We consider a symmetric two-junction superconducting quantum interference device,
whose junctions are assumed to be overdamped, and consider the sin Fourier series
for their current–phase relations. We take into account the effects of thermal
fluctuations by forming a two-dimensional Fokker–Planck equation for the distribution
function. We judge a series expansion of first order with respect to the components
of the reduced inductance for the distribution function and obtain relations for
current–voltage and the circulating current. We consider the measured resistance of the
superconducting nanowire quantum interference device with mesoscopic leads
that Hopkins et al reported in Hopkins et al (2005 Science 308 1762) and Pekker
et al (2005 Phys. Rev. B 72 104517), by defining the loop inductance, and by
considering appropriate relations for the resistance of nanowires. In fact, we extend
the Chesca formulation (Chesca 1998 J. Low Temp. Phys. 112 165) and give a
unification formulation for symmetric nanowire two-junction devices, low and high
Tc
DC superconducting quantum interference devices (SQUIDs) in restricted conditions.
The components of the diffusive thermal conductivity tensor of superfluid neutron stars are calculated by using anisotropic energy gap for 3p2 pairing and approximation collision integrals at temperatures where [Formula: see text]. The contribution from neutron–neutron collisions is taken into account. Nonrelativistic effects for pairing will be studied. A comparison with the corresponding relativistic case is also made.
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