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With a view of applications to the simulations of supernova explosion and proto neutron star cooling, we derive the Boltzmann equations for the neutrino transport with the flavor mixing based on the real time formalism of the nonequilibrium…

Astrophysics · Physics 2009-10-31 Shoichi Yamada

Upon breaking the integrability, the equations of generalized hydrodynamics (GHD) are supplemented by a Boltzmann collision term. Such terms are typically complicated and stem from a perturbative treatment of integrability-breaking terms in…

Statistical Mechanics · Physics 2026-03-03 Saikat Santra , Maciej Łebek , Miłosz Panfil

With the two flavor Nambu-Jona-Lasinio (NJL) model we carry out a phenomenological study on the chiral phase structure, mesonic properties and transport properties in a momentum-space anisotropic quark matter. To calculate transport…

High Energy Physics - Phenomenology · Physics 2022-01-13 He-Xia Zhang , Yu-Xin Xiao , Jin-Wen Kang , Ben-Wei Zhang

In this contribution we briefly give an overview of the theoretical models used to describe experimental data from heavy-ion collisions from $\sqrt{s_{NN}} \approx $ 4 GeV to ultra-relativistic energies of $\sqrt{s_{NN}} \approx $ 5 TeV. We…

Nuclear Theory · Physics 2017-11-07 E. L. Bratkovskaya , W. Cassing , P. Moreau , T. Song

The phenomenological textbook equations for the charge and heat transport are extensively used in a number of fields ranging from semiconductor devices to thermoelectricity. We provide a rigorous derivation of transport equations by solving…

Materials Science · Physics 2017-06-28 M. Battiato , V. Zlatic , K. Held

The nonstationary and steady-state transport through a mesoscopic sample connected to particle reservoirs via time-dependent barriers is investigated within the reduced density operator method. The generalized Master equation is solved via…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

We investigate transport properties of one-dimensional fermionic tight binding models featuring nearest and next-nearest neighbor hopping, where the fermions are additionally subject to a weak short range mutual interaction. To this end we…

Quantum Gases · Physics 2015-06-04 Christian Bartsch , Jochen Gemmer

We develop the kinetic theory of Hamiltonian systems with weak long-range interactions. Starting from the Klimontovich equation and using a quasilinear theory, we obtain a general kinetic equation that can be applied to spatially…

Statistical Mechanics · Physics 2009-11-13 Pierre-Henri Chavanis

In this review we first outline the basics of transport theory and its recent generalization to off-shell transport. We then present in some detail the main ingredients of any transport method using in particular the Giessen…

High Energy Physics - Phenomenology · Physics 2012-02-06 O. Buss , T. Gaitanos , K. Gallmeister , H. van Hees , M. Kaskulov , O. Lalakulich , A. B. Larionov , T. Leitner , J. Weil , U. Mosel

We discuss inhomogeneous ground states of the Nambu-Jona-Lasino (NJL) and quark-meson (QM) model within mean-field approximation and their possible existence in the respective phase diagrams. For this purpose we focus on lower dimensional…

High Energy Physics - Phenomenology · Physics 2009-11-05 Dominik Nickel

Recent results connected to nuclear collision dynamics, from low up to relativistic energies, are reviewed. Heavy ion reactions offer the unique opportunity to probe the complex nuclear many-body dynamics and to explore, in laboratory…

Nuclear Theory · Physics 2020-07-15 Maria Colonna

A Linearized Boltzmann Transport (LBT) model coupled with hydrodynamical background is established to describe the evolution of jet shower partons and medium excitations in high energy heavy-ion collisions. We extend the LBT model to…

Nuclear Theory · Physics 2016-07-27 Shanshan Cao , Tan Luo , Guang-You Qin , Xin-Nian Wang

The hadronic transport model \textsc{art} is extended to include the production and annihilation of deuterons via the reactions $BB \leftrightarrow dM$, where $B$ and $M$ stand for baryons and mesons, respectively, as well as their elastic…

Nuclear Theory · Physics 2009-12-14 Yongseok Oh , Zi-Wei Lin , Che Ming Ko

Starting from the Kadanoff-Baym relativistic transport equation and the multiple scattering expansion of the self-energy, we obtain the Boltzmann collision terms for any number of participating particles to all orders in perturbation theory…

High Energy Physics - Phenomenology · Physics 2009-11-11 F. Fillion-Gourdeau , J. -S. Gagnon , S. Jeon

We study the 2-flavor Nambu--Jona-Lasinio (NJL) model at finite temperature, $T$, and chemical potential, $\mu$, in the dimensional regularization. The pion and sigma meson masses are calculated at finite $T$ and $\mu$. The color…

High Energy Physics - Phenomenology · Physics 2009-01-14 T. Fujihara , T. Inagaki , D. Kimura , A. Kvinikhidze

Our first aim is to explore the effect of the collision integral with the insurance of instantaneous conservation of particle number on charge and heat transport in a thermal QCD medium. The second aim is to see how the dimensional…

High Energy Physics - Phenomenology · Physics 2021-09-29 Salman Ahamad Khan , Binoy Krishna Patra

We show the infrared equivalence between a recently proposed model containing a six dimensional scalar field with a four-dimensional localized Higgs type potential and the four-dimensional Nambu-Jona-Lasinio (NJL) model. In the dual NJL…

High Energy Physics - Theory · Physics 2009-11-11 Emilian Dudas , Chloe Papineau

We report the inclusion of electron-electron correlation in the calculation of transport properties within an ab initio scheme. A key step is the reformulation of Landauer's approach in terms of an effective transmittance for the…

Strongly Correlated Electrons · Physics 2009-11-10 A. Ferretti , A. Calzolari , R. Di Felice , F. Manghi , M. J. Caldas , M. Buongiorno Nardelli , E. Molinari

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

The quasi-coherent effects in two-dimensional incompressible turbulence are analyzed starting from the test particle trajectories. They can acquire coherent aspects when the stochastic potential has slow time variation and the motion is not…

Plasma Physics · Physics 2017-04-05 M. Vlad , F. Spineanu
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