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We consider strongly coupled competitive elliptic systems that arise in the study of two-component Bose-Einstein condensates. As the coupling parameter tends to infinity, solutions that remain uniformly bounded are known to converge to a…

Analysis of PDEs · Mathematics 2019-03-25 Jean-Baptiste Casteras , Christos Sourdis

The method used earlier for analysis of correlated nanoscopic systems is extended to infinite (periodic) s-band like systems described by the Hubbard model and its extensions. The optimized single-particle wave functions contained in the…

Strongly Correlated Electrons · Physics 2009-02-18 Jan Kurzyk , Włodzimierz Wójcik , Jozef Spałek

Boundary effects play an important role in the study of hydrodynamic limits in the Boltzmann theory. Based on a systematic derivation and study of the viscous layer equations and the $L^2$ to $L^\infty$ framework, we establish the validity…

Analysis of PDEs · Mathematics 2021-05-12 Yan Guo , Feimin Huang , Yong Wang

Hydrodynamically interacting active particles in an external harmonic potential form a self-assembled fluid pump at large enough P\'eclet numbers. Here, we give a quantitative criterion for the formation of the pump and show that particle…

Soft Condensed Matter · Physics 2015-06-18 Marc Hennes , Katrin Wolff , Holger Stark

We calculate the asymptotic behaviour of correlation functions as a function of the microscopic parameters for a Bose-Fermi mixture with repulsive interaction in one dimension. For two cases, namely polarized and unpolarized fermions the…

Strongly Correlated Electrons · Physics 2007-05-23 Holger Frahm , Guillaume Palacios

The measured elliptic flow (v2) of identified particles as a function of pT and centrality at RHIC suggests the created medium in Au+Au collisions achieves early local thermal equilibrium that is followed by hydrodynamic expansion. It is…

Nuclear Experiment · Physics 2009-11-11 Erik Johnson

We investigate the transverse momentum spectra ($p_T$) and elliptic flow ($v_2$) of $\pi^{\pm}$, $K^{\pm}$, $p$, and $\bar{p}$ produced in peripheral Au+Au collisions at $\sqrt{s_{\rm NN}} = 7.7$, 11.5, 19.6, 27, and 39 GeV in the Beam…

Nuclear Theory · Physics 2026-05-28 Anand Rai , Ashutosh Dwibedi , Sabyasachi Ghosh

In the context of Born-Infeld electrodynamics, the electromagnetic fields interact with each other via their non-linear couplings. A calculation will be performed where an incoming electromagnetic plane wave scatters off a Coulomb Field in…

High Energy Physics - Theory · Physics 2011-02-21 Daniel Tennant

A quantum field-theoretical model, which describes spatially non-homogeneous repulsive Bose gas in an external harmonic potential is considered. Two-point thermal correlation functions of the Bose gas are calculated in the framework of the…

Mathematical Physics · Physics 2007-05-23 C. Malyshev , N. M. Bogoliubov

We associate the following physical co-mover conditions of to different frame choices: i) Eckart: particle flow, ii) Landau-Lifshitz: energy flow, iii) J\"uttner: moving thermometer frame. The role of fixing a flow-frame is analysed with…

General Relativity and Quantum Cosmology · Physics 2014-07-23 P. Ván , T. S. Biró

In the context of the density functional theory we consider the single particle excitation spectra of electron systems. As a result, we have related the single particle excitations with the eigenvalues of the corresponding Kohn-Sham…

Condensed Matter · Physics 2009-10-31 M. Ya. Amusia , V. R. Shaginyan

The instability of flows via two-dimensional perturbations is analyzed theoretically and numerically in a nonmodal framework. The analysis is based on results obtained in [Verschaeve et al. (2018)] showing the inviscid character of the…

Fluid Dynamics · Physics 2020-02-25 Joris C. G. Verschaeve

The transverse profile dependence of elliptic flow is studied in a parton cascade model. We compare results from the binary scaling profile to results from the wounded nucleon scaling profile. The impact parameter dependence of elliptic…

Nuclear Theory · Physics 2015-06-26 Bin Zhang

We derive a new formula for the longitudinal HBT-radius of the two particle Bose-Einstein correlation function from a new family of finite and exact, accelerating solution of relativistic perfect fluid hydrodynamics for a temperature…

Nuclear Theory · Physics 2019-06-27 Tamás Csörgő , Gábor Kasza

The implications of the formation of a Bose condensate on one- and two-particle spectra are studied for ultrarelativistic nucleus-nucleus collisions in the framework of a hydrodynamic description. It is found that single particle spectra…

Nuclear Theory · Physics 2008-11-26 U. Ornik , M. Plümer , B. R. Schlei , D. Strottman , R. M. Weiner

We consider general model with factorization between macroscopic flow and matter decay distribution. We show universality of $p_t^2$ behavior of elliptic flow at small $p_t$ for identified final particles in the symmetric nucleus collision.…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. A. Abramovsky , A. V. Popov

We prove the existence of a large class of dynamical solutions to the Einstein-Euler equations that have a first post-Newtonian expansion. The results here are based on the elliptic-hyperbolic formulation of the Einstein-Euler equations…

General Relativity and Quantum Cosmology · Physics 2009-05-12 Todd A. Oliynyk

The blast wave model is generalized to include the production of thermal clusters, as suggested by the apparent success of the statistical model of particle production at high energies. The formulae for the HBT correlation functions and the…

High Energy Physics - Phenomenology · Physics 2014-09-16 Andrzej Bialas , Wojciech Florkowski , Kacper Zalewski

The first measurements of elliptic flow of $\pi^\pm$, ${\rm K}^\pm$, p+$\overline{\rm p}$, ${\rm K_{S}^0}$, $\Lambda$+$\overline{\Lambda}$, $\phi$, $\Xi^-$+$\Xi^+$, and $\Omega^-$+$\Omega^+$ using multiparticle cumulants in Pb$-$Pb…

Nuclear Experiment · Physics 2023-06-16 ALICE Collaboration

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate…

Nuclear Theory · Physics 2015-05-30 T. S. Biro , E. Molnar