• Title/Summary/Keyword: multidimensional diffusion process

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Cusum of squares test for discretely observed sample from multidimensional di usion processes

  • Na, Ok-Young;Ko, Bang-Won;Lee, Sang-Yeol
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.3
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    • pp.547-554
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    • 2010
  • In this paper, we extend the work by Lee et al. (2010) to multidimensional di usion processes. A test statistic analogous to the one-dimensional case is proposed to inves-tigate the joint stability of covariance matrix parameters and, under certain regularity conditions, is shown to have a limiting distribution of the sup of a multidimensional Brownian bridge. A simulation result is provided for illustration.

Theoretical Studies of Surface Diffusion : Multidimensional TST and Effect of Surface Vibrations

  • 곽기정;신석민;이상엽;신국조
    • Bulletin of the Korean Chemical Society
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    • v.17 no.2
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    • pp.192-198
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    • 1996
  • We present a theoretical formulation of diffusion process on solid surface based on multidimensional transition state theory (TST). Surface diffusion of single adatom results from hopping processes on corrugated potential surface and is affected by surface vibrations of surface atoms. The rate of rare events such as hopping between lattice sites can be calculated by transition state theory. In order to include the interactions of the adatom with surface vibrations, it is assumed that the coordinates of adatom are coupled to the bath of harmonic oscillators whose frequencies are those of surface phonon modes. When nearest neighbor surface atoms are considered, we can construct Hamiltonians which contain terms for interactions of adatom with surface vibrations for the well minimum and the saddle point configurations, respectively. The escape rate constants, thus the surface diffusion parameters, are obtained by normal mode analysis of the force constant matrix based on the Hamiltonian. The analysis is applied to the diffusion coefficients of W, Ir, Pt and Ta atoms on the bcc(110) plane of W in the zero-coverage limit. The results of the calculations are encouraging considering the limitations of the model considered in the study.

Application of Reaction Path Smoluchowski Equation Formalism to the Photoisomerization of Trans-Stilbene

  • Kim, Dong-Sup;Lee, Sang-Youb
    • Bulletin of the Korean Chemical Society
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    • v.12 no.6
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    • pp.692-698
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    • 1991
  • The reaction path Smoluchowski equation approach developed in a recent work to calculate the rate constant for a diffusive multidimensional barrier crossing process is extended to incorporate the configuration-dependent diffusion matrix. The resulting formalism is then applied to the investigation of stilbene photoisomerization dynamics. Adapting a model two-dimensional potential and a model diffusion matrix proposed by Agmon and Kosloff [J. Phys. Chem.,91 (1987) 1988], we derive an eigenvalue equlation for the relaxation rate constant of the stilbene photoisomerization. This eigenvalue equation is solved numerically by using the finite element method. The advantages and limitations of the present method are discussed.

Wisdom Definition Categorization and Wisdom Management as Characteristics of the Modern Business Environment (현대 경영환경의 특징에 따른 지혜 정의 분류와 '지혜경영' 제안)

  • Kim, Joo-Won;Lee, Byong-Jae;Park, Yong-Seung
    • Journal of Distribution Science
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    • v.13 no.7
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    • pp.63-71
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    • 2015
  • Purpose - The characteristics of the modern management environment in Korea clearly involve the limitations of knowledge management, globalization, changes in industrial structures, polarization of the economy, consumption, and education, and the demand for creative management. To achieve a continuous competitive advantage for individuals as well as organizations, Wisdom Management can be said to be a paradigm for the current environment. The Research is an alternative to environmental management in the early study of the need to conceptualize the theoretical approach to wisdom management. In other words, it presents a new management paradigm for a business environment of uncertainty and unpredictability. Furthermore, it aims to propose Wisdom Management as an alternative in the modern management environment as well as a topic of discourse. Its purpose is to provide basic knowledge to people who study and practice in this field to strengthen the competitiveness of individuals and companies. Research design, data, and methodology - This paper first provides six characteristics of the current management environment at home and abroad. It then attempts to emphasize the necessity of wisdom based on such characteristics by classifying wisdom according to recent management study research. This allows the derivation of definitions of wisdom management, suggesting its components and properties. Results - The six characteristics of the modern business environment are: 1) limits of knowledge, 2) intensifying globalized competition, 3) changes in industry structure - IoT (Internet of all Things) trend, 4) serious polarization and social unrest diffusion, 5) personal and organizational competitiveness creativity requirements, and 6) domestic special national and social situations. Therefore, accordingly, wisdom can be defined and classified as: wisdom that offers potential integration beyond knowledge, practicing and maintaining knowledge wisdom as an efficient strategy for an organization wisdom as a decision-making process that addresses ambivalence wisdom as the pursuit of common goods based on ethics; and, wisdom as creativity that involves intuition and insight. This paper attempts to define Wisdom Management in accordance with these definitions of wisdom. Wisdom Management is a management system that is awareof the current environment given in the multidimensional perspective, achieves the efficiency of the organization and the goals of common good through an uncertain decision-making process, based on the organization of individual and organizational knowledge, and the internal experiences and resources. Wisdom Management components include human beings, virtue, knowledge, creativity, and ambivalent thinking. Its properties include intentionality, self-destructiveness, creative and ethical reflexivity, complexity, insight, unpredictability, ambivalence, and wholeness. Conclusions - Since all organizations face the limitations of their environment, crises, and opportunities, applying wisdom in management to develop as Wisdom Management can be an inevitable alternative to the uncertainties of the management environment faced by modern society. The conceptualization of Wisdom Management forms a valuable context to further advance knowledge management theory into practice. It is also a cornerstone of strategic management and can provide insight into its potential for success and implementation.