried out immediately after Ra-extraction. Using the (221)Fr-->(217)At ( T(1/2) 32.3 ms) decay process as a tracer, overall yields were estimated from application of TIA to the (225)Ra (Np-decay series) at the time of maximum growth. The present method has proven useful for simultaneous determination of three radioactive decay series in environmental samples.

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Cited by 5 publications

References 3 publications

Correspondence between phase oscillator network and classical XY model with the same random and frustrated interactions

Correspondence between phase oscillator network and classical XY model with the same random and frustrated interactions

Nuclear Radiation, Ionization, and Radioactivity

Simultaneous determination of radionuclides separable into natural decay series by use of time-interval analysis

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