...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Communications in Nonlinear Science and Numerical Simulation >Comb model for the anomalous diffusion with dual-phase-lag constitutive relation
【24h】

Comb model for the anomalous diffusion with dual-phase-lag constitutive relation

机译：具有双相滞后本构关系的异常扩散的梳形模型

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

As a development of the Fick's model, the dual-phase-lag constitutive relationship with macroscopic and microscopic relaxation characteristics is introduced to describe the anomalous diffusion in comb model. The Dirac delta function in the formulated governing equation represents the special spatial structure of comb model that the horizontal current only exists on the x axis. Solutions are obtained by analytical method with Laplace transform and Fourier transform. The dependence of concentration field and mean square displacement on different parameters are presented and discussed. Results show that the macroscopic and microscopic relaxation parameters have opposite effects on the particle distribution and mean square displacement. Furthermore, four significant results with constant 1/2 are concluded, namely the product of the particle number and the mean square displacement on the x axis equals to 1/2, the exponent of mean square displacement is 1/2 at the special case tau(q) = tau(P), an asymptotic form of mean square displacement (MSD similar to t(1/2) as t - 0, infinity) is obtained as well at the short time behavior and the long time behavior. (C) 2018 Elsevier B.V. All rights reserved.
机译：作为菲克模型的发展，引入了具有宏观和微观弛豫特性的双相滞后本构关系来描述梳形模型中的异常扩散。制定的控制方程中的狄拉克（Dirac）三角函数表示梳状模型的特殊空间结构，即水平电流仅存在于x轴上。通过使用拉普拉斯变换和傅里叶变换的解析方法获得解。提出并讨论了浓度场和均方位移对不同参数的依赖性。结果表明，宏观和微观弛豫参数对粒子分布和均方位移具有相反的影响。此外，得出四个常数为1/2的显着结果，即粒子数与x轴上的均方位移的乘积等于1/2，在特殊情况tau下均方位移的指数为1/2 （q）= tau（P），均方根位移的渐近形式（MSD与t（1/2）类似，t-> 0，无穷大）在短时行为和长时行为中也可得到。 （C）2018 Elsevier B.V.保留所有权利。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号