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SASSYS analysis of degraded shut-down heat-removal performance in LMFBRs
The SASSYS LMFBR systems analysis code was developed to analyze the consequences of failures in the hsutdown heat removal system and to determine whether this system can perform its mission adequately even with some of its components inoperable. SASSYS provides a detailed thermal-hydraulic analysis of the reactor core, inlet and outlet coolant plenums, primary and intermediate heat transport systems, steam generators, and emergency heat removal systems for any LMFBR design. One key feature of the code is the sodium boiling model, which can be especially significant in cases where pump power is lost and normal natural circulation heads are insufficient to prevent temporary flow stagnation in part or all of the core. In such cases, boiling in part of the core should provide the driving head to re-establish flow, while at the same time removing enough heat to prevent melting of fuel and clad
Mixing of superconducting state with s-wave states for different filling and temperature
We study the order parameter for mixed-symmetry states involving a major
state and various minor s-wave states (, , and
) for different filling and temperature for mixing angles 0 and
. We employ a two-dimensional tight-binding model incorporating
second-neighbor hopping for tetragonal and orthorhombic lattice. There is
mixing for the symmetric state both on tetragonal and orthorhombic lattice.
The state mixes with the state only on orthorhombic
lattice. The state never mixes with the state. The
temperature dependence of the order parameters is also studied.Comment: 10 pages, 9 figures, accepted in Physica
Simple Model for the Variation of Superfluid Density with Zn Concentration in YBCO
We describe a simple model for calculating the zero-temperature superfluid
density of Zn-doped YBa_2Cu_3O_{7-\delta} as a function of the fraction x of
in-plane Cu atoms which are replaced by Zn. The basis of the calculation is a
``Swiss cheese'' picture of a single CuO_2 layer, in which a substitutional Zn
impurity creates a normal region of area around it as
originally suggested by Nachumi et al. Here is the zero-temperature
in-plane coherence length at x = 0. We use this picture to calculate the
variation of the in-plane superfluid density with x at temperature T = 0, using
both a numerical approach and an analytical approximation. For ,
if we use the value = 18.3 angstrom, we find that the in-plane
superfluid decreases with increasing x and vanishes near in the
analytical approximation, and near in the numerical approach.
is quite sensitive to , whose value is not widely agreed upon.
The model also predicts a peak in the real part of the conductivity,
Re, at concentrations , and low frequencies,
and a variation of critical current density with x of the form near percolation, where is the in-plane
superfluid density.Comment: 19 pages including 6 figures, submitted to Physica
Microwave conductivity of YBaCuO including inelastic scattering
The fluctuation spectrum responsible for the inelastic scattering in
YBaCuO which was recently determined from consideration of the
in-plane optical conductivity in the infrared, is used to calculate the
temperature dependence of the microwave conductivity at several measured
frequencies. Reasonable overall agreement can only be achieved if, in addition,
some impurity scattering is included within a model potential intermediate
between weak (Born) and strong (unitary) limit.Comment: 15 pages, 5 figures accepted for publication in Phys. Rev.
