• Title/Summary/Keyword: power law function

Search Result 281, Processing Time 0.032 seconds

The Spectral Sharpness Angle of Gamma-ray Bursts

  • Yu, Hoi-Fung;van Eerten, Hendrik J.;Greiner, Jochen;Sari, Re'em;Bhat, P. Narayana;Kienlin, Andreas von;Paciesas, William S.;Preece, Robert D.
    • Journal of Astronomy and Space Sciences
    • /
    • v.33 no.2
    • /
    • pp.109-117
    • /
    • 2016
  • We explain the results of Yu et al. (2015b) of the novel sharpness angle measurement to a large number of spectra obtained from the Fermi gamma-ray burst monitor. The sharpness angle is compared to the values obtained from various representative emission models: blackbody, single-electron synchrotron, synchrotron emission from a Maxwellian or power-law electron distribution. It is found that more than 91% of the high temporally and spectrally resolved spectra are inconsistent with any kind of optically thin synchrotron emission model alone. It is also found that the limiting case, a single temperature Maxwellian synchrotron function, can only contribute up to 58+23−18% of the peak flux. These results show that even the sharpest but non-realistic case, the single-electron synchrotron function, cannot explain a large fraction of the observed spectra. Since any combination of physically possible synchrotron spectra added together will always further broaden the spectrum, emission mechanisms other than optically thin synchrotron radiation are likely required in a full explanation of the spectral peaks or breaks of the GRB prompt emission phase.

Small and Large Deformation Rheological Behaviors of Commercial Hot Pepper-Soybean Pastes

  • Choi, Su-Jin;Kang, Kyoung-Mo;Yoo, Byoung-Seung
    • Food Science and Biotechnology
    • /
    • v.15 no.6
    • /
    • pp.871-876
    • /
    • 2006
  • Rheological behavior of commercial hot pepper-soybean paste (HPSP) was evaluated in small amplitude oscillatory and steady shear tests. Storage modulus (G'), loss modulus (G"), and complex viscosity (${\eta}^*$) as a function of angular frequency (${\omega}$), and shear stress (${\sigma}$) as a function of shear rate (${\gamma}$) data were obtained for 5 commercial HPSP samples. HPSP samples at $25^{\circ}C$ exhibited a non-Newtonian, shear-thinning flow behavior with high yield stresses and their flow behaviors were described by power law, Casson, and Herschel-Bulkley models. Time-dependent flow properties were also described by the Weltman, Hahn, and Figoni & Shoemaker models. Apparent viscosity over the temperature range of $5-35^{\circ}C$ obeyed the Arrhenius temperature relationship with activation energies (Ea) ranging 18.3-20.1 kJ/mol. Magnitudes of G' and G" increased with an increase in ${\omega}$, while ${\eta}^*$ decreased. G' values were higher than G" over the most of the frequency range (0.63-63 rad/sec), showing that they were frequency dependent. Steady shear viscosity and complex viscosity of the commercial HPSP did not fit the Cox-Merz rule.

Creep Characteristics of Unconsolidated Shale (미고결 셰일의 크립 특성)

  • Chang, Chan-Dong;Zoback, Mark
    • 한국지구물리탐사학회:학술대회논문집
    • /
    • 2006.06a
    • /
    • pp.195-200
    • /
    • 2006
  • Laboratory creep experiments show that compaction of unconsolidated shale is an irrecoverable process caused by viscous time-dependent deformation. Using Perzyna's viscoplasticity framework combined with the modified Cam-clay theory, we found the constitutive equation expressed in the form of strain rate as a power law function of the ratio between the sizes of dynamic and static yield surfaces. We derived the volumetric creep strain at a constant hydrostatic pressure level as a logarithmic function of time, which is in good agreement with experimental results. The determined material constants indicate that the yield stress of the shale increases by 6% as strain rate rises by an order of magnitude. This demonstrates that the laboratory-based prediction of yield stress (and porosity) may result in a significant error in estimating the properties in situ.

  • PDF

On Stability of the Pulsed Plasma Thruster for STSAT-2 based on the Lyapunov Function (리아프노프 함수에 기초한 과학기술위성 2호 펄스형 플라즈마 전기추력기의 동작 안정성 연구)

  • Sin, Gu-Hwan;Nam, Myeong-Yong;Gang, Gyeong-In;Im, Jong-Tae;Cha, Won-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.34 no.1
    • /
    • pp.95-102
    • /
    • 2006
  • The PPT being currently developed for the flight model represents a significant leap in techniques and technology compared to the previous flight ones. The electrical energy to be charged in the pulsed plasma thruster (PPT) is a very important aspect to provide an uniform impulse bit ,, and a specific impulse ,, for satellite attitude control. In this paper, we propose a nonlinear control technique and a stability analysis based on the Lyapunov function for the pulsed plasma thruster. Specifically, the proposed control law guarantees to charge and discharge the electrical energy generated from the power processing unit (PPU) within the specified time.

Problem and Improvement of Agricultural Information System in Korea (한국 농업정보체계의 문제점과 개선방안)

  • Lee Young Joo
    • Proceedings of the Korean Society of Crop Science Conference
    • /
    • 1998.10a
    • /
    • pp.391-414
    • /
    • 1998
  • Rural information sector is a strategic planning of agriculture in 21st century for the advancement of agricultural competive power and quality of life to farmers. In order to advance the agricultural competency and quality of life, firstly, it is necessary that rural information sector should focus on the foundation of agriculture and rural information. Secondly, it should construct an area of function and item in application systems. Thirdly, it must Improve to culture of agriculture and rural information. It should be able offer a variety of educational information to help build a recognition and accommodation of value of agricultural information. The agriculture and rural information sector is so desirable that an organization should take exclusive responsibility to maintain the public property of it and to guard it from variable pressure groups. Therefore, to the uninformed mind, it is desirable to build and nurture KICAFF(Korea Information Center for Agriculture, Forestry & Fisheries) which is empowered in the information business- instead of the government. This is necessary for agricultural information system preservation because law and institution corresponds with role and function of the information/education system.

