Vortex jamming in superconductors and granular rheology

We demonstrate that a highly frustrated anisotropic Josephson junction array(JJA) on a square lattice exhibits a zero-temperature jamming transition, which shares much in common with those in granular systems. Anisotropy of the Josephson couplings along the horizontal and vertical directions plays roles similar to normal load or density in granular systems. We studied numerically static and dynamic response of the system against shear, i. e. injection of external electric current at zero temperature. Current-voltage curves at various strength of the anisotropy exhibit universal scaling features around the jamming point much as do the flow curves in granular rheology, shear-stress vs shear-rate. It turns out that at zero temperature the jamming transition occurs right at the isotropic coupling and anisotropic JJA behaves as an exotic fragile vortex matter : it behaves as superconductor (vortex glass) into one direction while normal conductor (vortex liquid) into the other direction even at zero temperature. Furthermore we find a variant of the theoretical model for the anisotropic JJA quantitatively reproduces universal master flow-curves of the granular systems. Our results suggest an unexpected common paradigm stretching over seemingly unrelated fields - the rheology of soft materials and superconductivity.Comment: 10 pages, 5 figures. To appear in New Journal of Physic

Geometrically Frustrated Crystals: Elastic Theory and Dislocations

Elastic theory of ring-(or cylinder-)shaped crystals is constructed and the generation of edge dislocations due to geometrical frustration caused by the bending is studied. The analogy to superconducting (or superfluid) vortex state is pointed out and the phase diagram of the ring-crystal, which depends on radius and thickness, is discussed.Comment: 4 pages, 3 figure

Local Anisotropy of Fluids using Minkowski Tensors

Statistics of the free volume available to individual particles have previously been studied for simple and complex fluids, granular matter, amorphous solids, and structural glasses. Minkowski tensors provide a set of shape measures that are based on strong mathematical theorems and easily computed for polygonal and polyhedral bodies such as free volume cells (Voronoi cells). They characterize the local structure beyond the two-point correlation function and are suitable to define indices $0\leq \beta_\nu^{a,b}\leq 1$ of local anisotropy. Here, we analyze the statistics of Minkowski tensors for configurations of simple liquid models, including the ideal gas (Poisson point process), the hard disks and hard spheres ensemble, and the Lennard-Jones fluid. We show that Minkowski tensors provide a robust characterization of local anisotropy, which ranges from $\beta_\nu^{a,b}\approx 0.3$ for vapor phases to $\beta_\nu^{a,b}\to 1$ for ordered solids. We find that for fluids, local anisotropy decreases monotonously with increasing free volume and randomness of particle positions. Furthermore, the local anisotropy indices $\beta_\nu^{a,b}$ are sensitive to structural transitions in these simple fluids, as has been previously shown in granular systems for the transition from loose to jammed bead packs

Models of plastic depinning of driven disordered systems

Two classes of models of driven disordered systems that exhibit history-dependent dynamics are discussed. The first class incorporates local inertia in the dynamics via nonmonotonic stress transfer between adjacent degrees of freedom. The second class allows for proliferation of topological defects due to the interplay of strong disorder and drive. In mean field theory both models exhibit a tricritical point as a function of disorder strength. At weak disorder depinning is continuous and the sliding state is unique. At strong disorder depinning is discontinuous and hysteretic.Comment: 3 figures, invited talk at StatPhys 2

Ordinary Percolation with Discontinuous Transitions

Percolation on a one-dimensional lattice and fractals such as the Sierpinski gasket is typically considered to be trivial because they percolate only at full bond density. By dressing up such lattices with small-world bonds, a novel percolation transition with explosive cluster growth can emerge at a nontrivial critical point. There, the usual order parameter, describing the probability of any node to be part of the largest cluster, jumps instantly to a finite value. Here, we provide a simple example of this transition in form of a small-world network consisting of a one-dimensional lattice combined with a hierarchy of long-range bonds that reveals many features of the transition in a mathematically rigorous manner.Comment: RevTex, 5 pages, 4 eps-figs, and Mathematica Notebook as Supplement included. Final version, with several corrections and improvements. For related work, see http://www.physics.emory.edu/faculty/boettcher

A new proposal of tailored bioinstrumentation using rapid prototyping and three-dimensional CAD — First trial to develop individually designed cuff-units for continuous blood pressure measurement

The concept of tailored bioinstrumentation using rapid prototyping and three-dimensional CAD (3D-CAD) was proposed. This concept is to make individually designed and fabricated sensor unit to attach human body. Within the proposed concept, cuff-units for continuous blood pressure measurement were individually designed using 3D-CAD and fabricated automatically. As the result, blood pressure wave forms can be obtained using the finally developed cuff units. Using rapid prototyping device, the design and fabrication process were accelerated without any artisan-like high skilled persons

Possibility of the Solid-Fluid Transition in Moving Periodic Systems

The steady sliding state of periodic structures such as charge density waves and flux line lattices is numerically studied based on two and three dimensional driven random field XY models. We focus on the dynamical phase transition between plastic flow and moving solid phases controlled by the magnitude of the driving force. By analyzing the connectivity of co-moving clusters, we find that they percolate the system within a finite observation time under driving forces larger than a certain critical force. The critical force, however, logarithmically diverges with the observation time, i.e. the moving solid phase exhibits only within a certain finite time, which exponentially grows with the driving force.Comment: 4 pages, 7 figure

Characterization of a modular enzyme of exo-1,5-α-l-arabinofuranosidase and arabinan binding module from Streptomyces avermitilis NBRC14893

A gene encoding an α-l-arabinofuranosidase, designated SaAraf43A, was cloned from Streptomyces avermitilis. The deduced amino acid sequence implies a modular structure consisting of an N-terminal glycoside hydrolase family 43 module and a C-terminal family 42 carbohydrate-binding module (CBM42). The recombinant enzyme showed optimal activity at pH 6.0 and 45°C and was stable over the pH range of 5.0–6.5 at 30°C. The enzyme hydrolyzed p-nitrophenol (PNP)-α-l-arabinofuranoside but did not hydrolyze PNP-α-l-arabinopyranoside, PNP-β-d-xylopyranoside, or PNP-β-d-galactopyranoside. Debranched 1,5-arabinan was hydrolyzed by the enzyme but arabinoxylan, arabinogalactan, gum arabic, and arabinan were not. Among the synthetic regioisomers of arabinofuranobiosides, only methyl 5-O-α-l-arabinofuranosyl-α-l-arabinofuranoside was hydrolyzed by the enzyme, while methyl 2-O-α-l-arabinofuranosyl-α-l-arabinofuranoside and methyl 3-O-α-l-arabinofuranosyl-α-l-arabinofuranoside were not. These data suggested that the enzyme only cleaves α-1,5-linked arabinofuranosyl linkages. The analysis of the hydrolysis product of arabinofuranopentaose suggested that the enzyme releases arabinose in exo-acting manner. These results indicate that the enzyme is definitely an exo-1,5-α-l-arabinofuranosidase. The C-terminal CBM42 did not show any affinity for arabinogalactan and debranched arabinan, although it bound arabinan and arabinoxylan, suggesting that the CBM42 bound to branched arabinofuranosyl residues. Removal of the module decreased the activity of the enzyme with regard to debranched arabinan. The CBM42 plays a role in enhancing the debranched arabinan hydrolytic action of the catalytic module in spite of its preference for binding arabinofuranosyl side chains