Schrodinger Equation Approach to Collision Phenomena in Reaction-Diffusion Systems : Condensed Matter and Statistical Physics
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概要
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Collision phenomenon in reaction-diffusion systems with one・dimensional media is dealt with from a unified viewpoint. The transformation from a space coordinate x and time t into two phases, i.e., a travelling wave front phase and a periodic plane wave phase, enables us to discuss both head-on collisions and overtaking-type collisions between two plane waves having different wave numbers and different frequencies. It is shown that, in spite of strong dissipation effect, a nonlinear Schrodinger equation can be derived from a rather general reaction-diffusion equation. Although the derived equation possesses a potential which is composed of complicated functionals of a wave function, it is shown that the solution representing the collision state without any phaseless point corresponds to the ground state in the Schrodinger equation.
- 理論物理学刊行会の論文
- 1984-12-25
著者
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KOGA Shinji
Diagnostics Research and Development Department, Asahi-Kasei Corporation
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KOGA Shinji
Department of Diagnostics Research & Development, Asahi Chemical Industry Co., Ltd.
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