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A new and easy way of deriving Gauss's Generalized Hypergeometric Theorem is presented by using the Bilateral Binomial Theorem.

General Mathematics · Mathematics 2007-05-23 Martin Erik Horn

We present a class of thermodynamic systems with constant thermodynamic curvature which, within the context of geometric approaches of thermodynamics, can be interpreted as constant thermodynamic interaction among their components. In…

Mathematical Physics · Physics 2013-09-05 A. C. Gutiérrez-Piñeres , C. S. López-Monsalvo , F. Nettel

In the Einstein--Gauss--Bonnet (EGB) gravity models, the slow-roll approximation has been extended by taking into account the first-order slow-roll parameter $\delta_1 =-2\,H^2\,\xi^\prime/U_0$, which is proportional to the first derivative…

General Relativity and Quantum Cosmology · Physics 2025-03-04 E. O. Pozdeeva

We obtain the cumulants of conserved charges in Generalized Gibbs Ensemble (GGE) by a direct summation of their finite-particle matrix elements. The Gaudin determinant that describes the norm of Bethe states is written as a sum over forests…

Statistical Mechanics · Physics 2020-04-22 Dinh-Long Vu

The second post-Newtonian hydrodynamic equations are analyzed within the framework of a plane wave solution. The hydrodynamic equations for the mass and momentum density are coupled with six Poisson equations for the Newtonian and…

General Relativity and Quantum Cosmology · Physics 2023-03-09 Gilberto M. Kremer

We reconsider, from a novel perspective, how unitarity constrains the corrections to the ratio of shear viscosity \eta\ to entropy density s. We start with higher-derivative extensions of Einstein gravity in asymptotically anti-de Sitter…

High Energy Physics - Theory · Physics 2015-05-30 Ram Brustein , A. J. M. Medved

2-group global symmetries are a particular example of how higher-form and conventional global symmetries can fuse together into a larger structure. We construct a theory of hydrodynamics describing the finite-temperature realization of a…

High Energy Physics - Theory · Physics 2023-09-20 Nabil Iqbal , Napat Poovuttikul

We propose a new model which describes relativistic hydrodynamics and generalizes the standard Euler system of isentropic perfect fluids. Remarkably, our system admits a convex extension which allows us to transform it to a symmetric…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Robert Beig , Philippe G. LeFloch

Cyclic universes with bouncing solutions are candidates for solving the big bang initial singularity problem. Here we seek bouncing solutions in a modified Gauss-Bonnet gravity theory, of the type $R+f(G)$, where $R$ is the Ricci scalar,…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Inês Terrucha , Daniele Vernieri , José P. S. Lemos

In this paper we discuss the analytical properties of the binary collision integral for a gas of ultrarelativistic particles interacting via a constant cross-section. Starting from a near-equilibrium expansion over a complete basis of…

Fluid Dynamics · Physics 2024-04-02 David Wagner , Victor E. Ambrus , Etele Molnar

We use the Ward identities corresponding to general linear transformations, and derive relations between transport coefficients of $(2+1)$-dimensional systems. Our analysis includes relativistic and Galilean invariant systems, as well as…

High Energy Physics - Theory · Physics 2015-03-30 Carlos Hoyos , Bom Soo Kim , Yaron Oz

We present a new approximation to include fully general relativistic pressure and velocity in Newtonian hydrodynamics. The energy conservation, momentum conservation and two Poisson's equations are consistently derived from Einstein's…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Jai-chan Hwang , Hyerim Noh , J'ulio Fabris , Oliver F. Piattella , Winfried Zimdahl

We compute second order transport coefficients of the dilute Fermi gas at unitarity. The calculation is based on kinetic theory and the Boltzmann equation at second order in the Knudsen expansion. The second order transport coefficients…

Quantum Gases · Physics 2014-11-05 Thomas Schaefer

We revisit the Einstein-Gauss-Bonnet theory in view of the GW170817 event, which compels that the gravitational wave speed is equal to $c_T^2=1$ in natural units. We use an alternative approach compared to one previous work of ours, which…

General Relativity and Quantum Cosmology · Physics 2020-04-22 S. D. Odintsov , V. K. Oikonomou

We find the hydrodynamic equations of a system of particles constrained to be in the lowest Landau level. We interpret the hydrodynamic theory as a Hamiltonian system with the Poisson brackets between the hydrodynamic variables determined…

Statistical Mechanics · Physics 2015-04-27 Michael Geracie , Dam Thanh Son

We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss Drude weights, conductivity and diffusion constants, as well…

Statistical Mechanics · Physics 2022-01-26 Jacopo De Nardis , Benjamin Doyon , Marko Medenjak , Miłosz Panfil

We compute finite coupling correction to a nonlinear second order hydrodynamic coefficient in the boost invariant expansion of the N=4 supersymmetric Yang-Mills plasma. The result is universal for a large class of strongly coupled four…

High Energy Physics - Theory · Physics 2009-01-14 Alex Buchel , Miguel Paulos

Using the non-relativistic hydrodynamic expansion, we solve equations of motion for Einstein gravity and Gauss-Bonnet gravity with a negative cosmological constant within the region between a finite cutoff surface and a black brane horizon,…

High Energy Physics - Theory · Physics 2011-07-21 Rong-Gen Cai , Li Li , Yun-Long Zhang

The field equations of general relativity can be derived from the Einstein action, which is quadratic in connection coefficients, rather than the standard action involving the Gibbons-Hawking-York term and counterterm. We show that it is…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Martin Krššák

Generalized hydrodynamics (GHD) is a recent theoretical approach that is becoming a go-to tool for characterizing out-of-equilibrium phenomena in integrable and near-integrable quantum many-body systems. Here, we benchmark its performance…

Quantum Gases · Physics 2024-04-23 R. S. Watson , S. A. Simmons , K. V. Kheruntsyan