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Abstact: We introduce new models of energy redistribution in stochastic chemical kinetics with several molecule types and energy parameters. The main results concern the situations when there are product form measures. Using a probabilistic…

Probability · Mathematics 2011-12-20 Guy Fayolle , Vadim Malyshev , Serguei Pirogov

We consider N atoms trapped in an isotropic harmonic potential, with s-wave interactions of infinite scattering length. In the zero-range limit, we obtain several exact analytical results: mapping between the trapped problem and the…

Other Condensed Matter · Physics 2016-08-16 Félix Werner , Yvan Castin

The elastic and inelastic proton scattering on $^{18,20,22}$O nuclei are studied in a folding model formalism of nucleon-nucleus optical potential and inelastic form factor. The DDM3Y effective interaction is used and the ground state…

Nuclear Theory · Physics 2009-11-11 D. Gupta , E. Khan , Y. Blumenfeld

We study the inverse problem of tuning interaction parameters between charged colloidal particles interacting with a hard-core repulsive Yukawa potential, so that they assemble into specified crystal structures. Here, we target the…

Soft Condensed Matter · Physics 2019-10-02 Rajneesh Kumar , Gabriele M. Coli , Marjolein Dijkstra , Srikanth Sastry

To increase the energy of Particle Accelarators to reach the requirements of the Linear Collider or of the Super KEK-B factory, new accelerating structures with a higher accelerating gradient need to be developped. These accelerating…

Accelerator Physics · Physics 2007-05-23 Nicolas Delerue

We introduce a simple spherical model whose structural properties are similar to the ones generated by models with directional interactions, by employing a binary mixture of large and small hard spheres, with a square-well attraction acting…

Disordered Systems and Neural Networks · Physics 2009-11-13 Emanuela Zaccarelli , Francesco Sciortino , Piero Tartaglia

The interaction of highly charged ions (HCI) with solids leads to particle sputtering, which can be used for defect-mediated engineering of the properties of the material. Ions can store energy in the form of kinetic and potential energy…

To identify the robust settings of the control factors, it is very important to understand how they interact with the noise factors. In this article, we propose space-filling designs for computer experiments that are more capable of…

Methodology · Statistics 2018-11-26 V. Roshan Joseph , Li Gu , Shan Ba , William R. Myers

We consider an inverse elastic scattering problem of simultaneously reconstructing a rigid obstacle and the excitation sources using near-field measurements. A two-phase numerical method is proposed to achieve the co-inversion of multiple…

Numerical Analysis · Mathematics 2023-07-19 Yan Chang , Yukun Guo , Hongyu Liu , Deyue Zhang

A new particle-based sampling and approximate inference method, based on electrostatics and Newton mechanics principles, is introduced with theoretical ground, algorithm design and experimental validation. This method simulates an…

Artificial Intelligence · Computer Science 2024-07-01 Yongchao Huang

Motivated by recently developed techniques making it possible to compute Casimir energies for any object whose scattering S-matrix (or, equivalently, T-matrix) is available, we develop a variable phase method to compute the S-matrix for…

Quantum Physics · Physics 2013-01-01 Aden Forrow , Noah Graham

Scattering experiments can be leveraged to extract the effective properties of a heterogeneous metamaterial slab based on multi-point measurements in surrounding media. In this technique, two measurements are made in the ambient media on…

Applied Physics · Physics 2023-07-14 Joshua Morris , Alireza V. Amirkhizi

We propose an approach to measure surface elastic constants of soft solids. Generally, this requires one to probe interfacial mechanics at around the elastocapillary length scale, which is typically microscopic. Deformations of microscopic…

Soft Condensed Matter · Physics 2022-03-02 Stefanie Heyden , Petia M. Vlahovska , Eric R. Dufresne

Particle scattering is a powerful tool to unveil the nature of various subatomic phenomena. The key quantity is the scattering amplitude whose analytic structure carries the information of the quantum states. In this work, we demonstrate…

High Energy Physics - Phenomenology · Physics 2021-05-13 Denny Lane B. Sombillo , Yoichi Ikeda , Toru Sato , Atsushi Hosaka

Elastic scattering between $\alpha$-particles and $^{12}\mathrm{C}$ nuclei plays a crucial role in understanding resonance phenomena in light nuclear systems. In this work, we construct inverse potentials for resonant states in…

Nuclear Theory · Physics 2025-05-16 Ayushi Awasthi , Arushi Sharma , Barbie , Ishwar Kant , O. S. K. S. Sastri

We have considered the possibility to describe the astrophysical S-factors of some light atomic nuclei on the basis of the potential cluster model by taking into account the supermultiplet symmetry of wave functions and splitting the…

Nuclear Theory · Physics 2010-05-12 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov

The dynamic structure factor is a central quantity describing the physics of quantum many-body systems, capturing structure and collective excitations of a material. In condensed matter, it can be measured via inelastic neutron scattering,…

Quantum Gases · Physics 2015-05-07 Renate Landig , Ferdinand Brennecke , Rafael Mottl , Tobias Donner , Tilman Esslinger

We demonstrate an interference method to determine the low-energy elastic scattering amplitudes of a quantum gas. We linearly accelerate two ultracold atomic clouds up to energies of 1.2 mK and observe the collision halo by direct imaging…

Quantum Gases · Physics 2013-11-26 Ch. Buggle , J. Léonard , W. von Klitzing , J. T. M. Walraven

Over the last decade, a series of applied mathematics papers have explored a type of inverse problem--called by a variety of names including "inverse sensitivity", "pushforward based inference", "consistent Bayesian inference", or…

Methodology · Statistics 2022-11-30 Peter W. Marcy , Rebecca E. Morrison

The effects of four-quasiparticle configurations and time-odd interactions are investigated in the framework of configuration interaction projected density functional theory by taking the yrast states of 60Fe as examples. Based on the…

Nuclear Theory · Physics 2022-05-25 Y. K. Wang , P. W. Zhao , J. Meng
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