Titlebook: Geometrical Formulation of Renormalization-Group Method as an Asymptotic Analysis; With Applications to Teiji Kunihiro,Yuta Kikuchi,Kyosuke

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A General Theory for Constructing Mesoscopic Dynamics: Doublet Scheme in RG MethodWe present a general framework in the RG method to reduce microscopic dynamics to . dynamics, which occupies an intermediate level between the descriptions by the microscopic dynamics and macroscopic dynamics. This framework in the RG method is called the .. To demonstrate the validity of the doublet scheme, we analyze the Lorenz model.

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Creating Shortages of Human Assets na?ve perturbation series of solutions of ordinary differential equations. This chapter also constitutes an elementary introduction to some standard methods for solving linear inhomogeneous ordinary differential equations in the undergraduate level, and a detailed account is given of the method of variation of constants in the appendix.

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In defense of institutionalism,luid dynamic equation from the underlying microscopic theory such as the relativistic Boltzmann equation (RBE). Then after some of basic properties of the RBE are described, we make a detailed account of the Chapman-Enskog and the Israel-Stewart methods for deriving fluid dynamic equations from the RBE, with some critical comments.

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