statistical mechanics/ rotational Brownian motionlinear molecule3Dstatistical mechanics studyFinally, a general scheme is proposed to solve the FPK equation in the form of series expansion. Approximative analytical expressions for the dielectric and Kerr functions, are obtained up to the third order in ...
Both exact and simple approximate analytical formulae for the longitudinal and transverse components of the complex dielectric permittivity tensor are obtained for the non-inertial rotational Brownian motion of a molecule in the mean field potential of Maier and Saupe. It appears that both longitudinal...
The stochastic equations of motion are solved for transient and equilibrium averages of the relevant dynamical variables. The single particle rototranslational Langevin equations correspond to the first equation of the Markov chain and (with a rotational constraint) are solved using Wiener matrix algebra...
Next, we consider the results of rotational diffusion theory within the framework of relaxation theory, in order to predict relaxation rates measured through NMR spectroscopy. These models may be fitted to experimentally measured NMR relaxation data in order to determine the diffusive hydrodynamic propert...
(e.g., in the case of identical counter- propagating beams), (ii) the system exhibits mirror symmetries about the x = x0 and y = y0 planes at the equilibrium position (e.g., in the case of a linearly polarized Gaussian beam), or (iii) the system exhibits rotational symmetry (e.g...
of the result. Roughly, the effect of the non-linearity is a small deformation of the rotational invariance, so that the resulting random matrix ensemble still exhibits the main features of rotational invariance. This provides precise enough information to control the limiting eigenvalue distribution....
The rotational/translational decomposition of the translation matrices (described inSect. 2.5) means that an important factor determining the speed a problem can be solved is the geometry of the problem. Selection of the right cartesian axes for the problem can speed it up considerably. ...
We report for the first time the theory of optical tweezers of spherical dielectric particles embedded in a chiral medium. We develop a partial-wave (Mie) expansion to calculate the optical force acting on a dielectric microsphere illuminated by a circul
Cell migration, an essential process for normal cell development and cancer metastasis, differs from a simple random walk: the mean-square displacement (〈(Δr)2(t)〉) of cells sometimes shows non-Fickian behavior, and the spatiotemporal correlation function (G(r,t)) of cells is often non...
nonmarkovian effects/ A0540 Fluctuation phenomena, random processes, and Brownian motion A3450E Rotational and vibrational energy transfer (atoms and molecules)The role of non-markovian effects in the stochastic treatment of vibrational-translational energy transfer in collinear atom-diatom collisions is ...