• 제목/요약/키워드: Distribution of relaxation time

검색결과 78건 처리시간 0.024초

Numerical Calculation of the Relaxation Spectrum from the Correlation Function$^\dag$

  • Lee, Hoo-Sung
    • Bulletin of the Korean Chemical Society
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    • 제8권5호
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    • pp.406-408
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    • 1987
  • It has been shown that the distribution of relaxation times, H(ln $\tau$), in semi-logarithmic time scale can easily be calculated numerically from the derivative of the relaxation function in semilogarithmic scale. In that, ln$\tau$, the abscissa, is divided into N different segments of equal size, then H is considered to be a linear function of ln $\tau$within each segment. The technique has been applied to a Williams-Watts function as well as to the relaxation function obtained by photon correlation spectroscopy from atactic polystyrene glass. It has been demonstrated that the relaxation functions can be precisely reproduced from the calculated distribution functions.

고체유전체의 쌍극자분극 완화시간 측정에 의한 유전특성의 연구 (A study on the dielectric properties by measurement of relaxation time of dipole polarization in solid dielectrics)

  • 박중순;서장수;김병인;국상훈
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1992년도 춘계학술대회 논문집
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    • pp.125-129
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    • 1992
  • When relaxation time will be distributed, TSC observed in the experimental procedure was analysed by using a potential model having two equilibrium positions and equations of dielectric properties was derived. Calculation of distribution was made by matrix method and compared/confirmed values obtained by TSC and alternating current which have a correspondence with each other. In this measurement, distribution of activation energy and relaxation time was determined by TSC peak at around 147k/364 of which center is 10$\^$-4/ sec/10$\^$5/ sec respectively at room temperature and also obtained dielctric loss factor at the range of 10$\^$-7/-10$\^$5/Hz. It seems that low temperature peak is local dispersion and high temperature peak have a relation to dielectric transition of the material.

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Vibrational Relaxation and Fragmentation in Icosahedral (Ar2+)Ar12 Clusters

  • Ree, Jongbaik;Kim, Yoo Hang;Shin, Hyung Kyu
    • Bulletin of the Korean Chemical Society
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    • 제35권9호
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    • pp.2774-2780
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    • 2014
  • A dynamics study of relaxation and fragmentation of icosahedral argon cluster with a vibrationally excited $Ar_2^+$ (${\nu}$) is presented. Local translation is shown to be responsible for inducing energy flow from the embedded ion to host atoms and fragmentation of the cluster consisting of various low frequency modes. The total potential energy of $(Ar_2^+)Ar_{12}$ is formulated using a building-up procedure of host-guest and host-host interactions. The time dependence of ion-to-host energy transfer is found to be tri-exponential, with the short-time process of ~100 ps contributing most to the overall relaxation process. Relaxation timescales are weakly dependent on both temperature (50-300 K) and initial vibrational excitation (${\nu}$ = 1-4). Nearly 27% of host atoms in the cluster with $Ar_2^+$ (${\nu}$ = 1) fragment immediately after energy flow, the extent increasing to ~43% for ${\nu}$ = 4. The distribution of fragmentation products of $(Ar_2^+)Ar_{12}{\rightarrow}(Ar_2^+)Ar_n+(12-n)Ar$ are peaked around $(Ar_2^+)Ar_8$. The distribution of dissociation times reveals fragmentation from one hemisphere dominates that from the other. This effect is attributed to the initial fragmentation causing a sequential perturbation of adjacent atoms on the same icosahedral five-atom layer.

MIMO 시스템에서 최적 검출 기법을 위한 궤환 Semi-Definite Relaxation 검출기 (Feedback Semi-Definite Relaxation for near-Maximum Likelihood Detection in MIMO Systems)

  • 박수빈;이동진;변윤식
    • 한국통신학회논문지
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    • 제33권12C호
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    • pp.1082-1087
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    • 2008
  • MIMO 시스템에서 ML 검출 기법은 많은 다른 검출기들보다 우수한 성능을 보인다. 그러나 ML 검출기법은 NP-hard 문제로 인해 실제 시스템에서 사용하기 어려운 단점을 가지고 있다. 이것은 polynomial-time 안에 최적의 해 (optimal solution)를 찾을 수 없음을 의미한다. 본 논문에서는 ML problem을 적용한 SDR (Semi-Definite Relaxation)에 궤환기법을 통한 검출 알고리즘을 제안한다. 이는 SDR에 의해 구한 최적의 해를 spectral decomposition을 이용해 우세한 eigenvector를 찾아 송신 신호의 확률 분포를 구하고, 이를 수신 신호에 궤환 시킨다. 이는 또 다른 ML problem으로써 다시 SDR를 통해 최적의 해를 구하고 우세한 eigenvector에 해당하는 송신 신호 확률을 구한다. 이 확률은 ML problem에 해당하는 최적의 값으로 추정 송신 신호를 검출할 수 있다. 이러한 기법을 통해 최적 성능을 갖는 ML 검출 기법의 성능에 보다 더 가깝게 접근하였다.

