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- Hai Qian, Gene F. Mazenko
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

We have studied the ordering kinetics of a two-dimensional anisotropic Swift-Hohenberg (SH) model numerically. The defect structure for this model is simpler than for the isotropic SH model. One finds only dislocations in the aligned ordering striped system. The motion of these point defects is strongly influenced by the anisotropic nature of the system. Weâ€¦ (More)

- Scott A. Hill, Gene F. Mazenko
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

We examine the hydrodynamics of a granular gas using numerical simulation. We demonstrate the appearance of shearing and clustering instabilities predicted by linear stability analysis, and show that their appearance is directly related to the inelasticity of collisions in the material. We discuss the rate at which these instabilities arise and the mannerâ€¦ (More)

- Hai Qian, Gene F. Mazenko
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

The growth of striped order resulting from a quench of the two-dimensional Swift-Hohenberg model is studied in the regime of a small control parameter and quenches to zero temperature. We introduce an algorithm for finding and identifying the disordering defects (dislocations, disclinations, and grain boundaries) at a given time. We can track theirâ€¦ (More)

- Gene F. Mazenko
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2004

We discuss the behavior of response functions in phase-ordering kinetics within the perturbation theory approach developed earlier. At zeroth order the results agree with previous gaussian theory calculations. At second order the nonequilibrium exponents lambda and lambda(R) are changed but remain equal.

- Hai Qian, Gene F. Mazenko
- 2004

We study the motion of vortices in the conserved and non-conserved phase-ordering models. We give an analytical method for computing the speed and position distribution functions for pairs of annihilating point vortices based on heuristic scaling arguments. In the non-conserved case this method produces a speed distribution function consistent with previousâ€¦ (More)

- Gene F. Mazenko
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

The statistical correlations between defects in the two-dimensional complex Ginzburg-Landau model are studied in the defect-coarsening regime. In particular the defect-velocity probability distribution is determined and has the same high velocity tail found for the purely dissipative time-dependent Ginzburg-Landau (TDGL) model. The spiral arms of theâ€¦ (More)

- Shankar P. Das, Gene F. Mazenko
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

Despite its appeal, real and simulated glass forming systems do not undergo an ergodic-nonergodic (ENE) transition. We reconsider whether the fluctuating nonlinear hydrodynamics (FNH) model for this system, introduced by us in 1986, supports an ENE transition. Using nonperturbative arguments, with no reference to the hydrodynamic regime, we show that theâ€¦ (More)

- Gene F. Mazenko
- 1996

An explicit expression for the vortex velocity field as a function of the order parameter field is derived for the case of point defects in the O(n) symmetric time-dependent Ginzburg-Landau model. This expression is used to find the vortex velocity probability distribution in the gaussian closure approximation in the case of phase ordering kinetics for aâ€¦ (More)

- Gene F. Mazenko
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

We use the recently introduced theory for the kinetics of systems of classical particles to investigate systems driven by Smoluchowski dynamics. We investigate the existence of ergodic-nonergodic (ENE) transitions near the liquid-glass transition. We develop a self-consistent perturbation theory in terms of an effective two-body potential and work to secondâ€¦ (More)

- Gene F. Mazenko
- 2009

Our studies of thermally excited surface waves on liquids by means of light scattering, as described in earlier reports,l'2 have been extended to the problem of surface waves on the interface between two liquids. As a specific example, we have considered the methanol-hexane interface. A laser beam is scattered off the interface, and the light scattered in aâ€¦ (More)