6,039 research outputs found
Vortex Dynamics within the BCS Theory
We outline a conventional path integral derivation of the transverse force
and the friction for a vortex in a superconductor based on the BCS theory. The
derivation is valid in both clean and dirty limits at both zero and finite
temperatures. The transverse force is found to be precisely as what has been
obtained by Ao and Thouless using the Berry's phase method. The friction is
essentially the same as the Bardeen and Stephen's result.
Errors in some previous representive microscopic derivations are discussed.Comment: Revtex. the Invited Talk in M2S-HTSC-V conference in Beijing, Feb.
28-March 4, 1997. to appear in Physica
Effects of Geometric Phases in Josephson Junction Arrays
We show that the en route vortex velocity dependent part of the Magnus force
in a Josephson junction array is effectively zero, and predict zero Hall effect
in the classical limit. However, geometric phases due to the finite superfluid
density at superconductor grains have a profound influence on the quantum
dynamics of vortices. Subsequently we find rich and complex Hall behaviors
analogous to the Thouless-Kohmoto-Nightingale-den Nijs effect in the quantum
regime.Comment: Latex, 11 pages, appeared in Phys. Rev. Lett. v.77, 562 (1996) with
minor change
Nonlinear Schr\"odinger Equation for Superconductors
Using the Hartree-Fock-Bogoliubov factorization of the density matrix and the
Born-Oppenheimer approximation we show that the motion of the condensate
satisfies a nonlinear Schr\"odinger equation in the zero temperature limit. The
Galilean invariance of the equation is explicitly manifested. {}From this
equation some general properties of a superconductor, such as Josephson
effects, the Magnus force, and the Bogoliubov-Anderson mode can be obtained
readily.Comment: Latex, 12 page
Calculating Biological Behaviors of Epigenetic States in Phage lambda Life Cycle
Gene regulatory network of lambda phage is one the best studied model systems
in molecular biology. More 50 years of experimental study has provided a
tremendous amount of data at all levels: physics, chemistry, DNA, protein, and
function. However, its stability and robustness for both wild type and mutants
has been a notorious theoretical/mathematical problem. In this paper we report
our successful calculation on the properties of this gene regulatory network.
We believe it is of its first kind. Our success is of course built upon
numerous previous theoretical attempts, but following 3 features make our
modeling uniqu:
1) A new modeling method particular suitable for stability and robustness
study;
2) Paying a close attention to the well-known difference of in vivo and in
vitro;
3) Allowing more important role for noise and stochastic effect to play.
The last two points have been discussed by two of us (Ao and Yin,
cond-mat/0307747), which we believe would be enough to make some of previous
theoretical attempts successful, too. We hope the present work would stimulate
a further interest in the emerging field of gene regulatory network.Comment: 16 pages, 3 figures, 1 tabl
- …