In nanowires, conductance itself can change in a complex nonmonotonic,
nonlinear way as a function of current density.  For example, see --

"Quantum Suppression of the Rayleigh Instability in Nanowires"
http://arxiv.org/abs/cond-mat/0006237


James Bowery wrote:
> Something that occurs to me about the emergence of a negative coefficient
> of temperature at high loading of hydrogen in metallic lattices is that it
> may be related to the stress imposed by that loading.  If stress reaches a
> point where charge carriers to emerge, then increasing the temperature may
> enhance the emergence of those carriers.
>
> The emergence of charge carriers with stress is theorized to occur in
> igneous rock:
>
>
>
> *Stress-Induced Changes in the Electrical Conductivity of Igneous Rocks
> and
> the Generation of Ground Currents*
>
> *Author*:Friedemann T. Freund, Akihiro Takeuchi, Bobby W. S. Lau, Rachel
> Post, John Keefner, Joshua Mellon, and Akthem Al-Manaseer
>
> *Abstract*
>
>     If we can ever hope to understand the non-seismic signals that the
> Earth sends out before major earthquakes, we need to understand the
> physics
> of rocks under increased levels of stress. In particular we need to
> understand the generation of electrical currents in the ground. We have
> begun to study how electrical conductivity of igneous rocks changes under
> stress and what types of charge carriers are involved. We show that
> quartz-rich granite and quartz-free anorthosite both generate electronic
> charge carriers when subjected to stress. The charge carriers are positive
> holes (p-holes), i.e., defect electrons on the oxygen anion sublattice.
> They spread out of the stressed rock volume, the “source volume”, into the
> surrounding unstressed rocks. Time-varying ground currents are required to
> generate pre-earthquake local magnetic field anomalies and low-frequency
> electromagnetic emissions. We posit that stress-induced activation of
> p-hole charge carriers and their outflow from the source volume is the
> basic process by which ground currents can be generated in the Earth’s
> crust. We propose that the arrival of p-holes at the Earth’s surface leads
> to changes in the ground potential that may induce ionospheric
> perturbations. We further propose that the build-up of high electric
> fields
> at the ground surface can ionize the air, hence cause ion emission and
> corona discharges. When p-holes recombine at the ground surface, they are
> expected to form vibrationally highly excited O-O bonds. The de-excitation
> of these O-O bonds will lead to stimulated mid-IR emission, which may
> explain the reported pre-earthquake “thermal anomalies” identified in
> satellite images.
>
> *Key word:Pre-earthquake phenomena, Electrical conductivity, Stress,
> Magnetic field, Ionization, EM emission, Thermal anomalies*
> ------------------------------
>
> *Full_Text(pdf)<http://tao.cgu.org.tw/center/article_download_one.php?id=530xv153p437>
>  *
>


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