Dynamical Aspects of Lattice Thermal Expansion
1984 年 53 巻 2 号 p. 620-626
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1984 年 53 巻 2 号 p. 620-626
Thermal expansion of a one-dimensional anharmonic lattice is studied from a dynamical point of view. Our averaged-Lagrangian scheme gives an expression for a local strain operator in terms of the fundamental modulation ψ±1, time evolution of which is governed by a nonlinear Schroedinger (NLS) equation. Regarding the expansion produced by the NLS soliton (a one-soliton solution to the NLS eq.) as a unit of lattice expansion, we calculate the contribution to thermal expansion from self-modulation of monochromatic waves and compare it with the exact result.
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