• Title/Summary/Keyword: theory lattice

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Nonlinear Localized Modes in Photonic Crystals

  • Park, Q-Han
    • Journal of the Optical Society of Korea
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    • v.6 no.3
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    • pp.96-99
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    • 2002
  • We give a brief overview of nonlinear localized modes in photonic crystals. We explain how photonic crystals can potentially be important in making small scale active devices which operate in an all optical way. Two models to approach nonlinear photonic crystals, the coupled mode theory and the discrete lattice theory using a Green's function, are explained.

Development of Effective Stiffness and Effective Strength for a Truss-Wall Rectangular model combined with Micro-Lattice Truss (트러스 벽면과 미세격자 트러스로 구성된 정육면체 단위모델의 강성 및 강도 개발)

  • Choi, Jeong-Ho
    • Journal of the Korean Society of Industry Convergence
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    • v.19 no.3
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    • pp.133-143
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    • 2016
  • The objective in here is to find the density, stiffness, and strength of truss-wall rectangular (TWR) model which is combined with lattice truss (MLT) inside space. The TWR unit-cell model is defined as a unit cell originated from a solid-wall rectangular (SWR) model and it has an empty space inside. Thus, the empty space inside of the TWR is filled with lattice truss model defined as TWR-MLT. The ideal solutions derived of TWR-MLT are based on TWR with MLT model and it has developed by Gibson-Ashby's theory. To validate the ideal solutions of the TWR-MLT, ABAQUS software is applied to predict the density, strength, and stiffness, and then each of them are compared with the Gibson-Ashby's ideal solution as a log-log scale. Applied material property is stainless steel 304 because of cost effectiveness and easy to get around. For the analysis, SWR and TWR-MLT models are 1mm, 2mm, and 3mm truss diameter separately within a fixed 20mm opening width. In conclusion, the relative Young's modulus and relative yield strength of the TWR-MLT unit model is reasonably matched to the ideal expectations of the Gibson-Ashby's theory. In nearby future, TWR-MLT model can be verified by advanced technologies such as 3D printing skills.t.

PMR in Organic Plastic Crystals (I). Pivalic Acid (유기플라스틱 결정체의 PMR 연구 (제 1 보). 피발산)

  • Stefan J. K. Choi;John D. Graham
    • Journal of the Korean Chemical Society
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    • v.19 no.3
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    • pp.149-155
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    • 1975
  • Pivalic acid, which has a globular shape and is a plastic crystal, has been examined by means of temperature-dependent with-line proton magnetic resonance spectroscopy. Results of temperature-dependent line width, second moment, and spin-lattice relaxation time studies of pivalic acid were interpreted in terms of dynamic behavior and hydrogen bonding. The dynamic behavior consists of superimposed reorientation of the methyl groups about their three-fold axes$(C_3) and of the molecule about the central C-C bond(C_3'),$ general molecular reorientation about the center of gravity, and molecular self-diffusion. Activation energies for the motional processes have been obtained from line width measurements using the modified Bloembergen, Purcell, and Pound theory and from spin-lattice relaxation time measurements. The results were compared with the Pople-Karasz theory of fusion and the agreement was found to be poor. The discrepancy was interpreted in terms of hydrogen bonding in this molecule.

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Г-DEVIATION AND LOCALIZATION

  • Albu, Toma;Teply, Mark L.
    • Journal of the Korean Mathematical Society
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    • v.38 no.5
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    • pp.937-954
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    • 2001
  • This paper is a natural continuation of [2], [3], [4] and [5]. Localization techniques for modular lattices are developed. These techniques are applied to study liftings of linear order types from quotient lattices and to find Г-dense sets in certain lattices without Г-deviation in the sense of [4], where Г is a set of indecomposable linear order types.

