We introduce a massively parallel novel sequencing platform that combines an open flow cell design on a circular wafer with a large surface area and mostly natural nucleotides that allow optical end-point detection without reversible terminators. This platform enables sequencing billions of reads with longer read length (~300bp) and fast runs times (<20hrs) with high base accuracy (Q30 > 85%), at a low cost of $1/Gb. We establish system performance by whole-genome sequencing of the Genome-In-A-Bottle reference samples HG001-7, demonstrating high accuracy for SNPs (99.6%) and Indels in homopolymers up to length 10 (96.4%) across the vast majority (>98%) of the defined high-confidence regions of these samples. We demonstrate scalability of the whole-genome sequencing workflow by sequencing an additional 224 selected samples from the 1000 Genomes project achieving high concordance with reference data.

The Landauer conductance of a two terminal device equals to the number of open modes in the weak scattering limit. What is the corresponding result if we close the system into a ring? Is it still bounded by the number of open modes? Or is it unbounded as in the semi-classical (Drude) analysis? It turns out that the calculation of the mesoscopic conductance is similar to solving a percolation problem. The "percolation" is in energy space rather than in real space. The non-universal structures and the sparsity of the perturbation matrix cannot be ignored.

We study a particle on a ring in presence of a dissipative Caldeira-Leggett environment and derive its response to a dc field. We find, through a 2-loop renormalization group analysis, that a large dissipation parameter η flows to a fixed point η(R)=η(c)=ℏ/2π. We also reexamine the mapping of this problem to that of the Coulomb box and show that the relaxation resistance, of recent interest, is quantized for large η. For finite η>η(c) we find that a certain average of the relaxation resistance is quantized. We propose a box experiment to measure a quantized noise.

We consider a smooth, rotationally invariant, centered gaussian process in the plane, with arbitrary correlation matrix C tt . We study the winding angle φt around its center. We obtain a closed formula for the variance of the winding angle as a function of the matrix C tt . For most stationary processes C tt = C(t − t ) the winding angle exhibits diffusion at large time with. Correlations of exp(inφt) with integer n, the distribution of the angular velocityφt, and the variance of the algebraic area are also obtained. For smooth processes with stationary increments (random walks) the variance of the winding angle grows as 1 2 (ln t) 2 , with proper generalizations to the various classes of fractional Brownian motion. These results are tested numerically. Non integer n is studied numerically. arXiv:0904.0582v1 [cond-mat.stat-mech]

We study a particle on a ring in presence of a dissipative Caldeira-Leggett environment and derive its response to a DC field. We show how this non-equilibrium response is related to a flux averaged equilibrium response. We find, through a 2-loop renormalization group analysis, that a large dissipation parameter \eta flows to a fixed point \eta^R=\hbar/2\pi. We also reexamine the mapping of this problem to that of the Coulomb box and show that the relaxation resistance, of recent interest, is quantized for large \eta. For finite \eta>\eta^R we find that a certain average of the relaxation resistance is quantized. We propose a Coulomb box experiment to measure a quantized noise.Comment: 23 pages, 4 figures. Appendix E has been added, some detailed definitions and references were adde