触发活性夹杂相互作用的动力学研究
On the dynamics of the interaction between triggered active inclusions
摘要：
在一维弹性介质中，有限的相关长度和纯松弛动力学，我们计算的弹性力F（t）之间的时间依赖性交换两个活跃的夹杂物，触发弹性形变在t=0。我们考虑（i）耦合到有限力场的线性包含体，和（ii）施加有限变形的非线性包含体。在非线性情况下，力呈现出比平衡力大得多的瞬态最大值，在距离L小于场的相关长度时发散为~L^（-2）。平均场和Casimir分量的相互作用进行了计算。我们还讨论了力的典型出现时间和平衡时间，比较了线性和非线性情况。在非线性情况下，高瞬态力的存在应该是弹性介导的相互作用的一般特征。
英文摘要：
In a one-dimensional elastic medium with finite correlation length and purely relaxational dynamics, we calculate the time dependence of the elastic force F(t) exchanged between two active inclusions that trigger an elastic deformation at t=0. We consider (i) linear inclusions coupling to the field with a finite force, and (ii) non-linear inclusions imposing a finite deformation. In the non-linear case, the force exhibits a transient maximum much larger than the equilibrium force, diverging as ~L^(-2) at separations L shorter than the field's correlation length. Both the mean-field and the Casimir component of the interaction are calculated. We also discuss the typical appearance time and equilibration time of the force, comparing the linear and the non-linear cases. The existence of a high transient force in the non-linear case should be a generic feature of elastically-mediated interactions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
