We study the transport of Brownian particles through a corrugated channel caused by a force field containing curl-free (scalar potential) and divergence-free (vector potential) parts. We develop a generalized Fick-Jacobs approach leading to an effective one-dimensional description involving the potential of mean force. As an application, the interplay of a pressure-driven flow and an oppositely...

In the title compound, C(26)H(24)O(2), the crowded naphthalene ring system is essentially planar [maximum deviation of 0.027 (2) Å for one of the C atoms of the unsubstituted ring]. In the crystal, mol-ecules are connected by O-H⋯O hydrogen bonds into chains along the a axis. Pairs of the oppositely oriented chains are further cross-linked by O-H⋯O hydrogen bonds, forming infinte bands of alter...

The computational operation called synchronization, vital for realizing multi-process systems, is described in terms of geometric (Cli ord) algebras over {-1,0,1}. This provides a two-way bridge between the worlds of computation and quantum mechanics, and casts new light on such matters as quantum non-determinism, mechanism and causality, the explicit structure of particles (including dark matt...

Crosslinks and molecular motors play an important role in the organization of cytoskeletal filament networks. Here we incorporate the effect of crosslinks into our model of polar motor-filament organization [Phys. Rev. E 71, 050901 (2005)], through suppressing the relative sliding of filaments in the course of motor-mediated alignment. We show that this modification leads to a nontrivial macros...

We propose a twisted SUSY invariant formulation of Chern-Simons theory on a Euclidean three dimensional lattice. The SUSY algebra to be realized on the lattice is the N = 4 D = 3 twisted algebra that was recently proposed by D’Adda et al. In order to keep the manifest anti-hermiticity of the action, we introduce oppositely oriented supercharges. Accordingly, the naive continuum limit of the act...

A skew brane is a codimension 2 submanifold in affine space such that the tangent spaces at any two distinct points are not parallel. We show that if an oriented closed manifold has a non-zero Euler characteristic χ then it is not a skew brane; generically, the number of oppositely oriented pairs of parallel tangent spaces is not less than χ/4. We give a version of this result for immersed surf...

Bundles of polar filaments which interact via active elements can exhibit complex dynamic behaviors. By using a simple and general description for the bundle dynamics, we find regimes for which density profiles propagate as solitary waves with a characteristic velocity along the bundle. These behaviors emerge from an interplay of local contractions in the bundle and relative sliding of opposite...

We present results from an optical implementation of quantum orienteering, a protocol for communicating directions in space using quantum bits. We show how different types of measurements and encodings can be used to increase the communication efficiency. In particular, if Alice and Bob use two spin- particles for communication and employ joint measurements, they do better than is possible with...

The notion of a C-ultrahomogeneous (or C-UH) graph, due to D. Isaksen et al., is adapted for digraphs and applied to the cubic distancetransitive graphs, considered as digraphs by replacing each edge by a pair of oppositely oriented arcs, with C formed by shortest oriented cycles and (k−1)-arcs with k = arc-transitivity. Moreover, (k−1)-powers of shortest cycles taken with orientation assignmen...