Path integral quantum Monte Carlo (PIMC) is a method for estimating thermal equilibrium properties of stoquastic spin systems by sampling from classical Gibbs distribution using Markov chain Carlo. The PIMC has been widely used to study the physics materials and simulated annealing, but these successful applications are rarely accompanied formal proofs that chains underlying rapidly converge de...

Polymeric microfluidic systems are well suited for miniaturized devices with complex functionality, and rapid prototyping methods for 3D microfluidic structures are increasingly used. Mixing at the microscale and performing chemical reactions at the microscale are important applications of such systems and we therefore explored feasibility, mixing characteristics and the ability to control a ch...

Enzymes are known to exhibit conformational flexibility. An important consequence of this flexibility is that the same enzyme reaction can occur via multiple reaction pathways on a reaction landscape. A model enzyme for the study of reaction landscapes is lactate dehydrogenase. We have previously used temperature-jump (T-jump) methods to demonstrate that the reaction landscape of lactate dehydr...

To assess the mixing characteristics of the right ventricle and pulmonary artery, radioiodinated (131)I serum albumin and indocyanine green dye were injected simultaneously in 16 subjects. One indicator was injected into the atrium and the other into the ventricle, or both were injected at different sites in the ventricle. Washout curves were obtained by rapid catheter sampling alternately just...

Abstract We study global-local mixing for a family of accessible skew products with an exponentially base and non-compact fibers, preserving infinite measure. For dense set almost periodic global observables, we prove rapid mixing, observables vanishing at infinity, polynomial mixing. More generally, relate the speed to “low frequency behavior” spectral measure associated our observables. Our s...