322 research outputs found
Keldysh-Rutherford model for attoclock
We demonstrate a clear similarity between attoclock offset angles and
Rutherford scattering angles taking the Keldysh tunnelling width as the impact
parameter and the vector potential of the driving pulse as the asymptotic
velocity. This simple model is tested against the solution of the
time-dependent Schr\"odinger equation using hydrogenic and screened (Yukawa)
potentials of equal binding energy. We observe a smooth transition from a
hydrogenic to 'hard-zero' intensity dependence of the offset angle with
variation of the Yukawa screening parameter. Additionally we make comparison
with the attoclock offset angles for various noble gases obtained with the
classical-trajectory Monte Carlo method. In all cases we find a close
correspondence between the model predictions and numerical calculations. This
suggests a largely Coulombic origin of the attoclock offset angle and casts
further doubt on its interpretation in terms of a finite tunnelling time
Numerical attoclock on atomic and molecular hydrogen
Numerical attoclock is a theoretical model of attosecond angular streaking
driven by a very short, nearly a single oscillation, circularly polarized laser
pulse. The reading of such an attoclock is readily obtained from a numerical
solution of the time-dependent Schr\"odinger equation as well as a
semi-classical trajectory simulation. By making comparison of the two
approaches, we highlight the essential physics behind the attoclock
measurements. In addition, we analyze the predictions of the Keldysh-Rutherford
model of the attoclock [Phys. Rev. Lett. 121, 123201 (2018)]. In molecular
hydrogen, we highlight a strong dependence of the width of the attoclock
angular peak on the molecular orientation and attribute it to the two-center
electron interference. This effect is further exemplified in the weakly bound
neon dimer.Comment: 8 pages, 7 figure
Ultrametric probe of the spin-glass state in a field
We study the ultrametric structure of phase space of one-dimensional Ising
spin glasses with random power-law interaction in an external random field.
Although in zero field the model in both the mean-field and non-mean-field
universality classes shows an ultrametric signature [Phys. Rev. Lett. 102,
037207 (2009)], when a field is applied ultrametricity seems only present in
the mean-field regime. The results for the non-mean field case in an external
field agree with data for spin glasses studied within the Migdal-Kadanoff
approximation. Our results therefore suggest that the spin-glass state might be
fragile to external fields below the upper critical dimension.Comment: 5 pages, 4 figures, 1 tabl
Ground-State and Domain-Wall Energies in the Spin-Glass Region of the 2D Random-Bond Ising Model
The statistics of the ground-state and domain-wall energies for the
two-dimensional random-bond Ising model on square lattices with independent,
identically distributed bonds of probability of and of
are studied. We are able to consider large samples of up to
spins by using sophisticated matching algorithms. We study
systems, but we also consider samples, for different aspect ratios
. We find that the scaling behavior of the ground-state energy and
its sample-to-sample fluctuations inside the spin-glass region () are characterized by simple scaling functions. In particular, the
fluctuations exhibit a cusp-like singularity at . Inside the spin-glass
region the average domain-wall energy converges to a finite nonzero value as
the sample size becomes infinite, holding fixed. Here, large finite-size
effects are visible, which can be explained for all by a single exponent
, provided higher-order corrections to scaling are included.
Finally, we confirm the validity of aspect-ratio scaling for : the
distribution of the domain-wall energies converges to a Gaussian for ,
although the domain walls of neighboring subsystems of size are
not independent.Comment: 11 pages with 15 figures, extensively revise
Hydrodynamic Spinodal Decomposition: Growth Kinetics and Scaling Functions
We examine the effects of hydrodynamics on the late stage kinetics in
spinodal decomposition. From computer simulations of a lattice Boltzmann scheme
we observe, for critical quenches, that single phase domains grow
asymptotically like , with in two dimensions
and in three dimensions, both in excellent agreement with
theoretical predictions.Comment: 12 pages, latex, Physical Review B Rapid Communication (in press
Breakdown of scale-invariance in the coarsening of phase-separating binary fluids
We present evidence, based on lattice Boltzmann simulations, to show that the
coarsening of the domains in phase separating binary fluids is not a
scale-invariant process. Moreover we emphasise that the pathway by which phase
separation occurs depends strongly on the relation between diffusive and
hydrodynamic time scales.Comment: 4 pages, Latex, 4 eps Figures included. (higher quality Figures can
be obtained from [email protected]
Calculation of ground states of four-dimensional +or- J Ising spin glasses
Ground states of four-dimensional (d=4) EA Ising spin glasses are calculated
for sizes up to 7x7x7x7 using a combination of a genetic algorithm and
cluster-exact approximation. The ground-state energy of the infinite system is
extrapolated as e_0=-2.095(1). The ground-state stiffness (or domain wall)
energy D is calculated. A D~L^{\Theta} behavior with \Theta=0.65(4) is found
which confirms that the d=4 model has an equilibrium spin-glass-paramagnet
transition for non-zero T_c.Comment: 5 pages, 3 figures, 31 references, revtex; update of reference
Stability of a Nonequilibrium Interface in a Driven Phase Segregating System
We investigate the dynamics of a nonequilibrium interface between coexisting
phases in a system described by a Cahn-Hilliard equation with an additional
driving term. By means of a matched asymptotic expansion we derive equations
for the interface motion. A linear stability analysis of these equations
results in a condition for the stability of a flat interface. We find that the
stability properties of a flat interface depend on the structure of the driving
term in the original equation.Comment: 14 pages Latex, 1 postscript-figur
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