Journal of Guangxi Normal University(Natural Science Edition) ›› 2012, Vol. 30 ›› Issue (3): 77-82.

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Dissipation Effect of Quantum Fluctuation on Envelope Soliton in Fermi-Pasta-Ulam Model

ZENG Shang-you, ZHANG Zheng-zhen, ZENG Shao-wen, ZHOU Li-ming, WANG Rong-feng, TANG Wen-yan, FANG Xin-he, LIANG Dan   

  1. College of Electronic Engineering,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2012-05-26 Online:2012-09-20 Published:2018-12-04

Abstract: In this paper,the time-dependent variational principle (TDVP) is applied to study the one-dimensional Fermi-Pasta-Ulam (FPU) model,and the dynamic equation of particles in the chain is obtained by TDVP.In thesemi-quantal study,the considered quantum effect is quantum fluctuation.The Jackiw-Kerman wave function is used for the single particle.The research results show that quantum fluctuation can disperse,blur and even destroy the nonlinear excitation of FPU model,envelope soliton.The effect of quantum fluctuation has thequasi-exponentional relationship with the effective Plank constant.Furthermore,it is found that coupling the effective Plank constant the anharmonic couplingstrength has the joint effect on quantum dissipation.The uniquely joint effect may be induced by the unique Hamiltonian of the FPU chain.

Key words: Fermi-Pasta-Ulam model, quantum fluctuation, time-dependent variational principle

CLC Number: 

  • O415.6
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