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We are developing software and data tools which parametrize coarse-grained force-fields in a systematic way while preserving the chemistry, thermodynamics, and dynamics of the underlying atomistic system. Our approach is based on statistical thermodynamics
We describe the utility of integral representations for sums of basic hypergeometric functions. In particular we use these to derive an infinite sequence of transformations for symmetrizations over certain variables which the functions possess. These
Zhelun Chen, Jin Wen, Steven T. Bushby, L James Lo, Zheng O'Neill, Vance (Wm.) Payne, Amanda Pertzborn, Caleb Calfa, Yangyang Fu, Gabriel Grajewski, Yicheng Li, Zhiyao Yang
Accurate simulation of building system dynamics is particularly important for understanding building energy flexibility. Among all dynamics in a building, a zone temperature's variation is especially important, as it significantly affects a building's
We derive an expansion for the fundamental solution of Laplace's equation in flat-ring coordinates in three-dimensional Euclidean space. This expansion is a double series of products of functions that are harmonic in the interior and exterior of "flat
Christina Bergonzo, Alexander Grishaev, Sandro Bottaro
We describe the conformational ensemble of the single-stranded r(UCAAUC) oligonucleotide obtained using extensive molecular dynamics (MD) simulations. The conformations observed in MD consist of A-form-like structures and variations thereof. By comparing
Howard Cohl, Abdou Youssef, Andre Greiner Petter, Moritz Schubotz, Bela Gipp, Akiko Aizawa, Avi Trost, Rajen Dey
Digital Mathematical Libraries assemble the knowledge of years of mathematical research. Numerous disciplines (e.g., physics, engineering, pure and applied mathematics) rely heavily on compendia gathered findings. Likewise, modern research relies more and
Using the direct relation between the Gegenbauer polynomials C_n^λ(x) and the Ferrers function of the first kind P_μ^ν(x), we compute interrelations between certain Jacobi polynomials, Meixner polynomials, and Ferrers functions of the first and second kind
Edward Garboczi, Sumitra Dey, Ahmed Hassan, Deb Chatterjee
Modeling the electromagnetic response of Carbon Nanotube (CNT) reinforced composites is inherently a three dimensional (3D) multi-scale problem that is challenging to solve in real-time for nondestructive evaluation applications. This article presents a
Zachary J. Grey, Susanna Mosleh, Jake Rezac, Yao Ma, Jason Coder, Andrew Dienstfrey
Radio spectrum is a scarce resource. To meet demands, new wireless technologies must operate in shared spectrum over unlicensed bands (coexist). We consider coexistence of Long-Term Evolution (LTE) License-Assisted Access (LAA) with incumbent Wi-Fi systems
Klaus Natorf Quelhas, Mark-Alexander Henn, Thinh Bui, Hunter Wages, Weston L. Tew, Solomon I. Woods
Modeling of Magnetic Particle Imaging (MPI) systems allows for developing and testing novel methods for image reconstruction and simulating various setups without the need of real-life measurement data. Here we describe the the initial development of a C++
Mark-Alexander Henn, Klaus Natorf Quelhas, Solomon I. Woods
Magnetic Particle Imaging (MPI) has in recent years been established as a powerful imaging tool that measures thenon-linear magnetic response of magnetic particles to an applied field. Obtaining quantitative information fromthese images in the form of a
This report presents an approach to verifying executability of system behavior models by treating them as logical constraint problems solved using Alloy Analyzer, a non-proprietary software tool supporting a textual language for logical constraints and
The mmWave radio frequency (RF) spectrum allocations provide a large bandwidth and an excellent dynamic spectrum sharing (DSS) opportunity for emerging 5G New-Radio unlicensed (NR-U) and Wireless Gigabit (WiGig) services. To support constructive DSS, we
The radio spectrum is becoming an increasingly scarce and valuable resource to such an extent that sharing the unlicensed bands is inevitable. In this work, we consider a multicell, multi-user massive multiple-input multiple-output (MIMO) coexistence