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Warm dense matter (WDM) is an exotic state on the border between condensed matter and dense plasmas. Important occurrences of WDM include dense astrophysical objects, matter in the core of our Earth, as well as matter produced in strong…

Plasma Physics · Physics 2021-02-24 Paul Hamann , Jan Vorberger , Tobias Dornheim , Zhandos Moldabekov , Michael Bonitz

It recently has been found that methods of the statistical theories of spectra can be a useful tool in the analysis of spectra far from levels of Hamiltonian systems. Several examples originate from areas, such as quantitative linguistics…

Statistical Mechanics · Physics 2020-05-26 Rongrong Xie , Weibing Deng , Mauricio P. Pato

Electromagnetic fundamental and harmonic emission is ubiquitously observed throughout the heliosphere, and in particular it is commonly associated with the occurrence of Type II and III solar radio bursts. Classical analytic calculations…

Solar and Stellar Astrophysics · Physics 2024-02-20 Fabio Bacchini , Alexander A. Philippov

Contrary to conventional wisdom, level repulsion in semiclassical spectrum is not just a feature of classically chaotic systems, but classically integrable systems as well. While in chaotic systems level repulsion develops on a scale of the…

Quantum Physics · Physics 2011-03-16 Tao Ma , R. A. Serota

Large-scale datasets with count outcome variables are widely present in various applications, and the Poisson regression model is among the most popular models for handling count outcomes. This paper considers the high-dimensional sparse…

Methodology · Statistics 2024-10-29 Prabrisha Rakshit , Zijian Guo

Particle-in-cell with Monte Carlo collisions (PIC/MCC) is a fully kinetic, particle based numerical simulation method with increasing popularity in the field of low temperature gas discharge physics. Already in its simplest form…

Plasma Physics · Physics 2022-06-15 Mate Vass , Peter Palla , Peter Hartmann

A full treatment for the scattering of an arbitrary number of bosons through a Bell multiport beam splitter is presented that includes all possible output arrangements. Due to exchange symmetry, the event statistics differs dramatically…

Quantum Physics · Physics 2012-04-18 Malte C. Tichy , Markus Tiersch , Fernando de Melo , Florian Mintert , Andreas Buchleitner

Motivated by the role that spectral properties play for the dynamical evolution of a quantum many-body system, we investigate the level spacing statistic of the extended Bose-Hubbard model. In particular, we focus on the distribution of the…

Quantum Gases · Physics 2010-08-18 Corinna Kollath , Guillaume Roux , Giulio Biroli , Andreas Laeuchli

A connection between integrability properties and general statistical properties of the spectra of symmetric transfer matrices of the asymmetric eight-vertex model is studied using random matrix theory (eigenvalue spacing distribution and…

Condensed Matter · Physics 2009-10-28 H. Meyer , J. -C. Anglès d'Auriac , J. -M. Maillard

Subcritical transition of an inhomogeneous plasma where turbulences with different characteristic space-time scales coexist is analyzed with methods of statistical physics of turbulences. We derived the development equations of the…

Plasma Physics · Physics 2007-05-23 Mitsuhiro Kawasaki , Sanae-I. Itoh , Kimitaka Itoh

High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerbated in multi-query simulations, where the problem depends on…

Numerical Analysis · Mathematics 2023-07-10 Jan S. Hesthaven , Cecilia Pagliantini , Nicolò Ripamonti

Kappa-distributed velocities in plasmas are common in a wide variety of settings, from low-density to high-density plasmas. To date, they have been found mainly in space plasmas, but are recently being considered also in the modelling of…

Statistical Mechanics · Physics 2025-03-25 Sergio Davis , Gonzalo Avaria , Biswajit Bora , Jalaj Jain , José Moreno , Cristian Pavez , Leopoldo Soto

Nonlinear ion-acoustic waves are analyzed in a non-relativistic magnetized quantum plasma with arbitrary degeneracy of electrons. Quantum statistics is taken into account by means of the equation of state for ideal fermions at arbitrary…

Plasma Physics · Physics 2017-12-15 Fernando Haas , Shahzad Mahmood

Plasmon and polariton modes are derived for an ideal semi-infinite (half-space) plasma and an ideal plasma slab by using a general, unifying procedure, based on equations of motion, Maxwell's equations and suitable boundary conditions.…

Optics · Physics 2015-05-13 M. Apostol , G. Vaman

The dispersion relation of longitudinal electrostatic oscillations in a relativistic plasma is studied in the context of the nonextensive statistics formalism proposed by Tsallis [C. Tsallis, J. Stat. Phys. {\bf 52}, 479 (1988)], where…

Plasma Physics · Physics 2007-05-23 Victor Munoz

In the analysis of count data often the equidispersion assumption is not suitable, hence the Poisson regression model is inappropriate. As a generalization of the Poisson distribution, the COM-Poisson distribution can deal with under-,…

We are interested in developing a numerical method for capturing stationary sheaths, that a plasma forms in contact with a metallic wall. This work is based on a bi-species (ion/electron) Vlasov-Amp{\`e}re model proposed in [3]. The main…

Numerical Analysis · Mathematics 2018-02-19 Mehdi Badsi , Michel Mehrenberger , Laurent Navoret

In this paper we study the asymptotic normality in high-dimensional linear regression. We focus on the case where the covariance matrix of the regression variables has a KMS structure, in asymptotic settings where the number of predictors,…

Statistics Theory · Mathematics 2022-05-17 Saulius Jokubaitis , Remigijus Leipus

We show that in a hierarchical clustering model the low-order statistics of the density and the peculiar velocity fields can all be modelled semianalytically for a given cosmology and an initial density perturbation power spectrum $P(k)$.…

Astrophysics · Physics 2015-06-24 H. J. Mo , Y. P. Jing , G. Börner

Using the idealized integrable Maxwell-Bloch model, we describe random optical-pulse polarization switching along an active optical medium in the Lambda-configuration with disordered occupation numbers of its lower energy sub-level pair.…

Optics · Physics 2015-06-04 Ethan P. Atkins , Peter R. Kramer , Gregor Kovacic , Ildar R. Gabitov
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