Browsing by Author "COFFEY, WILLIAM THOMAS"
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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 KleinKramers 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 DoubleWell 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 KleinKramers (FokkerPlanck) ... 
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 ... 
Inertial effects in the orientational relaxation of rodlike molecules in a uniaxial potential
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2009)The inertial rotational Brownian motion and dielectric relaxation of an assembly of noninteracting rodlike polar molecules in a uniaxial potential are studied. The infinite hierarchy of differentialrecurrence relations ... 
Interpolation formula between very low and intermediatetohigh damping Kramers escape rates for singledomain ferromagnetic particles
COFFEY, WILLIAM THOMAS (American Physical Society, 2001)It is shown that the Mel?nikovMeshkov formalism for bridging the very low damping (VLD) and intermediatetohigh damping (IHD) Kramers escape rates as a function of the dissipation parameter for mechanical particles may ... 
Langevin equation approach to diffusion magnetic resonance imaging
KERSKENS, CHRISTIAN MATTHIAS; COFFEY, WILLIAM THOMAS (2009)The normal phase diffusion problem in magnetic resonance imaging (MRI) is treated by means of the Langevin equation for the phase variable using only the properties of the characteristic function of Gaussian random variables. ... 
Longitudinal complex magnetic susceptibility and relaxation time of superparamagnetic particles with cubic magnetic anisotropy
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 1998)The magnetic relaxation of singledomain ferromagnetic particles with cubic magnetic anisotropy is treated by averaging the GilbertLangevin equation for an individual particle, so that the system of linear differentialrecurrence ... 
Magnetization dynamics of two interacting spins in an external magnetic field
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH; TITOV, SERGEY (American Physical Society, 2005)The longitudinal relaxation time of the magnetization of a system of two exchange coupled spins subjected to a strong magnetic field is calculated exactly by averaging the stochastic GilbertLandauLifshitz equation for ... 
Microscopic models for dielectric relaxation in disordered systems
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2004)It is shown how the Debye rotational diffusion model of dielectric relaxation of polar molecules (which may be described in microscopic fashion as the diffusion limit of a discrete time random walk on the surface of ... 
Nonlinear dielectric relaxation and dynamic Kerr effect in a strong dc electric field suddenly switched on: Exact solutions for the threedimensional rotational diffusion model
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 1996)The infinite hierarchy of differentialrecurrence relations for ensemble averages of the spherical harmonics pertaining to the noninertial rotational Brownian motion of an ensemble of polar and anisotropically ... 
Nonlinear impedance of a microwavedriven Josephson junction with noise
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2000)The nonlinear impedance of a point Josephson junction is calculated under various conditions for the resistively shunted junction model in the presence of noise. The calculation proceeds by solving the Langevin equation ... 
Nonlinear noninertial response of a Brownian particle in a tilted periodic potential to a strong ac force
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2000)The solution of the Langevin equation describing the dynamics of a Brownian particle in a tilted periodic potential in the overdamped limit is obtained in terms of a matrix continued fraction, allowing us to evaluate ... 
Nonlinear noninertial response of a quantum Brownian particle in a tilted periodic potential to a strong ac force as applied to a point Josephson junction
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2009)The normal phase diffusion problem in magnetic resonance imaging (MRI) is treated by means of the Langevin equation for the phase variable using only the properties of the characteristic function of Gaussian random variables. ... 
Nonlinear noninertial response of a quantum Brownian particle in a tilted periodic potential to a strong ac force as applied to a point Josephson junction
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2009)The quantum Smoluchowski equation for the reduced Wigner function in configuration space pertaining to the quantum Brownian motion of a particle in a tilted cosine potential in the high dissipation (or noninertial) limit ... 
Nonlinear response of permanent dipoles in a uniaxial potential to alternating fields
COFFEY, WILLIAM THOMAS; KALYMYKOV, YURI PETROVICH (American Physical Society, 2005)It is shown how the existing theory of the dynamic Kerr effect and nonlinear dielectric relaxation based on the noninertial Brownian rotation of noninteracting rigid dipolar particles may be generalized to take into account ... 
Phase space Langevin equation for spin relaxation in a dc magnetic field
COFFEY, WILLIAM THOMAS (IOP Publishing, 2009)A Langevin equation for the quantum Brownian motion of a spin of arbitrary size in a uniform external dc magnetic field is derived from the phase space master equation in the weak coupling and narrowing limits, for the ... 
Phase space master equations for quantum Brownian motion in a periodic potential: comparison of various kinetic models
COFFEY, WILLIAM THOMAS; DOWLING, WILLIAM JOSEPH (2011)The dynamics of quantum Brownian particles in a cosine periodic potential are studied using the phase space formalism associated with the Wigner representation of quantum mechanics. Various kinetic phase space master ...