Condensed Matter Theory

Abstract:

Umbilic defects of strength s = ±1 were induced in a nematic liquid crystal with negative dielectric anisotropy, confined to Hele-Shaw cells with homeotropic boundary conditions, and their annihilation dynamics followed experimentally. The speeds of individual defects of annihilating defect pairs with strengths of equal magnitude and opposite sign were determined as a function of several externally applied parameters, such as cell gap, electric field amplitude, frequency, and temperature. It was shown that annihilating defects do not approach each other at equal speeds, but that a speed anisotropy is observed, with the positive defect moving faster than the negative one. The defects move more slowly as the strength of the applied electric field or the cell gap is increased. The speed anisotropy is found to be essentially constant for varying external conditions which do not change the material properties of the liquid crystal material, i.e., confinement, electric field amplitude, or frequency. Only for applied conditions that change material properties, such as temperature changing viscosity, does the speed anisotropy vary. The annihilation dynamics was also simulated numerically giving good qualitative agreement with the experiments. Using insight gained from the simulations we interpret the defects' speed in terms of their overlap and the speed asymmetry as arising from backflow effects and anisotropy in the elastic constants.

Abstract:

The propulsion velocity of active colloids that asymmetrically catalyze a chemical reaction is probed experimentally as a function of their sizes. It is found that over the experimentally accessible range, the velocity decays as a function of size, with a rate that is compatible with an inverse size dependence. A diffusion-reaction model for the concentrations of the fuel and waste molecules that takes into account a two-step process for the asymmetric catalytic activity on the surface of the colloid is shown to predict a similar behavior for colloids at the large size limit, with a saturation for smaller sizes.

Abstract:

The propulsion velocity of active colloids that asymmetrically catalyze a chemical reaction is probed experimentally as a function of their sizes. It is found that over the experimentally accessible range, the velocity decays as a function of size, with a rate that is compatible with an inverse size dependence. A diffusion-reaction model for the concentrations of the fuel and waste molecules that takes into account a two-step process for the asymmetric catalytic activity on the surface of the colloid is shown to predict a similar behavior for colloids at the large size limit, with a saturation for smaller sizes.

Abstract:

The effect of the microscopic structure of a pore on polymer translocation is studied using Langevin dynamics simulation, and the consequence of introducing patterned stickiness inside the pore is investigated. It is found that the translocation process is extremely sensitive to the detailed structure of such patterns with faster than exponential dependence of translocation times on the stickiness of the pore. The stochastic nature of the translocation process leads to discernable differences between how polymers with different sequences go through specifically patterned pores. This notion is utilized to propose a stochastic sensing protocol for polynucleotides, and it is demonstrated that the method, which would be significantly faster than the existing methods, could be made arbitrarily robust.