10,164 research outputs found
Synchronized shocks in an inhomogeneous exclusion process
We study an exclusion process with 4 segments, which was recently introduced
by T Banerjee, N Sarkar and A Basu [J. Stat. Mech. (2015) P01024]. The segments
have hopping rates 1, r(<1), 1 and r, respectively. In a certain parameter
region, two shocks appear, which are not static but synchronized. We explore
dynamical properties of each shock and correlation of shocks, by means of the
so-called second-class particle. The mean-squared displacement of shocks has
three diffusive regimes, and the asymptotic diffusion coefficient is different
from the known formula. In some time interval, it also exhibits sub-diffusion,
being proportional to t^{1/2} . Furthermore we introduce a correlation function
and a crossover time, in order to quantitatively characterize the
synchronization. We numerically estimate the dynamical exponent for the
crossover time. We also revisit the 2-segment case and the open boundary
condition for comparison.Comment: 9 pages, 6 figures. v2: +3 reference
Classcial Bifurcation and Enhancement of Quantum Shells --- Systematic Analysis of Reflection-Asymmetric Deformed Oscillator ---
Correspondence between classical periodic orbits and quantum shell structure
is investigated for a reflection-asymmetric deformed oscillator model as a
function of quadrupole and octupole deformation parameters. Periodic orbit
theory reveals several aspects of quantum level structure for this
non-integrable system. Good classical- quantum correspondence is obtained in
the Fourier transform of the quantum level density, and importance of periodic
orbit bifurcation is demonstrated. Systematic survey of the local minima of
shell energies in the two-dimensional deformation parameter space shows that
prominent shell structures do emerge at finite values of the octupole
parameter. Correspondences between the regions exhibiting strong shell effects
and the classical bifurcation lines are investigated, and significance of these
bifurcations is indicated.Comment: 17 pages, REVTeX. 23 PostScript figures (not appended due to
excessive size, 3,860kb in total) are avalilable from K.A.
([email protected]) upon reques
Supershell Effect and Stability of Classical Periodic Orbits in Reflection-Asymmetric Superdeformed Oscillator
A semiclassical analysis is made of the origin of an undulating pattern in
the smoothed level density for a reflection-asymmetric superdeformed oscillator
potential. It is suggested that, when the octupole-type deformation increases,
an interference effect between two families of periodic orbit with the ratio of
periods approximately 2:1 becomes stronger and thus a pronounced ``supershell''
structure appears.Comment: 8 pages, PHYZZX, figures are not included, KUNS119
Phase coexistence phenomena in an extreme case of the misanthrope process with open boundaries
The misanthrope process is a class of stochastic interacting particle
systems, generalizing the simple exclusion process. It allows each site of the
lattice to accommodate more than one particle. We consider a special case of
the one dimensional misanthrope process whose probability distribution is
completely equivalent to the ordinary simple exclusion process under the
periodic boundary condition. By imposing open boundaries, high- and low-density
domains can coexist in the system, which we investigate by Monte Carlo
simulations. We examine finite-size corrections of density profiles and
correlation functions, when the jump rule for particles is symmetric. Moreover,
we study properties of delocalized and localized shocks in the case of the
totally asymmetric jump rule. The localized shock slowly moves to its stable
position in the bulk.Comment: 8 pages, 7 figures. v2: minor changes. v3: changed the structure of
the work, added 7 references, replaced some figure
- …