Monolayer films of liquid crystalline polymers (LCPs) are modelled with a mesoscopic two-dimensional (2D) analogue of the Doi-Hess (1981, 1976) rigid rod model. One aim is to establish a more complete solution to the classical problem of how orientational degeneracy of quiescent nematic equilibria breaks in weak shear. We exploit the simplicity of 2D liquids to extend results of Kuzuu and Doi (...

The excited states of atomic anions in liquids are bound only by the polarization of the surrounding solvent. Thus, the electron-detachment process following excitation to one of these solvent-bound states, known as charge-transfer-to-solvent (CTTS) states, provides a useful probe of solvent structure and dynamics. These transitions and subsequent relaxation dynamics also are influenced by othe...

Abstract Liquid crystalline polymer (LCP) coatings offer avenues for the fabrication of devices with smart surfaces incorporating responsive topography, reflectivity, or polarization from their unique anisotropic optical and mechanical properties. LCPs have most commonly been made by photopolymerization reactive mesogens within confined cells. Here, an alternative method preparing LCP using ini...

Traditionally, Least Cost Paths (LCP) are used for exploring mobility across archaeological landscapes. However, LCPs only highlight optimal paths, and implementing maritime is arduous. In this paper, Circuit Theory (CT) analysis to analyse potential mobility. Key the effect of wind patterns, dependent on month direction travel, This applied case study urbanism in Roman Adriatic, it shown that ...

A linear complementarity problem (LCP) is formulated for the price of American options under the Bates model which combines the Heston stochastic volatility model and the Merton jump-diffusion model. A finite difference discretization is described for the partial derivatives and a simple quadrature is used for the integral term due to jumps. A componentwise splitting method is generalized for t...

A first order affine scaling method and two mth order affine scaling methods for solving monotone linear complementarity problems (LCP) are presented. All three methods produce iterates in a wide neighborhood of the central path. The first order method has O(nL2(lognL2)(log lognL2)) iteration complexity. If the LCP admits a strict complementary solution then both the duality gap and the iterati...

Copositivity tests are presented based on new necessary and sufficient conditions requiring the solution of linear complementarity problems (LCP). Methodologies involving Lemke’s method, an enumerative algorithm and a linear mixed-integer programming formulation are proposed to solve the required LCPs. A new necessary condition for (strict) copositivity based on solving a Linear Program (LP) is...

The paper presents a new reduction method designed for dynamic contact problems. Recently, we have proposed an efficient scheme the node-to-node formulation, that leads to Linear Complementarity Problems (LCP). Here, enhance underlying problem node-to-segment formulation. Due application of dual approach, Nonlinear Problem (NCP) is obtained, where condition described by quadratic inequality and...

Local CPS conversion is a compiler transformation for improving the code generated for nested loops by a direct-style compiler that uses recursive functions to represent loops. The transformation selectively applies CPS conversion at non-tail call sites, which allows the compiler to use a single machine procedure and stack frame for both the caller and callee. In this paper, we describe LCPS co...

The research activities are focused on modeling of polymeric liquid crystal (LCP) flows. We first summarizes our comprehensive studies on the shear and elongational flow with an imposed velocity field. This includes a complete characterization of the orientational equilibria and their bifurcation behavior as well as the detailed study on the orientation dynamics with respect to both types of fl...