Anisotropic dielectric response occurs naturally due to the presence of gradation, like in functionally graded materials or graded biological cells. However, these materials with locally anisotropic dielectric responses can have macroscopically isotropic responses. In treating graded particles of anisotropic materials, traditional isotropic gradation methods need to be modified. In this work, w...

enzymes catalyze many biological reactions. the rates of chemical reaction in the presence ofenzymes are, in some cases, accelerated more than 10 orders of magnitude relative to thecorresponding rates in solution.in this paper a comparison between optimized structures of two enzyme molecules in aspect ofenergy and dipole moment in different conditions including presence of metallic ion, without...

An 'oscillating' version of Brownian motion is defined and studied. 'Ordinary' Brownian motion and 'reflecting' Brownian motion are shown to arise as special cases. Transition densities, first-passage time distributions, and occupation time distributions for the process are obtained explicitly. Convergence of a simple oscillating random walk to an oscillating Brownian motion process is establis...

Stimuli-responsive polymers and their application to biomaterials have been widely studied. On the other hand, as a novel biomimetic polymer, we have been studying the polymer with an autonomous self-oscillating function by utilizing oscillating chemical reactions. So far, we succeeded in developing a novel self-oscillating polymer and gels by utilizing the oscillating reaction, called the Belo...

In quantum theory, for a system with macroscopic wavefunction, the charge density and current are represented by non-commuting operators. It follows that anomaly $I=\partial_t \rho + \nabla \cdot \mathbf{j}$, being essentially linear combination of these two operators in frequency-momentum domain, does not admit eigenstates has minimum uncertainty fixed Heisenberg relation $\Delta N \Delta \phi...

a noninteracting quantum-dot arrays side coupled to a quantum wire is studied. transport through the quantum wire is investigated by using a noninteracting anderson tunneling hamiltonian. the conductance at zero temperature develops an oscillating band with resonances and antiresonances due to constructive and destructive interference in the ballistic channel, respectively. moreover, we have fo...

We derive the explicit analytical form for charge-dipole and dipole-dipole interactions in two-dimensional (2D) configuration space. demonstrate that reduction of dimensionality can alter 2D case. The asymptotics these at long distances coincide to three-dimensional obtained will find wide application contribute advancement research on novel materials.