J.C. Flores

Mesoscopic circuits with charge discreteness: Quantum transmission lines

We propose a quantum Hamiltonian for a transmission line with charge discreteness. The periodic line is composed of an inductance and a capacitance per cell. In every cell the charge operator satisfies a nonlinear equation of motion because of the discreteness of the charge. In the basis of one energy per site, the spectrum can be calculated explicitly. The incorporation of electrical resistance in the line has been considered briefly.

Absence of localization in disordered systems with local correlation

In an early work by Dunlap et al. (1990) it was conjectured, using a matrix-transfer approach, that diagonal-disordered systems with local correlation (dimer-models) exhibit an absence of Anderson localization. In this letter we find explicitly these delocalized states, and energies, using a suitable unitary transformation and the symmetries related to the model. Moreover, we expand these states around the critical energy and find a new 1/ square root (E-Ec) divergence.

A mathematical model for the Andean Tiwanaku civilization collapse: climate variations.

We propose a mathematical nonlinear model for the Tiwanaku civilization collapse based on the assumption, supported by archeological data, that a drought caused a lack of the main resource, water. We evaluate the parameter of our model using archaeological data. According to our numerical simulation the population core should have decreased from 45,000 to 2000 inhabitants due to lake surface contraction.

Wave-front solution in extended quantum circuits with charge discreteness

We study the capacitively coupled, quantum transmission line with charge discreteness, discussed in an earlier paper [Flores, Phys. Rev. B 64, 235309 (2001)]. Due to the difficulties of dealing with a highly nonlinear system, only a low-lying propagating wave solution was obtained then, the so-called cirquiton. In this work, we obtain a wave-front solution, valid for the long-wavelengh approximation. The propagation velocity

Simple approach to the mesoscopic open electron resonator: quantum current oscillations

v

Diffusion coefficient of modern humans outcompeting Neanderthals.

of the wave front depends on the (pseudo) flux parameter

A mathematical model for wild and sterile species in competition: immigration

f

Comment on “Periodic wave functions and number of extended states in random dimer systems”

; the physical requirement that

Bloch's oscillations in quantum circuits with charge discreteness

v

Final cell distribution in a Zener pinned structure

should be real implies the existence of allowed and forbidden regions (gaps) in the space of the parameter