The diffusion of an overdamped Brownian particle in a tilted periodic potential is known to exhibit a pronounced enhancement over the free thermal diffusion within a small interval of tilt values. Here we show that weak disorder in the form of small, time-independent deviations from a strictly spatially periodic potential may further boost this diffusion peak by orders of magnitude. Our general...

Binary mixtures with a negative separation ratio are known to exhibit time-independent spatially localized convection when heated from below. Numerical continuation of such states in a closed two-dimensional container with experimental boundary conditions and parameter values reveals the presence of a pinning region in Rayleigh number with multiple stable localized states but no bistability bet...

The rotational Doppler shift (RDS) is typically measured by illuminating a rotating target with laser prepared in simple, known orbital angular momentum (OAM) superposition. We establish theoretically and experimentally that detecting the does not require incident light to have well-defined OAM spectrum but instead requires correlations within spectrum. demonstrate measurement of using spatiall...

It is shown that spatially homogeneous solutions of the Einstein equations coupled to a nonlinear scalar field and other matter exhibit accelerated expansion at late times for a wide variety of potentials V . These potentials are strictly positive but tend to zero at infinity. They satisfy restrictions on V ′/V and V ′′/V ′ related to the slow-roll approximation. These results generalize Wald’s...

Randomly connected networks of excitatory and inhibitory spiking neurons provide a parsimonious model of neural variability, but are notoriously unreliable for performing computations. We show that this difficulty is overcome by incorporating the well-documented dependence of connection probability on distance. Spatially extended spiking networks exhibit symmetry-breaking bifurcations and gener...