Center for Stochastic Processes in Science and Engineering (CSPISE)
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Transmutation of the vicinal surface exponent due to gravity
(American Physical Society, 1988-04)Near the edge of a facet, vicinal surfaces curve away from the plane with exponent (3/2. With gravity normal to the facet the exponent may change to 3. Generally, there will be a crossover from 3 to (3/2 as the facet edge ... -
t-J model studied by the power Lanczos method
(American Physical Society, 1995-03)The initial trial wave function used in a simple ground-state projection method, the power method, is systematically improved by using Lanczos algorithm. Much faster convergence to the ground state achieved by using these ... -
Spin-charge separation in the two-dimensional Hubbard and t-J models at low electronic density
(American Physical Society, 1994-07)The spin- and density-correlation functions of the two-dimensional Hubbard model at low electronic density [n] are calculated in the ground state by using the power method, and at finite temperatures by using the quantum ... -
Roughness, spatial, and temporal correlations of an interface in a driven nonequilibrium lattice gas
(American Physical Society, 1989-05)The interface of a stochastic Ising lattice gas driven into a nonequilibrium steady state by a constant, uniform electric field E parallel to the interface is studied by extensive Monte Carlo simulation in two dimensions. ... -
New phase in the one-dimensional t-J model
(American Physical Society, 1993-05)A new phase of a gas of pairs of electrons bounded in a singlet state is found in the one-dimensional t -J model for J > 2t and the density of electrons less than 0.2. This phase was conjectured in the study of the ... -
Effects of gravity on equilibrium crystal shapes: Droplets hung on a wall
(American Physical Society, 1987-04)General properties of equilibrium crystal shapes pinned on a vertical wall and subject to gravity are sought. For two-dimensional crystals, or three-dimensional ones with axial symmetry held in suitable geometries, we are ... -
Bistability in an Ising model with non-Hamiltonian dynamics
(American Physical Society, 1992-03)We investigate the phenomenon of magnetization bistability in a two-dimensional Ising model with a non-Hamiltonian Glauber dynamics by means of Monte Carlo simulations. This effect has previously been observed in the Toom ... -
Finger formation in a driven diffusive system
(American Physical Society, 1991-05)A driven diffusive lattice gas is studied in a rectangular geometry: particles are fed in at one side and extracted at the other, after being swept through the system by a uniform driving field. Being periodic in the ... -
Equilibrium budding and vesiculation in the curvature model of fluid lipid vesicles
(American Physical Society, 1991-06)According to a model introduced by Helfrich [Z. Naturforsch. 28c, 693 (1973)], the shape of a closed lipid vesicle is determined by minimization of the total bending energy at fixed surface area and enclosed volume. We ... -
Estimate Of The Incoherent-Scattering Contribution To Lidar Backscatter From Clouds
(Optical Society of America, 1999-09-01)Lidar backscatter from clouds in the Delft University of Technology experiment is complicated by the fact that the transmitter has a narrow beam width, whereas the receiver has a much wider one. The issue here is whether ... -
Effects of receptor clustering on ligand dissociation kinetics: Theory and simulations
(Cell Press, 2005-12-01)Receptor-ligand binding is a critical first step in signal transduction and the duration of the interaction can impact signal generation. In mammalian cells, clustering of receptors may be facilitated by heterogeneous zones ... -
Position and length operators in a theory with minimal length
(AIP Publishing, 2007-05)Relations between the notions of fundamental and minimal lengths, and duality, in a system with minimal length uncertainty relations are examined. Self-adjoint versions of operators relevant to the problem, and their ... -
Bound states of hydrogen atom in a theory with minimal length uncertainty relations
(AIP Publishing, 2007-05)The following properties of bound states of hydrogen atom in a theory with noncommuting position operators are investigated: their number, multiplicities, accidental degeneracy, localization, and dependence on the values ... -
Field-induced vacancy localization in a driven lattice gas: Scaling of steady states
(American Physical Society, 2000-01)With the help of Monte Carlo simulations and a mean-field theory, we investigate the ordered steady-state structures resulting from the motion of a single vacancy on a periodic lattice which is filled with two species of ... -
Stationary correlations for a far-from-equilibrium spin chain
(American Physical Society, 2002-10)A kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature T(e) (T(o)). Detailed balance is violated so that ... -
Strongly anisotropic roughness in surfaces driven by an oblique particle flux
(American Physical Society, 2006-05)Using field theoretic renormalization, an MBE-type growth process with an obliquely incident influx of atoms is examined. The projection of the beam on the substrate plane selects a "parallel" direction, with rotational ... -
Viability of competing field theories for the driven lattice gas
(American Physical Society, 2000-05)It has recently been suggested that the driven lattice gas should be described by an alternate held theory in the limit of infinite drive. We review the original and the alternate field theory, invoking several well-documented ... -
Driven diffusive systems: How steady states depend on dynamics
(American Physical Society, 2004-06)In contrast to equilibrium systems, nonequilibrium steady states depend explicitly on the underlying dynamics. Using Monte Carlo simulations with Metropolis, Glauber, and heat bath rates, we illustrate this expectation for ... -
Steady states of a nonequilibrium lattice gas
(American Physical Society, 2005-09)We present a Monte Carlo study of a lattice gas driven out of equilibrium by a local hopping bias. Sites can be empty or occupied by one of two types of particles, which are distinguished by their response to the hopping ... -
Exact dynamics of a reaction-diffusion model with spatially alternating rates
(American Physical Society, 2005-05)We present the exact solution for the full dynamics of a nonequilibrium spin chain and its dual reaction-diffusion model, for arbitrary initial conditions. The spin chain is driven out of equilibrium by coupling alternating ...
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