Browsing School of Engineering by Author "KALYMYKOV, YURI PETROVICH"
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Anisotropic rotational diffusion and transient nonlinear responses of rigid polar macromolecules in a strong external electric field
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Institute of Physics, 2007)Nonlinear transient responses of polar polarizable particles (macromolecules) diluted in a nonpolar solvent to a sudden change in magnitude of a strong external dc field are evaluated using the anisotropic noninertial ... -
Anomalous dielectric relaxation in an N-fold cosine potential
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2003)The fractional Klein-Kramers (Fokker-Planck) equation describing the fractal time dynamics of an assembly of fixed axis dipoles rotating in an N-fold cosine potential representing the internal field due to neighboring ... -
Anomalous nonlinear dielectric and Kerr effect relaxation steady state responses in superimposed ac and dc electric fields
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Institute of Physics, 2007)It is shown how the rotational diffusion model of polar molecules (which may be described in microscopic fashion as the diffusion limit of a discrete time random walk on the surface of the unit sphere) may be extended to ... -
Bimodal approximation for anomalous diffusion in a potential
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2004)Exact and approximate solutions of the fractional diffusion equation for an assembly of fixed-axis dipoles are derived for anomalous noninertial rotational diffusion in a double-well potential. It is shown that knowledge ... -
Classical quantum crossover in magnetic stochastic resonance in uniaxial superparamagnets
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (2010)It is shown that the signal-to-noise ratio of the magnetic moment fluctuations in the magnetic stochastic resonance of a quantum uniaxial paramagnet of arbitrary spin value S subjected to a weak probing ac field H(t) = ... -
Constant-magnetic-field effect in Neel relaxation of single-domain ferromagnetic particles
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (1995)The relaxation behavior of an assembly of noninteracting single-domain ferromagnetic particles in the presence of a constant magnetic field is studied by solving the corresponding Fokker-Planck equation. The analysis is ... -
Dynamic susceptibilities of an assembly of dipolar particles in an elastic environment
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2001)Theoretical model to describe magnetodynamics of a ferrogel, i.e., an assembly of ferromagnetic nanoparticles embedded in a gel, is proposed. The reorientations of the particles are determined by the influence of the elastic ... -
Effect of a uniform bias force on the Brownian movement in double-well potentials
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 1997)A general property of the Brownian motion in a bistable potential with the asymmetry arising from the imposition of a bias force is described. The property is that, at values of the bias force far less than the critical value ... -
Effect of an oblique magnetic field on the superparamagnetic relaxation time
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 1995)The effect of a constant magnetic field, applied at an angle to the easy axis of magnetization, on the Neel relaxation time of a single domain ferromagnetic particle (with uniaxial anisotropy) is studied by calculating the ... -
Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential. II. Application to the ring-laser gyroscope
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 1993)The effective-eigenvalue method is used to obtain an approximate solution for the mean beat-signal spectrum for the ring-laser gyroscope in the presence of quantum noise. The accuracy of the effective-eigenvalue method is ... -
Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 1993)The effective-eigenvalue method is used for a calculation of the impedance of the Josephson tunneling junction for an externally applied small-signal alternating current in the presence of noise. The accuracy of the method ... -
Exact analytic formula for the correlation time of a single-domain ferromagnetic particle
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 1994)Exact solutions for the longitudinal relaxation time T and the complex susceptibility ?(?) of a thermally agitated single-domain ferromagnetic particle are presented for the simple uniaxial potential of the crystalline ... -
Fractional rotational diffusion of rigid dipoles in an asymmetrical double-well potential
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH; VIJ, JAGDISH KUMAR (American Physical Society, 2005)The longitudinal and transverse components of the complex dielectric susceptibility tensor of an assembly of dipolar molecules rotating in an asymmetric double-well potential are evaluated using a fractional rotational ... -
Fractional translational diffusion of a Brownian particle in a double well potential
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Institute of Physics, 2006)The fractional translational diffusion of a particle in a double-well potential (excluding inertial effects) is considered. The position correlation function and its spectrum are evaluated using a fractional probability ... -
Inertial effects in anomalous dielectric relaxation
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2002)The inertia corrected Debye model of rotational Brownian motion of polar molecules is generalized to fractional dynamics (anomalous diffusion) in the context of the fractional Klein-Kramers equation. The fractal generalization ... -
Inertial effects in anomalous dielectric relaxation of symmetrical top molecules
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2004)The linear dielectric response of an assembly of noninteracting symmetrical top molecules (each of which is free to rotate in space) is evaluated in the context of fractional dynamics. The infinite hierarchy of ... -
Inertial effects in the anomalous dielectric relaxation of rotators in space
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2002)The linear dielectric response of an assembly of noninteracting linear (needlelike) dipole molecules (each of which is free to rotate in space) is evaluated in the context of fractional dynamics. The infinite hierarchy of ... -
Inertial effects in the anomalous dielectric relaxation of rotators in space
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2002)The linear dielectric response of an assembly of noninteracting linear (needlelike) dipole molecules (each of which is free to rotate in space) is evaluated in the context of fractional dynamics. The infinite hierarchy of ... -
Inertial Effects in the Fractional Translational Brownian Motion in a Double-Well Potential
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (2007)The anomalous translational diffusion including inertial effects of nonlinear Brownian oscillators in a double well potential V(x)=ax2?2+bx4?4 is considered. An exact solution of the fractional Klein-Kramers (Fokker-Planck) ... -
Inertial effects in the nonlinear transient relaxation of rigid rodlike molecules in a strong dc electric field
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Institute of Physics, 2008)A method of calculation of nonlinear transient responses of an assembly of noninteracting polar linear molecules due to sudden changes in a strong external dc electric field is presented. The infinite hierarchy of ...