Low-Dimensional Subsystems in Anharmonic Lattices
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概要
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In an anharmonic lattice model, when one initially places energy only in a subset of normal modes, ε, the energy would not necessarily diffuse to all the modes, but can be retained by a certain subset of modes, I(⊃ε), called as the type I subset. This phenomenon is due to both the selection rules for the mode interaction and the initial localization of energy. For such initial excitation, the dynamics can be fully described by a low-dimensional sub-Hamiltonian. Analyzing the mode-coupling coefficients, we obtain useful expressions for the type I subsets for a one-dimensional monatomic lattice with fixed ends. In addition, we explicitly derive the one- and two-mode sub-Hamiltonians.
- 理論物理学刊行会の論文
- 2003-09-30
著者
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Shinohara Shunjiro
Department Of Physics Faculty Of Sciences University Of Tokyo
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SHINOHARA Susumu
Department of Applied Physics, Waseda University
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Shinohara Susumu
Department Of Applied Physics Waseda University
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Shinohara S
Department Of Physical Sciences Ritsumeikan University
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