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We theoretically analyze the temperature behavior of paraxial light in thermal equilibrium with a dye-filled optical microcavity. At low temperatures the photon gas undergoes Bose-Einstein condensation (BEC), and the photon number in the…

Quantum Gases · Physics 2012-05-16 Jan Klaers , Julian Schmitt , Tobias Damm , Frank Vewinger , Martin Weitz

We present a novel method to solve the spatially homogeneous and isotropic relativistic Boltzmann equation. We employ a basis set of orthogonal polynomials dynamically adapted to allow for emergence of chemical non-equilibrium. Two time…

Numerical Analysis · Mathematics 2015-06-19 Jeremiah Birrell , Jon Wilkening , Johann Rafelski

Observations of polariton condensation in semiconductor microcavities suggest that polaritons can be exploited as a novel type of laser with low input-power requirements. The low-excitation regime is approximately equivalent to thermal…

Mesoscale and Nanoscale Physics · Physics 2013-07-16 Tomoyuki Horikiri , Yasuhiro Matsuo , Yutaka Shikano , Andreas Loeffler , Sven Hoefling , Alfred Forchel , Yoshihisa Yamamoto

The paper is a continuation of our previous work on the spatially homogeneous Boltzmann equation for Bose-Einstein particles with quantum collision kernel that includes the hard sphere model. Solutions $F_t$ under consideration that…

Analysis of PDEs · Mathematics 2025-01-17 Shuzhe Cai , Xuguang Lu

Starting from a nonequilibrium configuration we analyse the essential role of the direct and the inverse binary and triple interactions in reaching an asymptotic thermal equilibrium in a homogeneous isotropic electron-positron-photon…

Plasma Physics · Physics 2007-09-26 A. G. Aksenov , R. Ruffini , G. V. Vereshchagin

Hot matter with nucleons can be produced in the inner region of the neutrino-dominated accretion flow in gamma-ray bursts or during the proto-neutron star birth in successful supernova. The composition and equation of state of the matter…

Solar and Stellar Astrophysics · Physics 2015-06-15 A. Li , T. Liu

Systems with a long-term stationary state that possess as a spatio-temporally fluctuation quantity $\beta$ can be described by a superposition of several statistics, a "super statistics". We consider first, the Gamma, log-normal and…

Statistical Mechanics · Physics 2015-06-05 O. Obregón , A. Gil-Villegas

We demonstrate how Exceptional Points (EPs) naturally occur in the Luttinger Liquid (LL) theory describing the low-energy excitations of a microscopic lattice model with sublattice dependent electron-electron interaction. Upon bosonization,…

Strongly Correlated Electrons · Physics 2025-02-25 J. Schwardt , B. Michen , C. Lehmann , J. C. Budich

Entangled photon sources (EPS), the major building block for a variety of quantum communication protocols, are commonly developed by utilizing the spontaneous parametric down-conversion (SPDC) in $\chi^{2}$ nonlinear bulk optical materials.…

Quantum Physics · Physics 2022-07-14 Sandeep Singh , Vimlesh Kumar , Anirban Ghosh , G. K. Samanata

\'Eliashberg theory, being generalized to the electron-phonon (EP) systems with not constant density of electronic states, as well as to the frequency behavior of the renormalization of both the electron mass and the chemical potential, is…

Superconductivity · Physics 2016-07-11 Nikolay Kudryashov , Alexander Kutukov , Evgeny Mazur

The excess entropy of restricted primitive model electrolytes is calculated using a potential based approach through the symmetric Poisson-Boltzmann and the modified Poisson-Boltzmann theories. The theories are utilized in conjunction with…

Statistical Mechanics · Physics 2025-04-01 S. Lamperski , L. B. Bhuiyan , C. W. Outhwaite , R. Gorniak

Realistic nucleon-nucleon interaction induce correlations to the nuclear many-body system which lead to a fragmentation of the single-particle strength over a wide range of energies and momenta. We address the question of how this…

Nuclear Theory · Physics 2007-05-23 Arnau Rios , Artur Polls , Angels Ramos , Herbert Müther

The equilibrium-diffusion approximation (EDA) is used to describe certain radiation-hydrodynamic (RH) environments. When this is done the RH equations reduce to a simplified set of equations. The EDA can be derived by asymptotically…

Computational Physics · Physics 2018-03-14 J. M. Ferguson , J. E. Morel , R. B. Lowrie

There is a robust upper limit on the energy of synchrotron radiation in high-energy astrophysics: $ \sim m_{\rm e} c^2 /\alpha$, where $\alpha = 1/137$ is the fine structure constant and the value refers to the comoving frame of the fluid.…

Astrophysics · Physics 2015-05-13 Boris E. Stern , Yana Y. Tikhomirov

Recent theoretical and experiments have explored the use of entangled photons as a spectroscopic probe of material systems. We develop here a theoretical description for entropy production in the scattering of an entangled biphoton state…

Quantum Physics · Physics 2019-05-22 Hao Li , Andrei Piryatinski , Ajay Ram Srimath Kandada , Carlos Silva , Eric R. Bittner

We present a theory for the rate of energy exchange between electrons and ions -- also known as the electron-ion coupling factor -- in physical systems ranging from hot solid metals to plasmas, including liquid metals and warm dense matter.…

Plasma Physics · Physics 2019-10-16 Jerome Daligault , Jacopo Simoni

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

The Kompaneets equation governs dynamics of the photon energy spectrum in certain high temperature (or low density) plasmas. We prove several results concerning the long-time convergence of solutions to Bose--Einstein equilibria and the…

Analysis of PDEs · Mathematics 2022-08-26 Joshua Ballew , Gautam Iyer , C. David Levermore , Hailiang Liu , Robert L. Pego

In the thermodynamic limit the ratio of system size to thermal de Broglie wavelength tends to infinity and the volume per particle of the system is constant. Our familiar Bose-Einstein statistics is absolutely valid in the thermodynamic…

Statistical Mechanics · Physics 2009-11-19 Shyamal Biswas

We develop a nonequilibrium model of condensation and lasing of photons in a dye filled microcavity. We examine in detail the nature of the thermalization process induced by absorption and emission of photons by the dye molecules, and…

Quantum Gases · Physics 2013-09-05 Peter Kirton , Jonathan Keeling
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