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Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

Applications · Statistics 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka

We provide simple and accurate analytic approximations for the low frequency double Compton emission coefficient that are applicable in a broad range of physical situations up to mildly relativistic temperatures. These approximations may be…

Astrophysics · Physics 2009-11-11 J. Chluba , S. Yu. Sazonov , R. A. Sunyaev

An approximation for the inverse-Compton radiation power of electrons in the isotropic black-body photon field is presented. The approximation allows one to calculate inverse-Compton emissivity as integral over the energies of incident…

Astrophysics · Physics 2015-05-13 O. Petruk

The Compton process with the initial states of photons and neutrons described by the density matrices of a general form is studied for low energies of photons. The coherent contribution to the inclusive probability to record a photon is…

High Energy Physics - Phenomenology · Physics 2026-05-12 P. O. Kazinski , A. A. Sokolov

We develop the analytical method of field momenta for analyzing the dynamics of optical vector solitons in photorefractive nonlinear media. First, we derive the effective evolution equations for the parameters of multi-component solitons…

Pattern Formation and Solitons · Physics 2007-05-23 Ilya Shadrivov , Alexander A. Zharov

Numerical models of collisionless shocks robustly predict an electron distribution comprised of both thermal and non-thermal electrons. Here, we explore in detail the effect of thermal electrons on the emergent synchrotron emission from…

High Energy Astrophysical Phenomena · Physics 2021-12-22 Ben Margalit , Eliot Quataert

When an electron is accelerated, it emits radiation. In the relativistic quantum realm the elementary radiation process is the emission of a single photon, a process known as nonlinear Compton scattering in the case of an electron moving in…

Quantum Physics · Physics 2026-05-06 Antonino Di Piazza , Kenan Qu

Starting with the average particle distribution function for bosons and fermions for non-extensive thermodynamics , as proposed in \cite{CMP}, we obtain the corresponding density matrix operators and hamiltonians. In particular, for the…

Statistical Mechanics · Physics 2018-09-26 Marcelo R. Ubriaco

The energy spectra of pulses of GRBs are modeled for synchrotron and multiple self-inverse Compton scatterings from a population of thermal and non-thermal $e^-$s. The contribution from pairs that result from annihilation is also taken into…

Astrophysics · Physics 2007-05-23 H. Papathanassiou

Based on the Kompaneets approximation, we develop a robust methodology to calculate spectral redistribution via inelastic neutrino-nucleon scattering in the context of core-collapse supernova simulations. The resulting equations conserve…

High Energy Astrophysical Phenomena · Physics 2021-08-26 Tianshu Wang , Adam Burrows

Recent investigations by Fuchs et al. [Nat. Phys. 11, 964 (2015)] revealed an anomalous frequency shift in non-linear Compton scattering of high-intensity X-rays by electrons in solid beryllium. This frequency shift was at least 800 eV to…

Atomic Physics · Physics 2020-01-22 Akilesh Venkatesh , Francis Robicheaux

Single-particle and coincidence distributions of photons are analyzed for the noncollinear frequency-degenerate type-I regime of Spontaneous Parametric Down-Conversion. Noncollinearity itself is shown to provide a new mechanism of strong…

Quantum Physics · Physics 2018-01-24 M. V. Fedorov

We consider the formation of photon spectrum at the photosphere of ultrarelativistically expanding outflow. We use the Fokker-Planck approximation to the Boltzmann equation, and obtain the generalized Kompaneets equation which takes into…

High Energy Astrophysical Phenomena · Physics 2013-11-05 A. G. Aksenov , R. Ruffini , G. V. Vereshchagin

The nonlinear electrodynamics proposed by Bandos, Lechner, Sorokin and Townsend is a remarkable theory that unifies Maxwell, Bialynicki-Birula and ModMax theories, which are known theories invariant under conformal transformations and…

High Energy Physics - Phenomenology · Physics 2025-07-22 Yang Shi , Towe Wang

Sparse non-Hermitian random matrices arise in the study of disordered physical systems with asymmetric local interactions, and have applications ranging from neural networks to ecosystem dynamics. The spectral characteristics of these…

Statistical Mechanics · Physics 2024-02-21 Fernando Lucas Metz , Izaak Neri , Tim Rogers

Vortex $\gamma$ photons with intrinsic orbital angular momenta (OAM) possess a wealth of applications in various fields, e.g.-strong-laser physics, nuclear physics, particle physics and astrophysics-yet their generation remains unsettled.…

High Energy Physics - Phenomenology · Physics 2024-04-19 Mamutjan Ababekri , Ren-Tong Guo , Feng Wan , B. Qiao , Zhongpeng Li , Chong Lv , Bo Zhang , Weimin Zhou , Yuqiu Gu , Jian-Xing Li

In the inner regions of an accretion disk around a black hole, relativistic protons can interact with ambient matter to produce electrons, positrons and $\gamma$-rays. The resultant steady state electron and positron particle distributions…

Astrophysics · Physics 2009-11-11 S. Bhattacharyya , N. Bhatt , R. Misra

By implementing the bremsstrahlung with Monte Carlo algorithm into the particle-in-cell code, the bremsstrahlung and nonlinear Compton scattering can be studied simultaneously in comparison way in the laser plasma interactions. The…

Plasma Physics · Physics 2019-05-07 Feng Wan , Chong Lv , Moran Jia , Haibo Sang , Baisong Xie

Compton scattering between electrons and photons plays a crucial role in astrophysical plasmas. Many important aspects of this process can be captured by using the so-called Compton scattering kernel. For isotropic media, exact analytic…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-03 Abir Sarkar , Jens Chluba , Elizabeth Lee

A growing number of both galactic and extragalactic supernova remnants show non-thermal (non-plerionic) emission in the X-ray band. New synchrotron models, realized as SRESC and SRCUT in XSPEC 11, which use the radio spectral index and flux…

Astrophysics · Physics 2009-11-06 Kristy Dyer , Stephen Reynolds , Kazik Borkowski , Rob Petre