• Title/Summary/Keyword: transition of a function

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Interband optical properties in wide band gap group-III nitride quantum dots

  • Bala, K. Jaya;Peter, A. John
    • Advances in nano research
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    • v.3 no.1
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    • pp.13-27
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    • 2015
  • Size dependent emission properties and the interband optical transition energies in group-III nitride based quantum dots are investigated taking into account the geometrical confinement. Exciton binding energy and the optical transition energy in $Ga_{0.9}In_{0.1}N$/GaN and $Al_{0.395}In_{0.605}N$/AlN quantum dots are studied. The largest intersubband transition energies of electron and heavy hole with the consideration of geometrical confinement are brought out. The interband optical transition energies in the quantum dots are studied. The exciton oscillator strength as a function of dot radius in the quantum dots is computed. The interband optical absorption coefficients in GaInN/GaN and AlInN/AlN quantum dots, for the constant radius, are investigated. The result shows that the largest intersubband energy of 41% (10%) enhancement has been observed when the size of the dot radius is reduced from $50{\AA}$ to $25{\AA}$ of $Ga_{0.9}In_{0.1}N$/GaN ($Al_{0.395}In_{0.605}N$/AlN) quantum dot.

LIMIT THEOREMS FOR MARKOV PROCESSES GENERATED BY ITERATIONS OF RANDOM MAPS

  • Lee, Oe-Sook
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.983-992
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    • 1996
  • Let p(x, dy) be a transition probability function on $(S, \rho)$, where S is a complete separable metric space. Then a Markov process $X_n$ which has p(x, dy) as its transition probability may be generated by random iterations of the form $X_{n+1} = f(X_n, \varepsilon_{n+1})$, where $\varepsilon_n$ is a sequence of independent and identically distributed random variables (See, e.g., Kifer(1986), Bhattacharya and Waymire(1990)).

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A generalized regime-switching integer-valued GARCH(1, 1) model and its volatility forecasting

  • Lee, Jiyoung;Hwang, Eunju
    • Communications for Statistical Applications and Methods
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    • v.25 no.1
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    • pp.29-42
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    • 2018
  • We combine the integer-valued GARCH(1, 1) model with a generalized regime-switching model to propose a dynamic count time series model. Our model adopts Markov-chains with time-varying dependent transition probabilities to model dynamic count time series called the generalized regime-switching integer-valued GARCH(1, 1) (GRS-INGARCH(1, 1)) models. We derive a recursive formula of the conditional probability of the regime in the Markov-chain given the past information, in terms of transition probabilities of the Markov-chain and the Poisson parameters of the INGARCH(1, 1) process. In addition, we also study the forecasting of the Poisson parameter as well as the cumulative impulse response function of the model, which is a measure for the persistence of volatility. A Monte-Carlo simulation is conducted to see the performances of volatility forecasting and behaviors of cumulative impulse response coefficients as well as conditional maximum likelihood estimation; consequently, a real data application is given.

The Effect of Gas Absorption Induced a Change of Glass Transition Temperature in Microcellular Foamed Plastics (초미세 발포 플라스틱의 유리전이온도를 변화시키는 가스 용해량의 영향)

  • Hwang, Yun-Dong;Cha, Seong-Un
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.5
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    • pp.816-822
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    • 2001
  • The thermoforming process is widely used in the plastics industry to produce articles for the packaging, automotive, domestic construction and leisure industries. The microcellular foaming process appeared at M.I.T. in 1980s to save a quantity of polymer materials and increase their mechanical properties. The glass transition temperature of polymer materials is one of many important process variables in appling the microcellular foaming process to the conventional thermoforming process. The goal of this research is to evaluate the relation between gas absorption and glass transition temperature in batch process using microcellular foaming process. The weight gain ratio of polymer materials has a conception of gas absorption. Polymers such as acrylonitrile-butadiene-styrene(ABS), polystyrene(PS) have been used in this experiment. According to conventional Chows model and Cha-Yoon model, it was estimated with real experimental result to predict a change of glass transition temperature as a function of the weight gain ratio of polymer materials in batch process to gain microcellular foamed plastic products.

Triplet Excitation Energy Transfer as a Function of Concentration in Glassy Methylbenzophenone

  • 한형순;이재광;남계준;최용국;국성근
    • Bulletin of the Korean Chemical Society
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    • v.19 no.9
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    • pp.923-926
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    • 1998
  • Spectral diffusion following direct triplet excitation from the ground state in glassy Methylbenzophenone as a function of transition energy has been studied. The concentrations of donor and acceptor have been determined for different transition energies. The geometrical distribution was determined by a computer simulation. The cluster size increases gradually with concentration and cluster percolation is observed at 0.31 mole fraction for a three dimensional system. The average distance between a donor and an acceptor also has been determined for different concentrations. The energy transfer efficiency changes abruptly at a critical concentration of 0.054, corresponding to a critical distance of 9.8 Å. The γvalue was evaluated to be 1.17.

