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The BBGKY formalism is revisited in the framework of plasma spectroscopy. We address the issue of Stark line shape modeling by using kinetic transport equations. In the most simplified treatment of these equations, triple correlations…

Plasma Physics · Physics 2012-10-18 J. Rosato , H. Capes , Y. Marandet , A. Mekkaoui , R. Stamm

We introduce a method to numerically compute equilibrium measures for problems with attractive-repulsive power law kernels of the form $K(x-y) = \frac{|x-y|^\alpha}{\alpha}-\frac{|x-y|^\beta}{\beta}$ using recursively generated banded and…

Numerical Analysis · Mathematics 2023-04-05 Timon S. Gutleb , José A. Carrillo , Sheehan Olver

We study the impact parameter dependence of solutions to the Balitsky-Kovchegov (BK) equation. We argue that if the kernel of the BK integral equation is regulated to cutoff infrared singularities, then it can be approximated by an equation…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Ikeda , L. McLerran

This paper is concerned with the study of a family of fixed point iterations combining relaxation with different inertial (acceleration) principles. We provide a systematic, unified and insightful analysis of the hypotheses that ensure…

Optimization and Control · Mathematics 2025-06-24 Daniel Cortild , Juan Peypouquet

Ryabinkin, Kohut, and Staroverov (RKS) [Phys. Rev. Lett. 115, 083001 (2015)] devised an iterative method for reducing many-electron wave functions to Kohn-Sham exchange-correlation potentials, $v_\text{XC}(\mathbf{r})$. For a given type of…

Chemical Physics · Physics 2017-02-27 Egor Ospadov , Ilya G. Ryabinkin , Viktor N. Staroverov

The quasistatic limit of the velocity-gauge strong-field approximation describing the ionization rate of atomic or molecular systems exposed to linear polarized laser fields is derived. It is shown that in the low-frequency limit the…

Atomic Physics · Physics 2007-05-23 Yulian V. Vanne Alejandro Saenz

In this paper, we show how the motion of physical fields, in particular the electromagnetic potential, is connected with the choice of a space and time decomposition of the background spacetime manifold. The relation of the field dynamics…

General Relativity and Quantum Cosmology · Physics 2016-07-06 Rico Berner , Horst-Heino von Borzeszkowski , Thoralf Chrobok

The variation of radii, lifetimes, correlation lengths and the chaoticity parameter of particle sources with the collision energy $\sqrt{s}$ is studied by analysing and comparing two-particle Bose-Einstein correlation data obtained by the…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. V. Andreev , M. Plümer , B. R. Schlei , R. M. Weiner

Shape restriction, like monotonicity or convexity, imposed on a function of interest, such as a regression or density function, allows for its estimation without smoothness assumptions. The concept of $k$-monotonicity encompasses a family…

Statistics Theory · Mathematics 2023-06-09 Kang Wang , Subhashis Ghosal

Recovering properties of correlation functions is typically challenging. On one hand, experimentally, it requires measurements with a temporal resolution finer than the system's dynamics. On the other hand, analytical or numerical analysis…

Quantum Physics · Physics 2025-07-14 Wojciech Górecki , Simone Felicetti , Lorenzo Maccone , Roberto Di Candia

Koopmans-compliant functionals have been shown to provide accurate spectral properties for molecular systems; this accuracy is driven by the generalized linearization condition imposed on each charged excitation - i.e. on changing the…

Materials Science · Physics 2018-05-30 Ngoc Linh Nguyen , Nicola Colonna , Andrea Ferretti , Nicola Marzari

Self-referenced spectral interferometry, a newly introduced ultrafast pulse characterization is described and reviewed theoretically. Validity range, temporal dynamic, resolution and precision are detailed in the scope of different…

Optics · Physics 2012-04-24 Thomas Oksenhendler

Bose-Einstein correlations of pairs of identical charged pions produced in hadronic Z decays are analyzed in terms of various parametrizations. A good description is achieved using a L\'evy stable distribution in conjunction with a model…

High Energy Physics - Experiment · Physics 2011-05-10 W. J. Metzger , T. Novák , T. Csörgő , W. Kittel

Besides light curves and spectra, polarization provides a different powerful tool of studying the $\gamma-$ray burst (GRB) prompt phase. Compared with the time-integrated and energy-integrated polarization, time-resolved and energy-resolved…

High Energy Astrophysical Phenomena · Physics 2020-04-15 Mi-Xiang Lan , Zi-Gao Dai

Boltzmann transport problems often involve heavy streaming, where particles propagate long distance due to the dominance of advection over particle interaction. If an insufficiently refined non-rotationally invariant angular discretisation…

Numerical Analysis · Mathematics 2019-11-06 S. Dargaville , R. P. Smedley-Stevenson , P. N. Smith , C. C. Pain

The search for the optimal shape parameter for Radial Basis Function (RBF) kernel approximation has been an outstanding research problem for decades. In this work, we establish a theoretical framework for this problem by leveraging a…

Numerical Analysis · Mathematics 2026-01-21 Tizian Wenzel , Gabriele Santin

A model-independent statistical framework is presented to interpret data from systems where the mean time derivative of positional cross correlation between world lines, a measure of spreading in a quantum geometrical wave function, is…

General Relativity and Quantum Cosmology · Physics 2017-03-16 Craig J. Hogan , Ohkyung Kwon

Detailed knowledge of the primordial power spectrum of curvature perturbations is essential both in order to elucidate the physical mechanism (`inflation') which generated it, and for estimating the cosmological parameters from observations…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-17 Paul Hunt , Subir Sarkar

We show that a recently proposed derivation of Bose-Einstein correlations (BEC) by means of thermal Quantum Field Theory, supplemented by operator-field evolution of Langevin type, allows a deeper understanding of a possible coherent…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. A. Kozlov

The Chebyshev expansion offers a numerically efficient and easy-implement algorithm for evaluating dynamic correlation functions using matrix product states (MPS). In this approach, each recursively generated Chebyshev vector is…

Strongly Correlated Electrons · Physics 2018-02-14 H. D. Xie , R. Z. Huang , X. J. Han , X. Yan , H. H. Zhao , Z. Y. Xie , H. J. Liao , T. Xiang
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