100 citations · 173 across the 8 of their papers we have counts for
11 papers
Structural electroneutrality in Onsager-Stefan-Maxwell transport with charged species
Alexander Van-Brunt, Patrick E. Farrell, Charles W. Monroe
We present a method to embed local electroneutrality within Onsager-Stefan-Maxwell electrolytic-transport models, circumventing their formulation as differential systems with an al…
Finite element methods for multicomponent convection-diffusion
Francis R. A. Aznaran, Patrick E. Farrell, Charles W. Monroe +1
We develop finite element methods for coupling the steady-state Onsager--Stefan--Maxwell equations to compressible Stokes flow. These equations describe multicomponent flow at low…
Consolidated theory of fluid thermodiffusion
Alexander Van-Brunt, Patrick E. Farrell, Charles W. Monroe
We present the Onsager--Stefan--Maxwell thermodiffusion equations, which account for the Soret and Dufour effects in multicomponent fluids. Unlike transport laws derived from kinet…
Augmented saddle point formulation of the steady-state Stefan--Maxwell diffusion problem
Alexander Van-Brunt, Patrick E. Farrell, Charles W. Monroe
We investigate structure-preserving finite element discretizations of the steady-state Stefan--Maxwell diffusion problem which governs diffusion within a phase consisting of multip…
Stochastic homogenization of deterministic control problems
Alexander Van-Brunt
In this paper we study homogenization of a class of control problems in a stationary and ergodic random environment. This problem has been mostly studied in the calculus of variati…
Infinitely divisible nonnegative matrices, -matrices, and the embedding problem for finite state stationary Markov Chains
Alexander Van-Brunt
This paper explicitly details the relation between -matrices, nonnegative roots of nonnegative matrices, and the embedding problem for finite-state stationary Markov chains. The…
Sparsity of the Hawking flux
Matt Visser, Finnian Gray, Sebastian Schuster +1
It is (or should be) well-known that the Hawking flux that reaches spatial infinity is extremely sparse, and extremely thin, with the Hawking quanta, one-by-one, slowly dribbling o…
The Hawking cascade from a black hole is extremely sparse
Finnian Gray, Sebastian Schuster, Alexander Van-Brunt +1
The Hawking flux from a black hole, (at least as seen from asymptotic infinity), is extremely sparse and thin, with the average time between emission of the successive Hawking quan…
Explicit Baker-Campbell-Hausdorff formulae for some specific Lie algebras
Alexander Van-Brunt, Matt Visser
In a previous article, [arXiv:1501.02506, JPhysA {\bf48} (2015) 225207], we demonstrated that whenever the Baker-Campbell-Hausdorff formula reduces to the t…
Simplifying the Reinsch algorithm for the Baker-Campbell-Hausdorff series
Alexander Van-Brunt, Matt Visser
The Baker-Campbell-Hausdorff series computes the quantity \begin{equation*} Z(X,Y)=\ln\left( e^X e^Y \right) = \sum_{n=1}^\infty z_n(X,Y), \end{equation*} where and are not…
Special-case closed form of the Baker-Campbell-Hausdorff formula
Alexander Van-Brunt, Matt Visser
The Baker-Campbell-Hausdorff formula is a general result for the quantity , where and are not necessarily commuting. For completely general commutati…