32,583 research outputs found
Semiflexible Chains under Tension
A functional integral formalism is used to derive the extension of a stiff
chain subject to an external force. The force versus extension curves are
calculated using a meanfield approach in which the hard constraint
is replaced by a global constraint where is the
tangent vector describing the chain and is the arc length. The theory
``quantitatively'' reproduces the experimental results for DNA that is subject
to a constant force.
We also treat the problems of a semiflexible chain in a nematic field. In the
limit of weak nematic field strength our treatment reproduces the exact results
for chain expansion parallel to the director. When the strength of nematic
field is large, a situation in which there are two equivalent minima in the
free energy, the intrinsically meanfield approach yields incorrect results for
the dependence of the persistence length on the nematic field.Comment: 14 pages, 1 figure available upon request, submitted to J. Chem. Phy
Neutrino reactions on La and Ta via charged and neutral currents by the Quasi-particle Random Phase Approximation (QRPA)
Cosmological origins of the two heaviest odd-odd nuclei, La and
Ta, are believed to be closely related to the neutrino-process. We
investigate in detail neutrino-induced reactions on the nuclei. Charged current
(CC) reactions, BaLa and HfTa, are calculated by the standard Quasi-particle Random Phase
Approximation (QRPA) with neutron-proton pairing as well as neutron-neutron,
proton-proton pairing correlations. For neutral current (NC) reactions,
La{La} and TaTa, we generate ground and excited states of odd-even target nuclei,
La and Ta, by operating one quasi-particle to even-even nuclei,
Ba and Hf, which are assumed as the BCS ground state. Numerical
results for CC reactions are shown to be consistent with recent semi-empirical
data deduced from the Gamow-Teller strength distributions measured in the
(He, t) reaction. Results for NC reactions are estimated to be smaller by
a factor about 4 5 rather than those by CC reactions. Finally, cross
sections weighted by the incident neutrino flux in the core collapsing
supernova are presented for further applications to the network calculations
for relevant nuclear abundances
Estimates of isospin breaking contributions to baryon masses
We estimate the isospin breaking contributions to the baryon masses which we
analyzed recently using a loop expansion in the heavy baryon approximation to
chiral effective field theory. To one loop, the isospin breaking corrections
come from the effects of the quark mass difference, the Coulomb and
magnetic moment interactions, and effective point interactions attributable to
color-magnetic effects. The addition of the first meson loop corrections
introduces new structure. We estimate the resulting low-energy, long-range
contributions to the mass splittings by regularizing the loop integrals using
connections to dynamical models for finite-size baryons. We find that the
resulting contributions to the isospin breaking corrections are of the right
general size, have the correct sign pattern, and agree with the experimental
values within the margin of error.Comment: 15 pages, 5 figures; changed title and conten
Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction
The electron addition spectrum A^+(k,omega) is obtained analytically for the
one-dimensional (1D) supersymmetric t-J model with 1/r^2 interaction. The
result is obtained first for a small-sized system and its validity is checked
against the numerical calculation. Then the general expression is found which
is valid for arbitrary size of the system. The thermodynamic limit of
A^+(k,omega) has a simple analytic form with contributions from one spinon, one
holon and one antiholon all of which obey fractional statistics. The upper edge
of A^+(k,omega) in the (k,omega) plane includes a delta-function peak which
reduces to that of the single-electron band in the low-density limit.Comment: 5 pages, 1 figure, accepted for publication in Phys. Rev. Let
Finite Size Polyelectrolyte Bundles at Thermodynamic Equilibrium
We present the results of extensive computer simulations performed on
solutions of monodisperse charged rod-like polyelectrolytes in the presence of
trivalent counterions. To overcome energy barriers we used a combination of
parallel tempering and hybrid Monte Carlo techniques. Our results show that for
small values of the electrostatic interaction the solution mostly consists of
dispersed single rods. The potential of mean force between the polyelectrolyte
monomers yields an attractive interaction at short distances. For a range of
larger values of the Bjerrum length, we find finite size polyelectrolyte
bundles at thermodynamic equilibrium. Further increase of the Bjerrum length
eventually leads to phase separation and precipitation. We discuss the origin
of the observed thermodynamic stability of the finite size aggregates
Exact dynamical structure factor of the degenerate Haldane-Shastry model
The dynamical structure factor of the K-component (K = 2,3,4)
spin chain with the 1/r^2 exchange is derived exactly at zero temperature for
arbitrary size of the system. The result is interpreted in terms of a free
quasi-particle picture which is generalization of the spinon picture in the
SU(2) case; the excited states consist of K quasi-particles each of which is
characterized by a set of K-1 quantum numbers. Divergent singularities of
at the spectral edges are derived analytically. The analytic
result is checked numerically for finite systems.Comment: 4 pages, 1 figure, accepted for publication in Phys. Rev. Let
Spin-Charge Separation at Finite Temperature in the Supersymmetric t-J Model with Long-Range Interactions
Thermodynamics is derived rigorously for the 1D supersymmetric {\it t-J}
model and its SU() generalization with inverse-square exchange. The system
at low temperature is described in terms of spinons, antispinons, holons and
antiholons obeying fractional statistics. They are all free and make the spin
susceptibility independent of electron density, and the charge susceptibility
independent of magnetization. Thermal spin excitations responsible for the
entropy of the SU() model are ascribed to free para-fermions of order
.Comment: 10 pages, REVTE
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