Connectivity percolation in suspensions of hard platelets

Aspect ratio 5.0: Splay K1 , twist K2 , and bend K3 elastic constants; volume fraction ϕ; nematic order parameter S; fourth-order Legendre polynomial P4 ... Aspect ratio 2.5: Splay

covering the entire range of aspect ratios from spheres to extremely slender needles. A new version of connectedness percolation theory is introduced and tested against

To analyse the simulation results, we also present a theoretical treatment of the problem within connectedness percolation theory that we find to quantitatively predict the

In Figure 7, we show that the mean size of the largest crystallite can be described by a growth law that is approximately exponential with time once the nucleation event has set

关 12 兴 , where the coexistence properties of the bulk isotropic and nematic phases of hard spherocylinders are carefully mapped out us- ing Gibbs ensemble Monte Carlo 关 19 兴..

In the framework of density functional theory 共DFT兲 all these studies showed that the interfacial tension of hard rods is minimal in the case of parallel anchoring, i.e., when

Definition 3 (Order of irreducible connected subsets) Let X = (X, K) be a (finite and integral) connectivity space.. We define by induction the order of each

Abstract 2014 The temperature variations of the order parameter invariants are measured in the uniaxial and biaxial nematic phases of different mixtures of potassium