On the dynamics of the interaction between triggered active inclusions

Abstract

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 meanfield 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.

Field-mediated interactions of passive and conformation-active particles: multibody and retardation effects

“…Fig. 1 shows a comparison between the analytical force deriving from F pw (R) (calculated with field-theoretic methods in Appendix B) and the stochastic force obtained in simulations of type 1 (see eqn (30) in Appendix A) for two particles held at a fixed distance. In Fig.…”

Dynamics of the Force Exchanged between Membrane Inclusions

“…Using the self-consistent method of Ref. [27] it should also be possible to study inclusions with nonlinear couplings instantaneously setting the preferred curvature. It is also straightforward to consider inclusions triggered at different times: the existence of high transient forces should persist.…”