Continuous distribution analysis를 이용한 냉.해동과정 중 돈육의 NMR relaxation pattern의 변화 (Changes of NMR Relaxation Pattern of Pork Loins during Freezing and Thawing Using Continuous Distribution Analysis)

  • 이선민;노정해;윤혜현;이택수
    • 한국식품과학회지
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    • 제35권1호
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    • pp.57-61
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    • 2003
  • 냉동 및 해동과정 중의 돈육의 NMR 자기완화시간의 변화를 측정하고, $T_2\;CPMG$ 데이터의 연속 분배 분석을 통하여 근육 내 물의 상태 변화를 조사하였다. 고형 지방 함량은 온도가 낮아질수록 약간 증가하는 경향을 보였으나, 어는점인 $-4^{\circ}C$에서 급격하게 증가되어 $-25^{\circ}C$에서 85%의 고형 지방 함량을 나타내었다. 이와 반대로 자기완화시간은 온도가 낮아질수록 감소하는 경향을 보여, 온도에 따라 물의 상태가 변화하여 얼음 결정을 형성하는 것을 알 수 있었다. 특히 $T_2$ 자기완화시간은 냉동보다 해동시의 $T_2$가 더 높게 나타나 형성되었던 얼음 결정이 녹으면서 원래 상태로 복원되지 않고 육즙 유출을 형성하였음을 예상할 수 있었다. 따라서 $T_2\;CPMG$ 데이터의 연속 분배 분석을 수행하여 온도에 따른 물의 상태 변화를 조사하였다. 주성분은 $30{\sim}45\;ms$$T_2$로 온도가 낮아질수록 함량이 감소하였으며, $-4^{\circ}C$ 이하에서는 검출되지 않았다. $-4^{\circ}C$ 이하에서는 $T_s$만이 검출되었고, 피크의 크기는 온도가 낮아질수록 감소되어 $-25^{\circ}C$에서는 아무런 피크도 나타나지 않았다. 해동 중의 $T_2$ 성분의 변화는 $-4^{\circ}C$ 이하에서는 냉동과정과 마찬가지로 $T_s$ 1개의 피크만이 검출되었고, $-4^{\circ}C$이상으로 단계적으로 승온하는 과정에서 냉동시보다 $T_m$$T_l$의 면적이 더 넓게 나타나, 냉동과 해동과정을 거치면서 결합수와 자유수간의 상태 변화가 일어났음을 알 수 있었다.

Dynamical behavior of generalized thermoelastic diffusion with two relaxation times in frequency domain

  • Sharma, Nidhi;Kumar, Rajneesh;Ram, Paras
    • Structural Engineering and Mechanics
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    • 제28권1호
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    • pp.19-38
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    • 2008
  • A general solution to the field equations of homogeneous isotropic generalized thermoelastic diffusion with two relaxation times (Green and Lindsay theory) has been obtained using the Fourier transform. Assuming the disturbances to be harmonically time.dependent, the transformed solution is obtained in the frequency domain. The application of a time harmonic concentrated and distributed loads have been considered to show the utility of the solution obtained. The transformed components of displacement, stress, temperature distribution and chemical potential distribution are inverted numerically, using a numerical inversion technique. Effect of diffusion on the resulting expressions have been depicted graphically for Green and Lindsay (G-L) and coupled (C-T) theories of thermoelasticity.

고무복합체의 모세관 압출에서 비선형 점탄성 모델의 적용 (Application to Non-linear Viscoelastic Model on Capillary Extrusion of Rubber Compounds)

  • 최성현;류민영;김학주;박동명;전재후
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 춘계학술대회 논문집
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    • pp.209-212
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    • 2007
  • Rubber compounds have high viscoelastic property. One of the viscoelastic behaviors during profile extrusion is the swelling of extrudate. In this study, die swell of rubber compounds at the capillary die have been investigated through an experiment and computer simulation. They have been performed using fluidity tester in experiment and commercial CFD code, Polyflow in computer simulation. Die swell of rubber compounds for relaxation time at several modes under same conditions with the experiment were predicted using non-linear differential viscoelastic model, Phan-Thien-Tanner (PTT) model. The simulation was analyzed compared with the experiment. Viscoelastic behaviors for pressure, velocity and shear rate distribution were analyzed at the capillary die. It is concluded that the PTT model successfully represented the amount of the optimal die swell of rubber compounds for relaxation time at different modes.

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Thermomechanical deformation in porous generalized thermoelastic body with variable material properties

  • Kumar, Rajneesh;Devi, Savita
    • Structural Engineering and Mechanics
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    • 제34권3호
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    • pp.285-300
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    • 2010
  • The two-dimensional deformation of a homogeneous, isotropic thermoelastic half-space with voids with variable modulus of elasticity and thermal conductivity subjected to thermomechanical boundary conditions has been investigated. The formulation is applied to the coupled theory(CT) as well as generalized theories: Lord and Shulman theory with one relaxation time(LS), Green and Lindsay theory with two relaxation times(GL) Chandrasekharaiah and Tzou theory with dual phase lag(C-T) of thermoelasticity. The Laplace and Fourier transforms techniques are used to solve the problem. As an application, concentrated/uniformly distributed mechanical or thermal sources have been considered to illustrate the utility of the approach. The integral transforms have been inverted by using a numerical inversion technique to obtain the components of displacement, stress, changes in volume fraction field and temperature distribution in the physical domain. The effect of dependence of modulus of elasticity on the components of stress, changes in volume fraction field and temperature distribution are illustrated graphically for a specific model. Different special cases are also deduced.