25 research outputs found
An open question: Are topological arguments helpful in setting initial conditions for transport problems in condensed matter physics?
The tunneling Hamiltonian is a proven method to treat particle tunneling
between different states represented as wavefunctions in many-body physics. Our
problem is how to apply a wave functional formulation of tunneling Hamiltonians
to a driven sine-Gordon system. We apply a generalization of the tunneling
Hamiltonian to charge density wave (CDW) transport problems in which we
consider tunneling between states that are wavefunctionals of a scalar quantum
field. We present derived I-E curves that match Zenier curves used to fit data
experimentally with wavefunctionals congruent with the false vacuum hypothesis.
THe open question is whether the coefficients picked in both the
wavefunctionals and the magnitude of the coefficents of the driven sine Gordon
physical system should be picked by topological charge arguements that in
principle appear to assign values that have a tie in with the false vacuum
hypothesis first presented by Sidney ColemanComment: 17 pages, 4 figures (1a to 2b) on two pages. Specific emphasis on if
or not topological arguements a la Trodden, Su et al add to formulation of
condensed matter transport problem
A New S-S' Pair Creation Rate Expression Improving Upon Zener Curves for I-E Plots
To simplify phenomenology modeling used for charge density wave
(CDW)transport, we apply a wavefunctional formulation of tunneling Hamiltonians
to a physical transport problem characterized by a perturbed washboard
potential. To do so, we consider tunneing between states that are
wavefunctionals of a scalar quantum field. I-E curves that match Zener curves -
used to fit data experimentally with wavefunctionals congruent with the false
vacuum hypothesis. This has a very strong convergence with electron-positron
pair production representations.The similarities in plot behavior of the
current values after the threshold electric field values argue in favor of the
Bardeen pinning gap paradigm proposed for quasi-one-dimensional metallic
transport problems.Comment: 22 pages,6 figures, and extensive editing of certain segments.Paper
has been revised due to acceptance by World press scientific MPLB journal.
This is word version of file which has been submitted to MPLBs editor for
final proofing. Due for publication perhaps in mid spring to early summer
200
Algebraic and arithmetic area for planar Brownian paths
The leading and next to leading terms of the average arithmetic area enclosed by independent closed Brownian planar paths, with
a given length and starting from and ending at the same point, is
calculated. The leading term is found to be
and the -winding sector arithmetic area inside the paths is subleading
in the asymptotic regime. A closed form expression for the algebraic area
distribution is also obtained and discussed.Comment: 8 pages, 2 figure
Stochastic theory of quantum vortex on a sphere
A stochastic theory is presented for a quantum vortex that is expected to
occur in superfluids coated on two dimensional sphere . The
starting point is the canonical equation of motion (the Kirchhoff equation) for
a point vortex, which is derived using the time-dependent Landau-Ginzburg
theory. The vortex equation, which is equivalent to the spin equation, turns
out to be the Langevin equation, from which the Fokker-Planck equation is
obtained by using the functional integral technique. The Fokker-Planck equation
is solved for several typical cases of the vortex motion by noting the specific
form of pinning potential. An extension to the non-spherical vortices is
briefly discussed for the case of the vortex on plane and pseudo-sphere