On the low temperature properties and specific anisotropy of pure anisotropically paired superconductors
Dependences of low temperature behavior and anisotropy of various physical
quantities for pure unconventional superconductors upon a particular form of
momentum direction dependence for the superconducting order parameter (within
the framework of the same symmetry type of superconducting pairing) are
considered. A special attention is drawn to the possibility of different
multiplicities of the nodes of the order parameter under their fixed positions
on the Fermi surface, which are governed by symmetry. The problem of an
unambiguous identification of a type of superconducting pairing on the basis of
corresponding experimental results is discussed. Quasiparticle density of
states at low energy for both homogeneous and mixed states, the low temperature
dependences of the specific heat, penetration depth and thermal conductivity,
the I-V curves of SS and NS tunnel junctions at low voltages are examined. A
specific anisotropy of the boundary conditions for unconventional
superconducting order parameter near for the case of specular reflection
from the boundary is also investigated.Comment: 20 page
Fermi-Liquid Interactions in d-Wave Superconductor
This article develops a quantitative quasiparticle model of the
low-temperature properties of d-wave superconductors which incorporates both
Fermi-liquid effects and band-structure effects. The Fermi-liquid interaction
effects are found to be classifiable into strong and negligible renormalizaton
effects, for symmetric and antisymmetric combinations of the energies of
and quasiparticles, respectively. A particularly
important conclusion is that the leading clean-limit temperature-dependent
correction to the superfluid density is not renormalized by Fermi-liquid
interactions, but is subject to a Fermi velocity (or mass) renormalization
effect. This leads to difficulties in accounting for the penetration depth
measurements with physically acceptable parameters, and hence reopens the
question of the quantitative validity of the quasiparticle picture.Comment: 4 page
Phase transition from a to superconductor
We study the phase transition from a to
superconductor using the tight-binding model of two-dimensional cuprates. As
the temperature is lowered past the critical temperature , first a superconducting phase is created. With further reduction of
temperature, the phase is created at temperature
. We study the temperature dependencies of the order parameter,
specific heat and spin susceptibility in these mixed-angular-momentum states on
square lattice and on a lattice with orthorhombic distortion. The
above-mentioned phase transitions are identified by two jumps in specific heat
at and .Comment: Latex file, 5 pages, 6 postscript figures, Accepted in Physical
Review
Critical temperature and superfluid density suppression in disordered high- cuprate superconductors
We argue that the standard Abrikosov-Gorkov (AG) type theory of in
disordered -wave superconductors breaks down in short coherence length
high- cuprates. Numerical calculations within the Bogoliubov-de Gennes
formalism demonstrate that the correct description of such systems must allow
for the spatial variation of the order parameter, which is strongly suppressed
in the vicinity of impurities but mostly unaffected elsewhere. Suppression of
as measured with respect to the attendant decrease in the superfluid
density is found to be significantly weaker than that predicted by the AG
theory, in good agreement with experiment.Comment: REVTeX, 4 pages, 3 ps figures included [The version to appear in PRB
Sept. 1. Conclusions of the paper unchanged; several changes in text and
figures for added clarity, discussion of phase fluctuations added.
Distinguishing d-wave from highly anisotropic s-wave superconductors
Systematic impurity doping in the Cu-O plane of the hole-doped cuprate
superconductors may allow one to decide between unconvention al ("d-wave") and
anisotropic conventional ("s-wave") states as possible candidates for the order
parameter in these materials. We show that potential scattering of any strength
always increases the gap minima of such s-wave states, leading to activated
behavior in temperature with characteristic impurity concentration dependence
in observable quantities such as the penetration depth. A magnetic component to
the scattering may destroy the energy gap and give rise to conventional gapless
behavior, or lead to a nonmonotonic dependence of the gap on impurity
concentration. We discuss how experiments constrain this analysis.Comment: 5 page
Free Energy and Magnetic Penetration Depth of a -Wave Superconductor in the Meissner State
We investigate the free energy and the penetration depth of a
quasi-two-dimensional d-wave superconductor in the presence of a weak magnetic
field by taking account of thermal, nonlocal and nonlinear effects. In an
approximation in which the superfluid velocity is assumed to be slowly
varying, the free energy is calculated and compared with available results in
several limiting cases. It is shown that either nonlocal or nonlinear effects
may cut off the linear- dependence of both the free energy and the
penetration depth in all the experimental geometries. At extremely low , the
nonlocal effects will also generically modify the linear dependence of the
penetration depth ("nonlinear Meissner effect") in most experimental
geometries, but for supercurrents oriented along the nodal directions, the
effect may be recovered. We compare our predictions with existing experiments
on the cuprate superconductors.Comment: 18 revtex pages with 4 eps figures, final versio
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