“…The electric field application to colloidal suspensions generates a lot of interesting effects, which result in drastic changes of rheological, optical and electromagnetic properties of systems [1][2][3][4][5][6]. The external electric field polarizes the dispersed particles, enhances their attraction and aggregation [7][8][9], increases migration of the particles and the surrounding ions [10] and may cause deformation of the fluid particles [11].…”
“…The electric field application to colloidal suspensions generates a lot of interesting effects, which result in drastic changes of rheological, optical and electromagnetic properties of systems [1][2][3][4][5][6]. The external electric field polarizes the dispersed particles, enhances their attraction and aggregation [7][8][9], increases migration of the particles and the surrounding ions [10] and may cause deformation of the fluid particles [11].…”
“…in the opposite case. The functional corresponding to the constraints imposed on the solution can be written as (28) When all constraints imposed on the desired func tion are fulfilled simultaneously, the functional achieves its minimum (zero) value. The applied pen alty functions are the residuals of the initial equation and other integral equations, which are derived from the initial equation as well as the penalty functions on the distortion of boundary conditions and smoothness of the solution.…”
Section: Main Principles Of the Proposed Solution Methodsmentioning
confidence: 99%
“…In the field given by Eq. (19), the dependence in the polydisprese colloidal system appears as [28] (20) Here, Dependences and are estimated experimentally with accuracy to a constant factor equal to the difference , because, in a low field, it cannot be estimated. Having solved Eqs.…”
Section: Electrooptical Effects In Scattering Systemsmentioning
confidence: 99%
“…(51) For the numerical solution of linear system of equa tions (28), the DGESVD procedure from the LAPACK software [41] is used. This procedure makes…”
Section: Estimation Of the Local Minimummentioning
This work presents the general statement of the mathematical problem for estimating the distri bution functions of particles with respect to their parameters from the data on electrooptical studies of dis persed systems. The most typical equations describing electrooptical effects in solutions of kinetically rigid macromolecules and nanoscale systems are given, and the method for their solution is proposed. Using model distribution functions, the proposed method is compared with the regularization method.
“…A rod-shaped tobacco mosaic virus (TMV, about 0.018 µm in diameter and 0.3 µm in length [57]) demonstrates a strong orientation, near to complete saturation of the optical birefringence, in the electric field as high as ≈4 kV/cm [54]. Electrooptical studies of rod-shaped E. coli suspensions [58,59] shows the existance of strong orientational ordering at electric fields of E < 1 kV/cm.…”
Section: Survivor Kinetics Of a Partially Oriented Suspension Of Cellsmentioning
The nature of non-exponential kinetics in microbial cells inactivation by pulsed electric fields (PEF) is discussed. It was demonstrated that possible mechanism of non-exponential kinetics can be related to orientational disorder in suspension of microbial cells of anisotropic form. A numerical studies of spheroidal cell suspensions was carried out. The most pronounced deviations from the exponential kinetics were observed for disordered suspensions of prolate spheroids at small electric field strength E or at large aspect ratio a. For partially oriented suspensions, efficiency of inactivation enhances with increasing of order parameter and field strength. A possibility of the PEF-induced orientational ordering in microbial suspensions is discussed.
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