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We discuss capability of Smooth Particle Hydrodynamics to represent adequately the dynamics of self-gravitating systems, in particular for what regards the quality of approximation of force fields in the motion equations. When cubic spline…

Astrophysics · Physics 2016-08-30 R. Capuzzo-Dolcetta , R. Di Lisio

The determination of exponentially stable equilibria and their basin of attraction for a dynamical system given by a general autonomous ordinary differential equation can be achieved by means of a contraction metric. A contraction metric is…

Dynamical Systems · Mathematics 2019-09-24 Peter Giesl , Sigurdur Hafstein , Iman Mehrabinezhad

Frequency Estimation of a complex exponential is a problem relevant to a large number of fields. In this paper a computationally efficient and accurate frequency estimator is presented using the guaranteed stable Sliding DFT which gives…

Systems and Control · Computer Science 2012-02-21 Anit Kumar Sahu , Mrityunjoy Chakraborty

With the help of force spectroscopy, several analytical theories aim at estimating the rate coefficient of folding for various proteins. Nevertheless, a chief bottleneck lies in the fact that there is still no perfect consensus on how does…

Soft Condensed Matter · Physics 2020-04-30 Aviel Chaimovich , Christian Leitold , Christoph Dellago

The center-of-mass position of a single trapped atomic ion is measured and tracked in time with high precision. Employing a near-resonant radio frequency field of wavelength 2.37 cm and a static magnetic field gradient of 19 T/m, the…

Quantum Physics · Physics 2024-07-29 P. H. Huber , P. Barthel , Th. Sriarunothai , G. S. Giri , S. Wölk , Ch. Wunderlich

We define new geometric constants for normed planes, determine their optimal values, and characterize types of planes for which these optimal values are attained. Relations of these constants to several topics, such as areas and distances…

Metric Geometry · Mathematics 2018-01-01 Vitor Balestro , Horst Martini , Ralph Teixeira

We introduce a non-perturbative framework for computing structure constants of single-trace operators in the N=4 SYM theory at large N. Our approach features new vertices, with hexagonal shape, that can be patched together into three- and…

High Energy Physics - Theory · Physics 2015-05-27 Benjamin Basso , Shota Komatsu , Pedro Vieira

This paper introduces an accurate edge-based smoothed finite element method (ES-FEM) for electromagnetic analysis for both two dimensional cylindrical and three dimensional cartesian systems, which shows much better performance in terms of…

Computational Engineering, Finance, and Science · Computer Science 2019-10-30 Yangfan Zhang , Pengfei Wang , Wenping Li , Shunchuan Yang

We investigate the problem of how to obtain the force field between atoms of an experimentally determined structure. We show how this problem can be efficiently solved, even at finite temperature, where the position of the atoms differs…

Condensed Matter · Physics 2009-10-28 J. M. Deutsch , Tanya Kurosky

Atom interferometers are sensitive to a wide range of forces by encoding their signals in interference patterns of matter waves. To estimate the magnitude of these forces, the underlying phase shifts they imprint on the atoms must be…

A framework based on FFT is proposed for micromechanical fatigue modeling of polycrystals as alternative to the Finite Element method (FEM). The variational FFT approach is used with a crystal plasticity model for the cyclic behavior of the…

Computational Physics · Physics 2019-05-23 Sergio Lucarini , Javier Segurado

In this paper we calculated the elastic constants of $\gamma Ce$. The calculations were performed self-consistently using the full potential augmented plane wave plus local orbital (FP-APW+lo) method. We used the generalized gradient…

Materials Science · Physics 2007-05-23 P. Rezaeian , S. Jalali Asadabadi , H. Amini

An adjoint-based procedure to determine weaknesses, or, more generally the material properties of structures is developed and tested. Given a series of force and deformation/strain measurements, the material properties are obtained by…

Optimization and Control · Mathematics 2023-03-28 Facundo N. Airaudo , Rainald Löhner , Roland Wüchner , Harbir Antil

A set of exactly computable orthonormal basis functions that are useful in computations involving constituent quarks is presented. These basis functions are distinguished by the property that they fall off algebraically in momentum space…

Nuclear Theory · Physics 2009-10-30 B. D. Keister , W. N. Polyzou

One of the difficulties of applying a SEA force control is the complexity that exists when implementing its three main components, which must work together one after the other. To facilitate the implementation of a force control by SEA, in…

Robotics · Computer Science 2022-01-04 Luis Alarcon , Job Ledezma

We explore the possibility for the reconstruction of the generative physical models describing interactions between atomic units in solids from observational electron microscopy data. Here, scanning transmission electron microscopy (STEM)…

Materials Science · Physics 2021-02-02 M. Chakraborty , M. Ziatdinov , O. Dyck , S. Jesse , A. D. White , S. V. Kalinin

Atomically-resolved imaging and force measurements using the atomic force microscope (AFM) are performed most commonly in a frequency-modulation (FM) mode. This has led to spectacular results, including direct observation of the atomic…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 John E. Sader , Barry D. Hughes , Ferdinand Huber , Franz J. Giessibl

Forced oscillations threaten the reliability of widearea power systems, and different approaches to estimate forced oscillation have been explored over the past several years. Though these efforts provide powerful tools to estimate a forced…

Signal Processing · Electrical Eng. & Systems 2023-05-30 Zikai Xu , John W. Pierre

In this paper, we propose an improvement of the adaptive biasing force (ABF) method, by projecting the estimated mean force onto a gradient. The associated stochastic process satisfies a non linear stochastic differential equation. Using…

Numerical Analysis · Mathematics 2015-01-29 Houssam Alrachid , Tony Lelièvre

We consider conformal perturbation theory for $n$-point functions on the sphere in general 2D CFTs to first order in coupling constant. We regulate perturbation integrals using canonical hard disk excisions of size $\epsilon$ around the…

High Energy Physics - Theory · Physics 2023-12-22 Benjamin A. Burrington , Ida G. Zadeh