  • PDF

Lifetime estimation of multilayer ceramic actuators using Weibull function (Weibull 식을 이용한 적층형 세라믹 액츄에이터의 수명예측)

  • Koh, Jung-Hyuk;Jeong, Soon-Jong;Ha, Mun-Su;Lee, Dae-Su;Choi, Hyeong-Bong;Song, Jae-Sung
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2004.07a
    • /
    • pp.114-116
    • /
    • 2004
  • 적층형 piezoelectric ceramic actuators를 제작하여 신뢰성을 평가하였다. 소자의 신뢰성 측정을 위하여 3kV/mm, 5kV/mm, 7kV/mm의 정류된 교류전압을 인가하였으며, 실험중 온도와 습도를 일정하게 유지하기 위하여 항온항습조안에서 실험을 실시하였다. 각 실험의 경우에 16개의 소자를 동시에 평가하였으며, 평균파괴시간을 Weibull 통계방식을 이용하여 계산하였으며, Arrhenius model, Power law model을 이용하여 사용 조건하에서 예상수명을 예측하였다.

  • PDF

The hopping variable range conduction in amorphous InAs thin films

  • Yao, Yanping;Bo, Baoxue;Liu, Chunling
    • Current Applied Physics
    • /
    • v.18 no.12
    • /
    • pp.1492-1495
    • /
    • 2018
  • This paper studies the influence of temperature on electrical resistivity in ${\alpha}-InAs$ thin films between 30 K-2K based on the analysis of Mott VRH model and ES VRH model. The effect of the interactions between electrons at lower temperature must be considered, therefore, ES VRH conduction will dominate mechanism, and the crossover from Mott to ES VRH conduction is observed about 7 K. Based on available experiment data and VRH conduction model, the parameters of VRH conduction are determined. And the calculated values of $T_C$ are consistent with the experimental results. In addition, $R_M/{\xi}$, ${\Delta}_M/kT$, $R_{ES}/{\xi}$ and ${\Delta}_{ES}/kT$ are satisfied with the validity of Mott and ES models. Furthermore, the temperature dependence of resistivity at low temperature obeys a universal scaling law, which well describes the overall temperature range of VRH conduction. However, the values of $T^{\prime}_M$ from the universal function are two order of magnitudes lower than $T_M$ deduced from fitting experiment.

Immune Algorithms Based 2-DOF Controller Design and Tuning For Power Stabilizer

  • Kim, Dong-Hwa;Park, Jin-Ill
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2003.10a
    • /
    • pp.2278-2282
    • /
    • 2003
  • In this paper the structure of 2-DOF controller based on artificial immune network algorithms has been suggested for nonlinear system. Up to present time, a number of structures of the 2-DOF controllers are considered as 2-DOF (2-Degrees Of Freedom) control functions. However, a general view is provided that they are the special cases of either the state feedback or the modification of PID controllers. On the other hand, the immune network system possesses a self organizing and distributed memory, also it has an adaptive function by feed back law to its external environment and allows a PDP (parallel distributed processing) network to complete patterns against the environmental situation, since antibody recognizes specific antigens which are the foreign substances that invade living creatures. Therefore, it can provide optimal solution to external environment. Simulation results by immune based 2-DOF controller reveal that immune algorithm is an effective approach to search for 2-DOF controller.

  • PDF

Hourly Average Wind Speed Simulation and Forecast Based on ARMA Model in Jeju Island, Korea

  • Do, Duy-Phuong N.;Lee, Yeonchan;Choi, Jaeseok
    • Journal of Electrical Engineering and Technology
    • /
    • v.11 no.6
    • /
    • pp.1548-1555
    • /
    • 2016
  • This paper presents an application of time series analysis in hourly wind speed simulation and forecast in Jeju Island, Korea. Autoregressive - moving average (ARMA) model, which is well in description of random data characteristics, is used to analyze historical wind speed data (from year of 2010 to 2012). The ARMA model requires stationary variables of data is satisfied by power law transformation and standardization. In this study, the autocorrelation analysis, Bayesian information criterion and general least squares algorithm is implemented to identify and estimate parameters of wind speed model. The ARMA (2,1) models, fitted to the wind speed data, simulate reference year and forecast hourly wind speed in Jeju Island.

POSSIBLE MERGER SIGNATURE IN SZ MAPS

  • KOCH PATRICK
    • Journal of The Korean Astronomical Society
    • /
    • v.37 no.5
    • /
    • pp.471-476
    • /
    • 2004
  • We propose an analytical model to estimate the influence of a merger on the thermal SZ effect. Following observations we distinguish between subsonic and transonic mergers. Using analytical velocity fields and the Bernoulli equation we calculate the excess pressure around a moving subcluster for an incompressible subsonic gas. Positive excess around the stagnation point and negative excess on the side of the subcluster lead to characteristic signatures in the SZ map, of the order of $10\%$ compared to the unperturbed signal. For a transonic merger we calculate the change in the thermal spectral SZ function, resulting from bow shock accelerated electrons. The merger shock compression factor determines the power law tail of the new non-thermal electron population and is directly related to a shift in the crossover frequency. This shift is typically a few percent towards higher frequencies.