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Functional renormalisation group approach is applied to a system of kaons with finite chemical potential. A set of approximate flow equations for the effective couplings is derived and solved. At high scale the system is found to be at the…

核理论 · 物理学 2017-06-07 Boris Krippa

The Euler-Navier-Stokes (E-NS) system arises as a macroscopic description of kinetic-fluid interactions, derived from the local-Maxwellian closure of the Vlasov-Fokker-Planck-Navier-Stokes flow. In this paper, we investigate the singular…

偏微分方程分析 · 数学 2025-12-11 Mingwen Fei , Ling-Yun Shou , Houzhi Tang

The Landau-Lifshitz Navier-Stokes (LLNS) equations incorporate thermal fluctuations into macroscopic hydrodynamics by using stochastic fluxes. This paper examines explicit Eulerian discretizations of the full LLNS equations. Several CFD…

数值分析 · 数学 2009-11-11 John B. Bell , Alejandro L. Garcia , Sarah A. Williams

The renormalization group method has been adapted to the analysis of the long-time behavior of non-linear partial differential equation and has demonstrated its power in the study of critical phenomena of gravitational collapse. In the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Osamu Iguchi , Akio Hosoya , Tatsuhiko Koike

A systematic analysis of the Burgers--Kardar--Parisi--Zhang equation in $d+1$ dimensions by dynamic renormalization group theory is described. The fixed points and exponents are calculated to two--loop order. We use the dimensional…

凝聚态物理 · 物理学 2011-12-08 Erwin Frey , Uwe Claus Täuber

We study the three-dimensional atomic Bose gas using renormalization group techniques. Using our knowledge of the microscopic details of the interatomic interaction, we determine the correct initial values of our renormalization group…

凝聚态物理 · 物理学 2009-10-28 M. Bijlsma , H. T. C. Stoof

The NS equation is considered (in 2 & 3 dimensions) with a fixed forcing on large scale; the stationary states form a family of probability distributions on the fluid velocity fields depending on a parameter R (Reynolds number). It is…

统计力学 · 物理学 2019-04-02 Giovanni Gallavotti

We study a self-organized critical system coupled to an isotropic random fluid environment. The former is described by a strongly anisotropic continuous (coarse-grained) model introduced by Hwa and Kardar [Phys. Rev. Lett. {\bf 62} 1813…

统计力学 · 物理学 2023-12-15 N. V. Antonov , P. I. Kakin , N. M. Lebedev , A. Yu. Luchin

We write a Renormalization Group (RG) equation for the function f in a theory of gravity in the f(R) truncation. Our equation differs from previous ones due to the exponential parametrization of the quantum fluctuations and to the choice of…

高能物理 - 理论 · 物理学 2015-09-16 Nobuyoshi Ohta , Roberto Percacci , Gian Paolo Vacca

We show that a Galilean invariant version of fluid dynamics can be derived by the methods of statistical dynamics using Maxwell's balance equations. The basic equation is non-local, and might replace Boltzmann's equation if the latter turns…

数学物理 · 物理学 2007-05-23 R. F. Streater

We illustrate how to extend the concept of structural stability through applying it to the front propagation speed selection problem. This consideration leads us to a renormalization group study of the problem. The study illustrates two…

凝聚态物理 · 物理学 2009-10-22 Lin-Yuan Chen , Nigel Goldenfeld , Y. Oono , Glenn Paquette

The QED renormalization is restudied by using a mass-dependent subtraction which is performed at a time-like renormalization point. The subtraction exactly respects necessary physical and mathematical requirements such as the gauge…

高能物理 - 理论 · 物理学 2008-11-26 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

In the chiral limit the complicated many-body dynamics around the second-order chiral phase transition of two-flavor QCD can be understood by appealing to universality. We present a novel formulation of the real-time functional…

高能物理 - 唯象学 · 物理学 2024-03-08 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

The one-loop renormalization of the action for a set Dirac fermions and a set of scalars spanning an arbitrary manifold coupled via Yukawa-like and gauge interactions is presented. The computation is performed with functional methods and in…

高能物理 - 唯象学 · 物理学 2018-02-21 R. Alonso , K. Kanshin , S. Saa

We investigate the stationary-state fluctuations of a growing one-dimensional interface described by the KPZ dynamics with a noise featuring smooth spatial correlations of characteristic range $\xi$. We employ Non-perturbative Functional…

统计力学 · 物理学 2017-03-21 Steven Mathey , Elisabeth Agoritsas , Thomas Kloss , Vivien Lecomte , Léonie Canet

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

高能物理 - 理论 · 物理学 2010-04-06 Jan M. Pawlowski

We consider the effects of critical superconducting fluctuations on the scaling of the linear a.c. conductivity, \sigma(\omega), of a bulk superconductor slightly above Tc in zero applied magnetic field. The dynamic renormalization- group…

超导电性 · 物理学 2009-10-31 Robert A. Wickham , Alan T. Dorsey

We explore one-point and two-point statistics of the Navier-Stokes-alpha-beta regularization model at moderate Reynolds number in homogeneous isotropic turbulence. The results are compared to the limit cases of the Navier-Stokes-alpha model…

流体动力学 · 物理学 2014-08-14 Denis F. Hinz , Tae-Yeon Kim , Eliot Fried

The real-space renormalization group technique is introduced to evaluate the effective diffusion constant for diffusion in inhomogeneous media, which has been obtained by singular perturbation methods. Our method is formulated on a…

无序系统与神经网络 · 物理学 2007-05-23 Mitsuhiro Kawasaki

Renormalization group method is one of the most powerful tool to obtain approximate solutions to differential equations. We apply the renormalization group method to Hamiltonian systems whose integrable parts linearly depend on action…

chao-dyn · 物理学 2007-05-23 Yoshiyuki Y. Yamaguchi , Yasusada Nambu
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