Cell thickness dependence of liquid crystal parameters

  • Sood, Nitin;Khosla, Samriti;Singh, Darshan;Bawa, S.S.
    • Journal of Information Display
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    • v.13 no.1
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    • pp.31-36
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    • 2012
  • Ferroelectric liquid crystal parameters, spontaneous polarization, and transition temperature were studied as a function of cell thickness. These parameters were found to increase with increasing cell thickness, but an exception was observed for the transition temperature in the case of a thin cell. A simple Landau model is presented to interpret the theoretical and experimental observations. The anomalous behavior is attributed to the electroclinic effect and is explained using the Landau model.

Effect of bounce resonance heating on Electron Energy Distribution Function in a small Inductively Coupled Plasma

  • 정진욱;서상훈;장홍영
    • Proceedings of the Korean Vacuum Society Conference
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    • 1999.07a
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    • pp.208-208
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    • 1999
  • It is found that with increasing power, the measured electron energy distribution by Langmuir probe evolves into a Druyvesteyn-like electron energy distribution in the low-pressure regime of 1mTorr in a small inductively coupled plasma. Electron bounce resonance is introduced to explain the transition of the electron energy distribution against the rf power, The energy diffusion coefficients which determine the shape of the electron energy distribution in elastic range are calculated with and without electron bounce resonance. This electron energy distribution transition is well explained by the electron bounce resonance.

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Coil-to-globule transition of thermo-responsive γ-substituted poly (ɛ-caprolactone) in water: A molecular dynamics simulation study

  • Koochaki, Amin;Moghbeli, Mohammad Reza;Nikkhah, Sousa Javan
    • Current Applied Physics
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    • v.18 no.11
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    • pp.1313-1319
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    • 2018
  • The coil-to-globule behavior of poly{${\gamma}$-2-[2-(2methoxyethoxy)ethoxy]ethoxy-3-caprolactone} (PMEEECL) as a ${\gamma}$-substituted poly (${\varepsilon}$-caprolactone) was investigated via atomistic molecular dynamics (MD) simulation. For this purpose, radius of gyration, end-to-end distance and radial distribution function of the chain in the presence of water were calculated. Consequently, the lower critical solution temperature (LCST) of PMEEECL chain at which the coil-to-globule transition takes place, was determined in each calculated parameter curve. The simulation results indicated that the LCST of PMEEECL was occurred at close to 320 K, which is in a good agreement with previous experimental results. Additionally, the appearance of sudden change in both Flory-Huggins interaction parameter (${\chi}$) and interaction energy between the PMEEECL chain and water molecules at about 320 K confirmed the calculated LCST result. The radial distribution function (RDF) results showed that the affinity of the PMEEECL side chain to water molecules is lower than its backbone.

A Study of the Space Planning of a University Library according to the Condition of the Information Environment - A Study on the Design of Library Architecture(II)- (정보환경조건에 따른 대학도서관의 공간계획에 관한 연구 -도서관 건축 디자인에 관한 연구(II)-)

  • 이상호;신현수
    • Korean Institute of Interior Design Journal
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    • no.18
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    • pp.31-37
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    • 1999
  • This study aims to provide architectural basis of the new space planning in university library and anticipate direction in future. This study is to analyze the spatial transition in the existing facility, based on field observation of the domestic university library and on theoretical data from the related article. The result that include a transition of the existing facility and the present is as following as below. 1) Spatial transitions by networking are making specific system room. The minimum area of this specific system room is 33.95$m^2$. 2) Spatial transition by information service is forming computer room. the minimum area of a environmental carrel, which is possibly located to computer room, is 2.98~3.42$m^2$. 3) Spatial transition by spreading multimedia information is to make the multimedia information is to make the multimedia room. It is necessary to independent, flexibility, and extensionable space. 4) Library interior spatial transition by developing information technology is prospected that in case of reading room, office enlarge the scale, in case of stack decrease the scale. The university library must be kept up their function and also be functioned as electronic library which serve new information.

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Calculation of the Entropies and Chemical Potentials of Hard-Sphere Solutes Solvated in Hard-Sphere Solids Using the Radial Free-Space Distribution Function

  • 윤병집
    • Bulletin of the Korean Chemical Society
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    • v.20 no.10
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    • pp.1209-1212
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    • 1999
  • The entropies and chemical potentials of hard-sphere solutes solvated in hard-sphere solids were calculated by Monte Carlo method using the radial free-space distribution function. This method is based on calculating the entropy by comparing the free volume of a molecule with that of an ideal gas, and is applicable even when the size of solute is very large and the solvent is a solid. When the diameter of hard-sphere solute is small the solute molecule behaves as like as a fluid in solid structures, but when the diameter of solute becomes large, a fluid-to-solid phase transition takes place. The fluid-to-solid phase transition occurs at the region of the smaller size of solute with the more increase of solvent density. The least square fit values of analytical form of the radial free-space distribution functions of solute molecules are presented for future uses.