• 제목/요약/키워드: Exponential decay

검색결과 149건 처리시간 0.027초

Determination of the Neutron Effective Multiplication Factor for a PWR Spent Fuel Assembly

  • Heesung Shin;Ro, Seung-Gy;Kim, Gil-Soo;Hwang, Yong-Hwa;Kim, Ho-Dong
    • 한국방사성폐기물학회:학술대회논문집
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    • 한국방사성폐기물학회 2003년도 가을 학술논문집
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    • pp.590-595
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    • 2003
  • An Exponential experiment system which is composed of a neutron detector, a signal analysis system and a neutron source, Cf-252 has been installed in order to experimentally determine the neutron effective multiplication factor for a PWR spent fuel assembly. The axial background neutron flux is measured in a preliminary performance test. From the results, the spacer grid position is determined to be consistent with the design specifications within a 2.3% relative error. The induced fission neutron for four of the assemblies is also measured by scanning the neutron source, Cf-252 or the neutron detector. The exponential decay constants have been evaluated by the application of the Poisson regression to the net induced fission neutron counts. The measured keffs determined on the basis of the exponential decay constants of Cl5 appeared to be 0.541, 0.540, 0.597 and 0.556, respectively, which are comparable with 0.55195$\pm$0.00232 of the MCNP calculation.

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지수감쇠 기법을 이용한 반사경 손실측정 시스템의 오차특성 연구 (Study of the error chsracteristics in a mirror loss measurement system using an exqonential decay metod)

  • 조민식
    • 한국광학회지
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    • 제12권2호
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    • pp.77-82
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    • 2001
  • 손실 200 ppm급과 30 ppm급인 두 종류의 시험 반사경을 대상으로, 지수감쇠 방법을 이용한 반사경 손실측정 시스템의 오차 특성이 조사되었다. 공진기 길이 떨림에 의한 공진기 감쇠신호의 지수함수 왜곡을 보상하기 위하여 감쇠신호 데이터 평균기법을 적용하였다. 감쇠신호 6개의 평균이 취해졌을 때 감쇠신호의 지수함수 곡선맞춤 오차개선이 뚜력시 관측되었으며 손실 200ppm급 시험 반사경의 경우 약 2.4배 손실 30ppm급 시험 반사경의 경우 약 1.3배의 반사경 손실 측정오차 개선효과를 얻을 수 있었다 시험 공진기에서의 일별(day-to-day) 반사경 손실측정 반복도 오차가 조사되었다. 손실 200ppm급 시험 반사경의 경우 약 5.0%, 30ppm급 시험 반사경의 경우 약 26.4%의 손실측정 반복도 오차가 관측되었다. 저손실 반사경 평가에서 확인된 낮은 감쇠신호 데이터 평균효과와 높은 손실측정 반복도 오차는 손실측정 시스템 자체의 측정오차 이외에 시험 반사경 표면의 불균일한 손실 공간분포와 주변 오염원 유입의 결과로 분석되었다 또한 공진기 길이 떨림의 크기와 공진기 길이 측정오차가 손실측정 시스템의 정확도에 미치는 영향을 계산을 통해 조사한 결과, 분해능 수 ppm 급 현재의 측정 시스템의 성능에 미칠수 있는 공진기 길이오차의 영향은 충분히 적은 것으로 확인되었다.

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통신 상품별 VOC 영향 요인과 학습곡선에 관한 연구 (A Study on the Learning Curve and VOC Factors Affecting of Telecommunication Services)

  • 정소기;차경천
    • 한국통신학회논문지
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    • 제39B권8호
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    • pp.518-527
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    • 2014
  • 본 연구는 유선통신 서비스 상품별 고객 불만(Voice of Customer) 감소에 따른 학습곡선을 추정 하고자 한다. 학습곡선모형 중 가장 일반적인 지수감소모형(Exponential decay model)을 사용하여 시간에 따라 고객 불만(VOC)이 감소하는지를 검증하였다. 그리고 통신사들의 서비스 상품의 인력투입, 소프트웨어 적용, 투자 등의 노력에 따른 고객 불만(VOC) 변화효과를 추가로 검증하였다. 서비스 상품별 실증 분석의 결과는 다음과 같다. 첫째, 학습곡선대로 시간에 따라 고객 불만(VOC)이 감소하였다. 둘째, 초고속 인터넷, 전화, IPTV 등은 인력투입, Network 장애, 계절요인으로 인해 고객 불만(VOC)을 증가 시키거나 감소 시켰다. 셋째, 서비스 상품별 다양한 변수는 고객의 체감 품질을 높이고 있지만, 오히려 지속적으로 감소하지 않는 서비스 패러독스(Service Paradox)현상이 발생하는 것을 알 수 있었다.

