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We extend our two-scale neural-network method for scalar singularly perturbed problems with one small parameter to dynamical systems with multiple small parameters. To accommodate multiple small parameters, we use a single effective scale…

Numerical Analysis · Mathematics 2026-05-05 Qiao Zhuang , Taorui Wang , Rita Wanjiku , Majid Bani-Yaghoub , Zhongqiang Zhang

Scientists and engineers rely on accurate mathematical models to quantify the objects of their studies, which are often high-dimensional. Unfortunately, high-dimensional models are inherently difficult, i.e. when observations are sparse or…

Machine Learning · Computer Science 2018-02-13 Robert A. Bridges , Chris Felder , Chelsey Hoff

The spherical-box approach is extended to calculate the resonance parameters and the real part of the wave function for single particle resonances in a potential containing the long-range Coulomb interaction. A model potential is taken to…

Quantum Physics · Physics 2010-06-08 Shan-Gui Zhou , Jie Meng , En-Guang Zhao

Switching between different levels of resolution is essential for multiscale modeling, but restoring details at higher resolution remains challenging. In our previous study we have introduced deepBackmap: a deep neural-network-based…

Chemical Physics · Physics 2024-06-12 Marc Stieffenhofer , Tristan Bereau , Michael Wand

To communicate at the nanoscale, researchers have proposed molecular communication as an energy-efficient solution. The drawback to this solution is that the histogram of the molecules' hitting times, which constitute the molecular signal…

Emerging Technologies · Computer Science 2018-08-21 Bayram Cevdet Akdeniz , Nafi Ahmet Turgut , H. Birkan Yilmaz , Chan-Byoung Chae , Tuna Tugcu , Ali Emre Pusane

A soluble model of weakly coupled "molecular" and "nuclear" Hamiltonians is studied in order to exhibit explicitly the mechanism leading to the enhancement of fusion probability in case of a narrow near-threshold nuclear resonance. We,…

Materials Science · Physics 2007-05-23 A. K. Motovilov , W. Sandhas , V. B. Belyaev

A relativistic hadronic model for nuclear matter and finite nuclei, which incorporates nonlinear chiral symmetry and broken scale invariance, is presented and applied at the one-baryon-loop level to finite nuclei. The model contains an…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. J. Furnstahl , Hua-Bin Tang , Brian D. Serot

The projection-operator formalism of Feshbach is applied to resonance scattering in a single-channel case. The method is based on the division of the full function space into two segments, internal (localized) and external (infinitely…

We derive the Hamiltonian for cold fermionic atoms in an optical lattice across a broad Feshbach resonance, taking into account of both multiband occupations and neighboring-site collisions. Under typical configurations, the resulting…

Other Condensed Matter · Physics 2009-11-11 L. -M. Duan

Phase-equivalent transformation of local interaction is generalized to the multi-channel case. Generally, the transformation does not change the number of the bound states in the system and their energies. However, with a special choice of…

Nuclear Theory · Physics 2009-11-06 A. M. Shirokov , V. N. Sidorenko

This paper deals with the derivation of a collective model of cell populations out of an individual-based description of the underlying physical particle system. By looking at the spatial distribution of cells in terms of time-evolving…

Mathematical Physics · Physics 2014-11-12 Annachiara Colombi , Marco Scianna , Andrea Tosin

From viruses to nanoparticles, constructs functionalized with multiple ligands display peculiar binding properties that only arise from multivalent effects. Using statistical mechanical modelling, we describe here how multivalency can be…

Effective spectral functions of the $\rho$ meson are reconstructed by considering the lifetimes inside different media using the hadronic transport SMASH (Simulating Many Accelerated Strongly-interacting Hadrons). Due to inelastic…

High Energy Physics - Phenomenology · Physics 2023-03-08 Renan Hirayama , Jan Staudenmaier , Hannah Elfner

The field of computer-aided synthesis planning (CASP) has seen rapid advancements in recent years, achieving significant progress across various algorithmic benchmarks. However, chemists often encounter numerous infeasible reactions when…

Machine Learning · Computer Science 2024-09-09 Shang Xiang , Lin Yao , Zhen Wang , Qifan Yu , Wentan Liu , Wentao Guo , Guolin Ke

The configuration interaction approach provides a conceptually simple and powerful approach to solve the Schr\"odinger equation for realistic molecules and materials but is characterized by an unfavourable scaling, which strongly limits its…

Chemical Physics · Physics 2022-08-16 B. Herzog , B. Casier , S. Lebègue , D. Rocca

Molecular communication is a biologically-inspired method of communication with attractive properties for microscale and nanoscale devices. In molecular communication, messages are transmitted by releasing a pattern of molecules at a…

Information Theory · Computer Science 2008-12-09 Andrew W. Eckford

We consider the coherent control of ultracold molecule-molecule scattering, impacted by a dense set of rovibrational resonances. To characterize the resonance spectrum, a rudimentary model based on multichannel quantum defect theory has…

Atomic Physics · Physics 2023-01-18 Adrien Devolder , Timur V. Tscherbul , Paul Brumer

Multichannel processing is widely used for speech enhancement but several limitations appear when trying to deploy these solutions to the real-world. Distributed sensor arrays that consider several devices with a few microphones is a viable…

Sound · Computer Science 2020-03-17 Nicolas Furnon , Romain Serizel , Irina Illina , Slim Essid

Properties of scalar--isoscalar mesons in a mass range from pi-pi threshold up to 1800 MeV are analysed using an unitary model with separable interactions in three decay channels: pi-pi, K-anti K and an effective 2pi-2pi. Different…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kamiński , L. Leśniak , B. Loiseau

Dynamical coupled-channel (DCC) approaches parametrize the interactions and dynamics of two and more hadrons and their response to different electroweak probes. The inclusion of unitarity, three-body channels, and other properties from…

Nuclear Theory · Physics 2025-10-15 Michael Döring , Johann Haidenbauer , Maxim Mai , Toru Sato