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The purpose of this paper is to deal with the issue of well-posedness for a class of non-Newtonian fluid dynamics equations. These sets of equations are commonly used to describe various complex models that appear in nature, industry, and…

Analysis of PDEs · Mathematics 2022-02-09 Bilal Al Taki

We consider the low-energy effective field theory describing the infrared dynamics of non-dissipative fluids. We extend previous work to accommodate conserved charges, and we clarify the matching between field theory variables and…

High Energy Physics - Theory · Physics 2012-08-23 Sergei Dubovsky , Lam Hui , Alberto Nicolis , Dam Thanh Son

In a recent experimental paper [1] a qualitative confirmation of the existence of upstream neutral modes at $\nu = 2/3$ quantum Hall edge was reported. Using the chiral Luttinger liquid theory of quantum Hall edge we develop a quantitative…

Strongly Correlated Electrons · Physics 2014-03-13 O. Shtanko , K. Snizhko , V. Cheianov

In this work we study the quark-meson model within a real-time formulation of the functional renormalization group (FRG) on the Schwinger-Keldysh contour. First, we discuss in detail the symmetry of thermal equilibrium for the fermionic…

High Energy Physics - Phenomenology · Physics 2025-03-28 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

In this paper we investigate the applicability of non-equilibrium statistical mechanics to non-equilibrium damage phenomena. As an example, a fiber-bundle model with thermal noise and a fiber-bundle model with decay of fibers are…

Statistical Mechanics · Physics 2009-05-25 S. G. Abaimov

We consider an approximation procedure to evaluate the finite-temperature one-loop fermionic density in the presence of a chiral background field which systematically incorporates effects from inhomogeneities in the chiral field through a…

High Energy Physics - Phenomenology · Physics 2009-11-11 Bruno G. Taketani , Eduardo S. Fraga

This thesis considers out-of-equilibrium dynamics of strongly interacting non-relativistic Fermi gases in several two and three dimensional geometries. The tools of second-order hydrodynamics and gauge-gravity duality will be utilized to…

Quantum Gases · Physics 2018-04-30 William Lewis

The statistical-mechanical study of the equilibrium properties of fluids, starting from the knowledge of the interparticle interaction potential, is essential to understand the role that microscopic interaction between individual particles…

Soft Condensed Matter · Physics 2025-10-07 Ana M. Montero

It is possible to formulate fluid dynamics in terms of group-valued variables. This is particularly suited to the cases where the fluid has nonabelian charges and is coupled to nonabelian gauge fields. We explore this formulation further in…

High Energy Physics - Theory · Physics 2013-05-30 V. P. Nair , Rashmi Ray , Shubho Roy

The fluid in global equilibrium must fulfill some constraints. These constraints can be derived from quantum statistical theory or kinetic theory. In this paper we will show that how these constraints can be applied to determine the…

High Energy Physics - Phenomenology · Physics 2022-03-29 Shi-Zheng Yang , Jian-Hua Gao , Zuo-Tang Liang

We develop a method for modeling and simulating a class of two-phase flows consisting of two immiscible incompressible dielectric fluids and their interactions with imposed external electric fields in two and three dimensions. We first…

Numerical Analysis · Mathematics 2024-07-08 Jielin Yang , Ivan C. Christov , Suchuan Dong

We investigate the first-order transport coefficients of a fluid made of quasiparticles with a temperature-dependent mass extracted from chiral models. We describe this system using an effective kinetic theory, given by the relativistic…

High Energy Physics - Phenomenology · Physics 2026-03-17 Pedro Nogarolli , Gabriel S. Denicol , Eduardo S. Fraga

The influence of an external electric field on the spin dynamics of an electrically neutral Fermi liquid is considered, the mechanism of such an influence being the relativistic spin-orbital interaction. As a result, Leggett's equations for…

Condensed Matter · Physics 2007-05-23 P. L. Krotkov

Non-equilibrium critical phenomena generally exist in many dynamic systems, like chemical reactions and some driven-dissipative {reactive} particle systems. Here, by using computer simulation and theoretical analysis, we demonstrate the…

Soft Condensed Matter · Physics 2021-05-26 Qun-Li Lei , Hao Hu , Ran Ni

We develop a geometric formulation of fluid dynamics, valid on arbitrary Riemannian manifolds, that regards the momentum-flux and stress tensors as 1-form valued 2-forms, and their divergence as a covariant exterior derivative. We review…

Fluid Dynamics · Physics 2022-06-14 Andrew D. Gilbert , Jacques Vanneste

We outline the hybrid framework of spin hydrodynamics, combining classical kinetic theory with the Israel-Stewart method of introducing dissipation. We obtain the local equilibrium expressions for the baryon current, the energy-momentum…

High Energy Physics - Phenomenology · Physics 2025-08-18 Zbigniew Drogosz

In this paper we report on 2D numerical simulations concerning linear and nonlinear evolution of surface-tension-driven instability in two-fluid systems heated from below using classical and phase-field models. In the phase-field formalism,…

Pattern Formation and Solitons · Physics 2015-06-26 Rodica Borcia , Domnic Merkt , Michael Bestehorn

The expansion of a classical Hamilton formalism consisting in adaptation of it to describe the nonequilibrium systems is offered. Expansion is obtained by construction of formalism on the basis of the dynamics equation of the equilibrium…

Classical Physics · Physics 2007-05-23 V. M. Somsikov

We study a system describing the dynamics of a two-phase flow of incompressible viscous fluids influenced by the convective heat transfer of Caginalp-type. The separation of the fluids is expressed by the order parameter which is of diffuse…

Analysis of PDEs · Mathematics 2023-08-15 Šárka Nečasová , John Sebastian H. Simon

The Chamblin-Reall gravity is a remarkable non-conformal platform for the fluid/gravity correspondence to achieve its maximum efficiency. When a probe scalar field that does not change the background metric is manually introduced into the…

High Energy Physics - Theory · Physics 2024-12-23 Chao Wu , Hao Hu , Ruohan Wang , Tingqing Zhou
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