Kinetic Measurements of Irreversible Photobleaching of Bacteriorhodopsin in A High Temperature State

  • Yokoyama, Yasunori;Sonoyama, Masashi;Mitaku, Shigeki
    • Journal of Photoscience
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    • 제9권2호
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    • pp.296-298
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    • 2002
  • Irreversible photobleaching of bacteriorhodopsin (bR), namely denaturation induced by illumination of visible light, was investigated by absorption kinetic measurements. The denaturation kinetics revealed that light illumination significantly enhanced the structural decay of bR. The kinetic analyses showed that the molecular structure of bR denatures according to a single-exponential decay, whereas irreversible photobleaching has two decay components. The decay constant of the slow component of photobleaching is almost same as that in the dark. An Arrhenius plot of the denaturation kinetic constants for the fast and slow components showed similar activation energies of approximately 19 kcal/mol.

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ULTRAFAST INTERFACIAL ELECTRON TRAPPING AND RECOMBINATION IN PHOTOEXCITED COLLOIDAL CADMIUM SULFIDE

  • Kim, Seong-Kyu
    • Journal of Photoscience
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    • 제4권1호
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    • pp.11-16
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    • 1997
  • We measured, using femtosecond pump-probe experiment, the time evolution of transient absorption in aqueous CdS colloids. The signal rises within the time resolution (= 0.5 ps) of the experiment and decays with two exponential time constants, 4.8 ps and 132 ps. The ultrafast rise of the transient absorption is considered to be for shallowly trapped conduction band electrons after photoexcitation. The amplitude ratio of the two decaying components varies with the pump intensity and the decay times increase in the presence of hole scavengers. Even though a biexponential function fits the decay well, we object hat two independent first order processes (geminate and nongeminate recombinations) are responsible for the decay. A function with an integrated rate equation for second order nongeminate recombination plus a long background fits the decay well. The long background is considered to be for deeply trapped charges at the CdS particle.

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ASYMTOTIC BEHAVIOUR OF THE VISCOUS CAHN-HILLIARD EQUATION

  • Choo, S.M.;Chung, S.K.
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.143-154
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    • 2003
  • Analytical solutions for the viscous Cahn-Hilliard equation are considered. Existence and uniqueness of the solution are shown. The exponential decay of the solution in H$^2$-norm, which is an improvement of the result in Elliott and Zheng[5]. We also compare the early stages of evolution of the viscous Cahn-Hilliard equation with that of the Cahn-Hilliard equation, which has been given as an open question in Novick-Cohen[8].

GLOBAL EXISTENCE AND STABILITY OF A KORTEWEG-DE VRIES EQUATION IN NONCYLINDRICAL DOMAIN

  • Ha, Tae Gab
    • 대한수학회논문집
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    • 제34권2호
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    • pp.565-572
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    • 2019
  • In this paper, we consider a Korteweg-de Vries equation in noncylindrical domain. This work is devoted to prove existence and uniqueness of global solutions employing Faedo-Galerkin's approximation and transformation of the noncylindrical domain with moving boundary into cylindrical one. Moreover, we estimate the exponential decay of solutions in the asymptotically cylindrical domain.

POSITIVE SOLUTIONS TO DISCRETE HARMONIC FUNCTIONS IN UNBOUNDED CYLINDERS

  • Fengwen Han;Lidan Wang
    • 대한수학회지
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    • 제61권2호
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    • pp.377-393
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    • 2024
  • In this paper, we study the positive solutions to a discrete harmonic function for a random walk satisfying finite range and ellipticity conditions, killed at the boundary of an unbounded cylinder in ℤd. We first prove the existence and uniqueness of positive solutions, and then establish that all the positive solutions are generated by two special solutions, which are exponential growth at one end and exponential decay at the other. Our method is based on maximum principle and a Harnack type inequality.

Fractional radioactive decay law and Bateman equations

  • Cruz-Lopez, C.A.;Espinosa-Paredes, G.
    • Nuclear Engineering and Technology
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    • 제54권1호
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    • pp.275-282
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    • 2022
  • The aim of this work is to develop the fractional Bateman equations, which can model memory effects in successive isotopes transformations. Such memory effects have been previously reported in the alpha decay, which exhibits a non-Markovian behavior. Since there are radioactive decay series with consecutive alpha decays, it is convenient to include the mentioned memory effects, developing the fractional Bateman Equations, which can reproduce the standard ones when the fractional order is equal to one. The proposed fractional model preserves the mathematical shape and the symmetry of the standard equations, being the only difference the presence of the Mittag-Leffler function, instead of the exponential one. This last is a very important result, because allows the implementation of the proposed fractional model in burnup and activation codes in a straightforward way. Numerical experiments show that the proposed equations predict high decay rates for small time values, in comparison with the standard equations, which have high decay rates for large times. This work represents a novelty approach to the theory of successive transformations, and opens the possibility to study properties of the Bateman equation from a fractional approach.