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Time Evolution of a Harmonic Chain with Fixed Boundary Conditions |
| LU Hong**, BAO Jing-Dong
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Department of Physics, Beijing Normal University, Beijing 100875
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LU Hong, BAO Jing-Dong 2011 Chin. Phys. Lett. 28 040505 |
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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.
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| Keywords:
05.20.Gg
02.60.Cb
05.40.Ca
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Received: 17 January 2011
Published: 29 March 2011
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