Wigner crystal in snaked nanochannels: outlook

We study properties of Wigner crystal in snaked nanochannels and show that they are characterized by a conducting sliding phase at low charge densities and an insulating pinned phase emerging above a certain critical charge density. We trace parallels between this model problem and the Little suggestion for electron transport in organic molecules. We also show that in presence of periodic potential inside the snaked channel the sliding phase exists only inside a certain window of electron densities that has similarities with a pressure dependence of conductivity in organic conductors. Our studies show emergence of dynamical glassy phase in a purely periodic potential in absence of any disorder that can explain enormously slow variations of resistivity in organic conductors. Finally we discuss the KAM concept of superfluidity induced by repulsive Coulomb interaction between electrons. We argue that the transition from the sliding KAM phase to the pinned Aubry phase corresponds to the superfluid-insulator transition.Comment: 4 pages, 4 figs, Proceedings of ECRYS-2011, Carges

Trapped Fermi gases

We study the properties of a spin-polarized Fermi gas in a harmonic trap, using the semiclassical (Thomas-Fermi) approximation. Universal forms for the spatial and momentum distributions are calculated, and the results compared with the corresponding properties of a dilute Bose gas.Comment: 6 pages, LaTex, revtex, epsf, submitted to Phys. Rev. A, 6 December 199

Wigner crystal in snaked nanochannels

We study properties of Wigner crystal in snaked nanochannels and show that they are characterized by conducting sliding phase at low charge densities and insulating pinned phase emerging above a certain critical charge density. The transition between these phases has a devil's staircase structure typical for the Aubry transition in dynamical maps and the Frenkel-Kontorova model. We discuss implications of this phenomenon for charge density waves in quasi-one-dimensional organic conductors and for supercapacitors in nanopore materials.Comment: 4 pages, 6 figs, research at http://www.quantware.ups-tlse.f

Quantum phase transition in the Frenkel-Kontorova chain: from pinned instanton glass to sliding phonon gas

We study analytically and numerically the one-dimensional quantum Frenkel-Kontorova chain in the regime when the classical model is located in the pinned phase characterized by the gaped phonon excitations and devil's staircase. By extensive quantum Monte Carlo simulations we show that for the effective Planck constant $\hbar$ smaller than the critical value $\hbar_c$ the quantum chain is in the pinned instanton glass phase. In this phase the elementary excitations have two branches: phonons, separated from zero energy by a finite gap, and instantons which have an exponentially small excitation energy. At $\hbar=\hbar_c$ the quantum phase transition takes place and for $\hbar>\hbar_c$ the pinned instanton glass is transformed into the sliding phonon gas with gapless phonon excitations. This transition is accompanied by the divergence of the spatial correlation length and appearence of sliding modes at $\hbar>\hbar_c$.Comment: revtex 16 pages, 18 figure

Renormalization and Quantum Scaling of Frenkel-Kontorova Models

We generalise the classical Transition by Breaking of Analyticity for the class of Frenkel-Kontorova models studied by Aubry and others to non-zero Planck's constant and temperature. This analysis is based on the study of a renormalization operator for the case of irrational mean spacing using Feynman's functional integral approach. We show how existing classical results extend to the quantum regime. In particular we extend MacKay's renormalization approach for the classical statistical mechanics to deduce scaling of low frequency effects and quantum effects. Our approach extends the phenomenon of hierarchical melting studied by Vallet, Schilling and Aubry to the quantum regime.Comment: 14 pages, 1 figure, submitted to J.Stat.Phy

Quantum chaos: Degree of reversibility of quantum dynamics of classically chaotic systems

We introduce a quantitative measure of reversibility of quantum dynamics of classically chaotic systems beyond the semi-classical domain

MICRORNAS AS BIOMARKERS OF CARDIOVASCULAR DISEASES

The fact that microRNAs play an important role in the development and pathogenesis of cardiovascular disease is beyond doubt. This article provides a brief overview of recent data that relate to microRNA expression in various cardiovascular diseases. Detecting significant changes in the level of expression of these molecules in various diseases means that microRNAs can be considered to be potential biomarkers of human pathologies including heart failure. Studying the relationship between the mechanisms of cardiovascular disease and the level of expression of a variety of microRNAs, as well as establishing their exact relationships with the genes is an urgent problem and requires further research

MICRORNAS AS BIOMARKERS OF CARDIOVASCULAR DISEASES

The fact that microRNAs play an important role in the development and pathogenesis of cardiovascular disease is beyond doubt. This article provides a brief overview of recent data that relate to microRNA expression in various cardiovascular diseases. Detecting significant changes in the level of expression of these molecules in various diseases means that microRNAs can be considered to be potential biomarkers of human pathologies including heart failure. Studying the relationship between the mechanisms of cardiovascular disease and the level of expression of a variety of microRNAs, as well as establishing their exact relationships with the genes is an urgent problem and requires further research