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We employ the diagrammatic Monte Carlo method based on lattice path-integral representaion of the particle sector and real-space diagrammatics of the phonon sector to study effects of optical phonon dispersion on Bose-Einstein condensation…

Strongly Correlated Electrons · Physics 2024-09-24 Chao Zhang , Nikolay Prokof'ev , Boris Svistunov

Tracer diffusion and hydrodynamic dispersion in two-dimensional fractures with self-affine roughness is studied by analytic and numerical methods. Numerical simulations were performed via the lattice-Boltzmann approach, using a new boundary…

Statistical Mechanics · Physics 2016-08-31 German Drazer , Joel Koplik

Combining sum factorization, weighted quadrature, and row-based assembly enables efficient higher-order computations for tensor product splines. We aim to transfer these concepts to immersed boundary methods, which perform simulations on a…

Computational Engineering, Finance, and Science · Computer Science 2023-09-06 Benjamin Marussig , René Hiemstra , Dominik Schillinger

The modeling of coupled-channel effects has become increasingly important due to the availability of highly precise data for a large variety of hadronic (re)scattering processes. The K-matrix is a powerful, yet comparatively simple, method…

High Energy Physics - Phenomenology · Physics 2026-01-16 Nils Hüsken , Eric S. Swanson , Adam Szczepaniak

Reduced Bloch mode expansion is presented for fast periodic media band structure calculations. The expansion employs a natural basis composed of a selected reduced set of Bloch eigenfunctions. The reduced basis is selected within the…

Computational Physics · Physics 2012-10-25 Mahmoud I. Hussein

The factorization of short-distance partonic cross-sections from universal long-distance kinematic distributions is fundamental to phenomenology at hadron colliders. It has been predicted however that observables sensitive to momenta…

High Energy Physics - Phenomenology · Physics 2021-08-10 Jordan Roth

We present a new discretization for advection-diffusion problems with Robin boundary conditions on complex time-dependent domains. The method is based on second order cut cell finite volume methods introduced by Bochkov et al. to discretize…

Numerical Analysis · Mathematics 2021-11-24 Aaron Barrett , Aaron L. Fogelson , Boyce E. Griffith

We condition super-Brownian motion on "boundary statistics" of the exit measure $X_D$ from a bounded domain $D$. These are random variables defined on an auxiliary probability space generated by sampling from the exit measure $X_D$. Two…

Probability · Mathematics 2013-10-22 Thomas S. Salisbury , A. Deniz Sezer

In the following work we apply the boundary element method to two-phase flows in shallow microchannels, where one phase is dispersed and does not wet the channel walls. These kinds of flows are often encountered in microfluidic…

Fluid Dynamics · Physics 2014-12-09 Mathias Nagel , François Gallaire

In many physical contexts, evolution convection equations may present some very large amplitude convective terms. As an example, in the context of magnetic confinement fusion, the distribution function that describes the plasma satisfies…

Numerical Analysis · Mathematics 2015-02-05 Alexandre Mouton

The effective, fast transport of matter through porous media is often characterized by complex dispersion effects. To describe in mathematical terms such situations, instead of a simple macroscopic equation (as in the classical Darcy's…

Numerical Analysis · Mathematics 2025-05-06 Surendra Nepal , Vishnu Raveendran , Michael Eden , Rainey Lyons , Adrian Muntean

We improve the range of exponents for the restriction problem for the 3-d paraboloid over finite fields. The key new ingredient is a variant of the Bourgain-Katz-Tao finite field incidence theorem derived from sum-product estimates. In…

Classical Analysis and ODEs · Mathematics 2016-06-01 Mark Lewko

In rough-wall boundary layers, wall-parallel non-homogeneous mean-flow solutions exist that lead to so-called dispersive velocity components and dispersive stresses. They play a significant role in the mean-flow momentum balance near the…

Fluid Dynamics · Physics 2019-02-20 Johan Meyers , Bharathram Ganapathisubramani , Raúl Bayoán Cal

Partially twisted boundary conditions are widely used for improving the momentum resolution in lattice computations of hadronic correlation functions. The method is however expensive since every additional twist requires computing…

High Energy Physics - Lattice · Physics 2021-12-17 Nils Asmussen , Alessandro Barone , Andreas Jüttner

The existence of more than one solution for s-wave pairing in the extended Hubbard model is not often realized. This possibility was noted by Friedberg et al. [Phys. Rev B50, 10190 (1994)] in the case of two electrons on a lattice, without…

Superconductivity · Physics 2007-05-23 M. Bak

We analysed the identified hadron multiplicity predictions of the modified thermodynamical model of the multiparticle production processes with non-extensive statistic. The replacement of the standard Boltzmann exponential factor by the…

High Energy Physics - Phenomenology · Physics 2015-06-15 T. Wibig

We present Nystr\"om discretizations of multitrace formulations and non-overlapping Domain Decomposition Methods (DDM) for the solution of Helmholtz transmission problems for bounded composite scatterers with piecewise constant material…

Numerical Analysis · Mathematics 2017-10-11 Carlos Jerez-Hanckes , Carlos Pérez-Arancibia , Catalin Turc

We describe a new, adaptive solver for the two-dimensional Poisson equation in complicated geometries. Using classical potential theory, we represent the solution as the sum of a volume potential and a double layer potential. Rather than…

Numerical Analysis · Mathematics 2022-11-29 Fredrik Fryklund , Leslie Greengard

We introduce a systematic expansion tailored to systems with strong local interactions and capable of computing response functions, including finite DC transport, analytically. The expansion is controlled by a small parameter $s^2$ that…

Strongly Correlated Electrons · Physics 2026-05-20 Pavel A Nosov , Eslam Khalaf , Patrick Ledwith

We present a technique for deriving lower bounds for incidences with hypersurfaces in ${\mathbb R}^d$ with $d\ge 4$. These bounds apply to a large variety of hypersurfaces, such as hyperplanes, hyperspheres, paraboloids, and hypersurfaces…

Combinatorics · Mathematics 2016-10-05 Adam Sheffer