摘要We investigate the time evolution of a coupled harmonic-oscillator chain under two boundary conditions: two ends fixed and one end fixed. The dynamics of the coupled chain and the steady variances of the coordinates are explicitly analyzed by the entire Hamiltonian using a diagonalization approach. Our result shows the desirable symmetry for the case with two ends fixed. In particular, a Langevin simulation technique is proposed to sample the harmonic chain across the entire equilibrium distribution.
Abstract：We investigate the time evolution of a coupled harmonic-oscillator chain under two boundary conditions: two ends fixed and one end fixed. The dynamics of the coupled chain and the steady variances of the coordinates are explicitly analyzed by the entire Hamiltonian using a diagonalization approach. Our result shows the desirable symmetry for the case with two ends fixed. In particular, a Langevin simulation technique is proposed to sample the harmonic chain across the entire equilibrium distribution.
LU Hong**;BAO Jing-Dong
. Time Evolution of a Harmonic Chain with Fixed Boundary Conditions[J]. 中国物理快报, 2011, 28(4): 40505-040505.
LU Hong**, BAO Jing-Dong
. Time Evolution of a Harmonic Chain with Fixed Boundary Conditions. Chin. Phys. Lett., 2011, 28(4): 40505-040505.
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2011, Vol. 28 