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Electric conduction and breakdown of organic insulator (유기절연물의 전기전도와 절연파괴)

  • 성영권
    • 전기의세계
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    • v.16 no.4
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    • pp.11-16
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    • 1967
  • A physical analysis is applied to the measured phenomena of aromatic organic compounds under the uniform electric field of 0.1MV/cm through 1.5MV/cm, when they are irradiated or non-irradiated respectively. Upon the observations about irradiation effects, space charge effects and their temperature dependance, the conditions of lattice defects act conspicuously on electric conductrivity, photo conductivity and dielectric breakdown. Although the qualitative agreement with Frohlich's high energy criterion theory for the above mechanisms is poor, it is concluded that the phenomena of aromatic compounds may possibly be due to the effect of lattice defects or impurity centers generated by .gamma.-ray irradiations.

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ON FUZZY CLOSEDNESS IN LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae;Song, Seok-Zun;Roh, Eun-Hwan
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.341-355
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    • 2003
  • The fuzzification of ${\bigotimes}-closed$ set is considered, and its basic properties we investigated. Characterizations of fuazzy ${\bigotimes}-closed$ set we given. Using a collection of ${\bigotimes}-closed$ sets with additional conditions, a fuzzy ${\bigotimes}-closed$ set is stated. The theory of fuzzy topological ${\bigotimes}-closed$ sets is discussed.

Topological Approach to the Rubber Elasticity of Polymer Networks

  • Son Jung Mo;Pak Hyungsuk
    • Bulletin of the Korean Chemical Society
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    • v.10 no.1
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    • pp.84-96
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    • 1989
  • Applying the topological theory of rubber elasticity which was suggested by K. Iwata to the newly devised body-centered cubic lattice model, the authors calculated the values of four terms of the free energy to form polymer networks. Finding the projection matrix of the BCL model, and comparing this with the values of the simple cubic lattice (abbreviated to SCL hereafter) model of K. Iwata, the authors obtained the stress versus strain curves and found that the curves are in good agreement with the experimental results of poly(dimethyl siloxane) networks.

Study on the Free Surface Behavior Using the Lattice Boltzmann Method (격자볼츠만법을 이용한 자유수면 거동 특성 연구)

  • Jung, Rho-Taek
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.16 no.4
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    • pp.255-262
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    • 2013
  • The boltzmann equation is based on the particle distribution function while the Navire-Stokes equation based on the continuum theory. In order to simulate free surface flow, this paper used the Lattice Boltzmann Method of which is the discretized form. The detail study on the characteristics of the Lattice Boltzmann Method for the free surface simulation was investigated. The developed code was validated with the traditional dam breaking problem by tracking the front position of the water. A basic roles of density functions in the Lattice Boltzmann Method is discussed. To have an engineering applications, the simulation is also conducted the free surface behavior with an arbitrary wall geometry.

Thermal Behavior of Critical Micelle Concentration from the Standpoint of Flory-Huggins Model

  • Lim, Kyung-Hee
    • Bulletin of the Korean Chemical Society
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    • v.30 no.9
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    • pp.2001-2006
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    • 2009
  • Temperature dependence of the critical micelle concentration (CMC), $x_{CMC}$, in micellization can be described by ln $x_{CMC}$ = A + BT + C lnT + D/T, which has been derived statistical-mechanically. Here A, B, C, and D are fitting parameters. The equation fits the CMC data better than conventionally used polynomial equations of temperature. Moreover, it yields the unique(exponent) value of 2 when the CMC is expressed in a power-law form. This finding is quite significant, because it may point to the universality of the thermal behavior of CMC. Hence, in this article, the nature of the equation ln $x_{CMC}$ = A + BT + C lnT + D/T is examined from a lattice-theory point of view through the Flory-Huggins model. It is found that a linear behavior of heat capacity change of micellization is responsible for the CMC equation of temperature.

The Embedded Atom Method Analysis of the Palldium (Palladium의 Embedded Atom Method 개발)

  • 정영관;김경훈;김세웅;이성희;이근진;박규섭
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.652-655
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    • 2002
  • The embedded atom method based on the density functional theory is used for calculating ground state properties of realistic metal systems. In this paper, we had corrected constitutive formulae and parameters on the palladium for the purpose of doing Embedded Atom Method analysis. And then we have computed the properties of the palladium on the fundamental scale of the atomic structure. In result, simulated ground state properties, such as the lattice constant, elastics constants and the sublimation energy, show good agreement with Daw's simulation data and with experimental data.

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