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A perturbative renormalization group method is used to obtain steady-state density profiles of a particle non-conserving asymmetric simple exclusion process. This method allows us to obtain a globally valid solution for the density profile…

统计力学 · 物理学 2017-04-05 Sutapa Mukherji

The renormalization group method is a successive integration over the fluctuations which are ordered according to their length scale, a parameter in the external space. A different procedure is described, where the fluctuations are treated…

高能物理 - 理论 · 物理学 2007-05-23 Jean Alexandre , Janos Polonyi

The chiral nucleon-meson model, previously applied to systems with equal number of neutrons and protons, is extended to asymmetric nuclear matter. Fluctuations are included in the framework of the functional renormalization group. The…

核理论 · 物理学 2014-12-25 Matthias Drews , Wolfram Weise

The field theoretic renormalization group is applied to a simple model of random walk on a rough fluctuating surface. We consider the Fokker--Planck equation for a particle in a uniform gravitational field. The surface is modelled by the…

统计力学 · 物理学 2023-03-10 N. V. Antonov , N. M. Gulitskiy , P. I. Kakin , D. A. Kerbitskiy

Extending the usual Ginzburg-Landau theory for the random-field Ising model, the possibility of dimensional reduction is reconsidered. A renormalization group for the probability distribution of magnetic impurities is applied. New…

统计力学 · 物理学 2014-04-15 Hisamitsu Mukaida , Yoshinori Sakamoto

The renormalization group method is applied to the study of homogeneous and flat Friedmann-Robertson-Walker type Universes, filled with a causal bulk viscous cosmological fluid. The starting point of the study is the consideration of the…

广义相对论与量子宇宙学 · 物理学 2009-09-25 J. A. Belinchon , T. Harko , M. K. Mak

A short-distance heavy quark mass depends on two parameters, the renormalization scale mu controlling the absorption of ultraviolet fluctuations into the mass, and a scale R controlling the absorption of infrared fluctuations. 1/R can be…

高能物理 - 唯象学 · 物理学 2008-11-26 Andre H. Hoang , Ambar Jain , Ignazio Scimemi , Iain W. Stewart

Based on the Renormalization Group method, a reduction of non integrable multi-dimensional hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density, and for the…

加速器物理 · 物理学 2008-11-26 Stephan I. Tzenov

We show that information on the probability density of local fluctuations can be obtained from a numerical renormalisation group calculation of a reduced density matrix. We apply this approach to the Anderson-Holstein impurity model to…

强关联电子 · 物理学 2010-05-18 Alex C. Hewson , Johannes Bauer

A simple example of a non-equilibrium system for which fluctuations are important is a system of particles which diffuse and may annihilate in pairs on contact. The renormalization group can be used to calculate the time dependence of the…

统计力学 · 物理学 2007-05-23 Daniel C. Vernon

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

The renormalization group flow is presented for the two-dimensional sine-Gordon model within the framework of the functional renormalization group method by including the wave-function renormalization constant. The…

高能物理 - 理论 · 物理学 2010-04-14 S. Nagy , I. Nandori , J. Polonyi , K. Sailer

The randomly pinned planar flux line array is supposed to show a phase transition to a vortex glass phase at low temperatures. This transition has been examined by using a mapping onto a 2D XY-model with random an\-iso\-tropy but without…

凝聚态物理 · 物理学 2016-08-31 Jan Kierfeld

We extend the Hertz-Millis theory of quantum phase transitions in itinerant electron systems to phases with broken discrete symmetry. Using a set of coupled flow equations derived within the functional renormalization group framework, we…

强关联电子 · 物理学 2009-11-13 P. Jakubczyk , P. Strack , A. A. Katanin , W. Metzner

The similarity renormalization group procedure formulated in terms of effective particles is briefly reviewed in a series of selected examples that range from the model matrix estimates of its numerical accuracy to issues of the Poincare…

高能物理 - 理论 · 物理学 2007-05-23 Stanislaw D. Glazek

Schr\"odinger equation with potential $-g/r^2$ exhibits a limit cycle, described in the literature in a broad range of contexts using various regularizations of the singularity at $r=0$. Instead, we use the renormalization group…

We continue the study of the effective action for low $x$ physics based on a Wilson renormalization group approach. We express the full nonlinear renormalization group equation in terms of the average value and the average fluctuation of…

高能物理 - 唯象学 · 物理学 2009-10-30 Jamal Jalilian - Marian , Alex Kovner , Andrei Leonidov , Heribert Weigert

The non-perturbative renormalization-group approach is extended to lattice models, considering as an example a $\phi^4$ theory defined on a $d$-dimensional hypercubic lattice. Within a simple approximation for the effective action, we solve…

统计力学 · 物理学 2009-03-02 N. Dupuis , K. Sengupta

In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic…

chao-dyn · 物理学 2009-10-22 J. Bricmont , A. Kupiainen

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
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