PB. Statistical and Nonlinear Physics II
- Uwe TÄUBER (Virginia Tech)
183. Effect of Diffusion on Size Distribution Dynamics of Desorption in KMC Simulations of a Lattice-Gas Model of Pulsed Electrodeposition
Tjipto Juwono (Florida State University)
We have studied the effect of diffusion during the desorption phase in pulsed electrodeposition in a square lattice-gas model using Kinetic Monte Carlo simulations. The effect of diffusion on correlation length and size distribution during the desorption were studied. During the process, the correlation length increased up to a maximum and then decreased. We found that diffusion increase...
184. Effect of the size distributions of magnetic nanoparticles on metastability across dynamic phase boundary
Yoh Yamamoto (Virginia Tech)
Recent experiments showed that magnetic nanoparticles have distributions of sizes and shapes, and that the distributions greatly influence static and dynamic properties of the nanoparticles. Therefore, it is critical to understand their properties as functions of the distributions. Previously, we studied an effect of particle size distributions on metastability in magnetization relaxation,...
Ms Linjun Li (Virginia Tech)
The equilibrium phase diagram of the two-dimensional Ising model in contact with a single heat bath is well understood. We here study the properties of the two-dimensional Ising model with conserved dynamics where the two halves of the system are in contact with different heat baths. Using Monte Carlo simulations, we identify three different phases for this non-equilibrium system, as a...
Ulrich Dobramysl (Virginia Tech)
The characterization of type-II superconducting materials and their technological applications in external magnetic fields require a thorough understanding of the stationary and dynamical properties of vortex matter. The competition of repulsive interactions and attractive material defects renders the physics of externally driven magnetic flux lines very rich. We study the non-equilibrium...
Ronald Mickens (Clark Atlanta University)
The Abel equation, in canonical form, is y' = sin t - y^3 (*) and corresponds to the singular (epsilon -> 0) limit of the nonlinear, forced oscillator epsilon y" + y' + y^3 = sin t, epsilon -> 0. (**) Equation (*) has the property that it has a unique periodic solution defined on (-infty, infty). Further, as t increases, all solutions are attracted into the strip |y| < 1 and any two different...
Dr 'Kale Oyedeji (Morehouse College)
The Burger Partial Differential Equation (PDE) provides a nonlinear model that incorporates several of the important properties of fluid behavior. However, no general solution to it is known for given arbitrary initial and/or boundary conditions. We propose a "new" method for determining approximations for the solutions. Our method combines the separation of variables technique, combined with...
Daniel Linford (Virginia Tech)
It is known that in one-dimensional equilibrium systems with short range interactions a phase transition cannot exist at finite, non-zero temperatures. However, far from equilibrium, one-dimensional systems with local interactions can exhibit a phase transition. The ABC model, a three species model defined on a chain characterized by non-symmetric exchanges between particles, is known to...
Hyunju Kim (Virginia Tech)
Network representation and modeling has been one of the most comprehensive ways to study many complex systems. However, the network describing the system frequently has to be built from incomplete connectivity data, a typical case being degree-based graph construction, when only the sequence of node degrees is available. In this presentation I will introduce problems and results related to the...
Wenjia Liu (Virginia Tech)
The characteristics of single networks, whether physical, biological or social, are well known. However, many of these networks function not only in isolation, but also coupled to each other. So far, little is known about such "interacting networks." Here, we consider two coupled systems, modeling social networks with a preferred number of friends. We first report on the (statistical)...
Wei Song (University of North Carolina at Charlotte)
A new image charge solvation model has recently been developed, which consists of a spherical cavity of explicit solvent embedded in a continuum dielectric medium. Inside the cavity, the dielectric constant is 1 and outside the cavity is set to 80. Although the discontinuity from 1 to 80 at the cavity interface creates large artifacts near the boundary, MD simulation using this model yields...
Yifei Shi (University of Virginia)
We study the generalized XY model in two dimension, which has a term proportional to cos(2 theta) in addition to the normal XY Hamiltonian. This corresponds to having half vortices connected by solitons, as well as integer vortices. From both renormalization group analysis and Monte Carlo simulation using the worm algorithm, we find that the phase diagram includes Kosterlitz-Thouless...