Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath
S. Makino,
T. Fukui,
T. Yoshida
et al.
Abstract:We propose a one-dimensional (1D) diffusion equation (heat equation) for systems in which the diffusion constant (thermal diffusivity) varies alternately with a spatial period a. We solve the time evolution of the field (temperature) profile from a given initial distribution, by diagonalising the Hamiltonian, i.e., the Laplacian with alternating diffusion constants, and expanding the temperature profile by its eigenstates. We show that there are basically phases with or without edge states. The edge states aff… Show more
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