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- Yuri P Kalmykov, William T. Coffey, Derrick S F Crothers, S V Titov
- Physical review. E, Statistical, nonlinear, and…
- 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… (More)

- Yuri P Kalmykov, William T. Coffey, S V Titov
- Physical review. E, Statistical, nonlinear, and…
- 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… (More)

- W. T. Coffey, M Zarifakis, Yuri P Kalmykov, S V Titov, W. J. Dowling, Andrii Titov
- The Journal of chemical physics
- 2017

The itinerant oscillator model describing rotation of a dipole about a fixed axis inside a cage formed by its surrounding polar molecules is revisited in the context of modeling the dielectric… (More)

- William T. Coffey, Yuri P Kalmykov, S V Titov, Jagdish K Vij
- Physical review. E, Statistical, nonlinear, and…
- 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… (More)

- Yuri P Kalmykov, Serguey V. Titov, William T. Coffey
- The Journal of chemical physics
- 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… (More)

Yuri P. Kalmykov,1 William T. Coffey,2 Unai Atxitia,3 Oksana Chubykalo-Fesenko,3 Pierre-Michel Déjardin,1 and Roy W. Chantrell4 1Laboratoire de Mathématiques, Physique et Systèmes, Université de… (More)

- Yuri P Kalmykov, Serguey V. Titov, William T. Coffey
- Journal of physics. Condensed matter : an…
- 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… (More)

- William T. Coffey, Yuri P Kalmykov, S V Titov
- The Journal of chemical 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… (More)

- William T. Coffey, Yuri P Kalmykov, Serguey V. Titov
- The Journal of chemical physics
- 2007

Quantum effects in the Brownian motion of a particle in the symmetric double well potential V(x)=ax(2)2+bx(4)4 are treated using the semiclassical master equation for the time evolution of the Wigner… (More)

- Yuri P Kalmykov, William T. Coffey, S V Titov
- Physical review. E, Statistical, nonlinear, and…
- 2006

The anomalous translational diffusion including inertial effects of nonlinear Brownian oscillators in a double well potential V(x)=ax{2}/2+bx{4}/4 is considered. An exact solution of the fractional… (More)