摘要
在生物系统和某些生命现象中,存在一种独具特性的缓慢波动过程,用传统的基于弹性动力学或流体动力学的波动理论无法解释.为解释这一现象,采用一个发展了的简单物理-数学模型,并进而得到一个新型波动色散关系k=1/2^(1/2)2^(1/2)ω/D.根据此色散关系得到波传播速度,即U=4kD=8πDλ.根据实验提供的数据,由此公式计算得到的波速与实验观测的结果完好相符.
There is a class of slow wave propagation in bio-system and life phenomena with some new features which cannot be described by traditional wave theory based on the elastodynamics or fluid dynamics.To give a description on the new wave phenomenon,we suggest a new physical-mathematical model,which leads to a new dispersion relation k=1/2^（1/2）2^（1/2）ω/D,wherekthewavenumber,ωthecircular frequency（or angular frequency）,D the diffusion coefficient in the relevant diffusion equation.This relation is quite different from those classical dispersion relations based on the elastodynamics or fluid dynamics.The present result couples wave propagation and diffusion—these are two different kinds of motions.From the relation the wave speed is derived as U = 4kD = 8π Dλ,which shows that wave speed depends not only upon the quantities describing wave（e.g.wave length λ） but also diffusion coefficient D.The theoretical prediction based the formula is in good agreement to that of experimental measurement.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2010年第7期757-757,784,共2页
Transactions of Beijing Institute of Technology
基金
德国洪堡基金资助项目~~
关键词
缓慢波动
色散关系
波传播速度
slow wave
dispersion relation
wave propagation speed
