432 research outputs found
Shell Model Monte Carlo method in the -formalism and applications to the Zr and Mo isotopes
We report on the development of a new shell-model Monte Carlo algorithm which
uses the proton-neutron formalism. Shell model Monte Carlo methods, within the
isospin formulation, have been successfully used in large-scale shell-model
calculations. Motivation for this work is to extend the feasibility of these
methods to shell-model studies involving non-identical proton and neutron
valence spaces. We show the viability of the new approach with some test
results. Finally, we use a realistic nucleon-nucleon interaction in the model
space described by (1p_1/2,0g_9/2) proton and
(1d_5/2,2s_1/2,1d_3/2,0g_7/2,0h_11/2) neutron orbitals above the Sr-88 core to
calculate ground-state energies, binding energies, B(E2) strengths, and to
study pairing properties of the even-even 90-104 Zr and 92-106 Mo isotope
chains
Brownian rectifiers in the presence of temporally asymmetric unbiased forces
The efficiency of energy transduction in a temporally asymmetric rocked
ratchet is studied. Time asymmetry favours current in one direction and
suppresses it in the opposite direction due to which large efficiency ~ 50% is
readily obtained. The spatial asymmetry in the potential together with system
inhomogeneity may help in further enhancing the efficiency. Fine tuning of
system parameters considered leads to multiple current reversals even in the
adiabatic regime
Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
We study the fixed-point structure of four-fermion interactions in two-flavor
QCD with Nc colors close to the finite-temperature phase boundary. In
particular, we analyze how the fixed-point structure of four-fermion
interactions is related to the confining dynamics in the gauge sector. We show
that there exists indeed a mechanism which dynamically locks the chiral phase
transition to the deconfinement phase transition. This mechanism allows us to
determine a window for the values of physical observables in which the two
phase transitions lie close to each other.Comment: 14 pages, 5 figure
Zone Determinant Expansions for Nuclear Lattice Simulations
We introduce a new approximation to nucleon matrix determinants that is
physically motivated by chiral effective theory. The method involves breaking
the lattice into spatial zones and expanding the determinant in powers of the
boundary hopping parameter.Comment: 20 pages, 6 figures, revtex4 (version to appear in PRC
Inequalities for low-energy symmetric nuclear matter
Using effective field theory we prove inequalities for the correlations of
two-nucleon operators in low-energy symmetric nuclear matter. For physical
values of operator coefficients in the effective Lagrangian, the S = 1, I = 0
channel correlations must have the lowest energy and longest correlation length
in the two-nucleon sector. This result is valid at nonzero density and
temperature.Comment: 9 page
Current control in a tilted washboard potential via time-delayed feedback
We consider motion of an overdamped Brownian particle in a washboard
potential exerted to a static tilting force. The bias yields directed net
particle motion, i.e. a current. It is demonstrated that with an additional
time-delayed feedback term the particle current can be reversed against the
direction of the bias. The control function induces a ratchet-like effect that
hinders further current reversals and thus the particle moves against the
direction of the static bias. Furthermore, varying the delay time allows also
to continuously depreciate and even stop the transport in the washboard
potential. We identify and characterize the underlying mechanism which applies
to current control in a wide temperature range
Spin distribution of nuclear levels using static path approximation with random-phase approximation
We present a thermal and quantum-mechanical treatment of nuclear rotation
using the formalism of static path approximation (SPA) plus random-phase
approximation (RPA). Naive perturbation theory fails because of the presence of
zero-frequency modes due to dynamical symmetry breaking. Such modes lead to
infrared divergences. We show that composite zero-frequency excitations are
properly treated within the collective coordinate method. The resulting
perturbation theory is free from infrared divergences. Without the assumption
of individual random spin vectors, we derive microscopically the spin
distribution of the level density. The moment of inertia is thereby related to
the spin-cutoff parameter in the usual way. Explicit calculations are performed
for 56^Fe; various thermal properties are discussed. In particular, we
demonstrate that the increase of the moment of inertia with increasing
temperature is correlated with the suppression of pairing correlations.Comment: 12 pages, 8 figures, accepted for publication in Physical Review
From extended phase space dynamics to fluid theory
We derive a fluid theory for spin-1/2 particles starting from an extended
kinetic model based on a spin-projected density matrix formalism. The evolution
equation for the spin density is found to contain a pressure-like term. We give
an example where this term is important by looking at a linear mode previously
found in a spin kinetic model.Comment: 4 page
Pressure-induced diamond to beta-tin transition in bulk silicon: a near-exact quantum Monte Carlo study
The pressure-induced structural phase transition from diamond to beta-tin in
silicon is an excellent test for theoretical total energy methods. The
transition pressure provides a sensitive measure of small relative energy
changes between the two phases (one a semiconductor and the other a semimetal).
Experimentally, the transition pressure is well characterized.
Density-functional results have been unsatisfactory. Even the generally much
more accurate diffusion Monte Carlo method has shown a noticeable fixed-node
error. We use the recently developed phaseless auxiliary-field quantum Monte
Carlo (AFQMC) method to calculate the relative energy differences in the two
phases. In this method, all but the error due to the phaseless constraint can
be controlled systematically and driven to zero. In both structural phases we
were able to benchmark the error of the phaseless constraint by carrying out
exact unconstrained AFQMC calculations for small supercells. Comparison between
the two shows that the systematic error in the absolute total energies due to
the phaseless constraint is well within 0.5 mHa/atom. Consistent with these
internal benchmarks, the transition pressure obtained by the phaseless AFQMC
from large supercells is in very good agreement with experiment.Comment: 9 pages, 5 figure
Current and universal scaling in anomalous transport
Anomalous transport in tilted periodic potentials is investigated within the
framework of the fractional Fokker-Planck dynamics and the underlying
continuous time random walk. The analytical solution for the stationary,
anomalous current is obtained in closed form. We derive a universal scaling law
for anomalous diffusion occurring in tilted periodic potentials. This scaling
relation is corroborated with precise numerical studies covering wide parameter
regimes and different shapes for the periodic potential, being either symmetric
or ratchet-like ones
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