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We analyze the nonequilibrium Kondo model at finite voltage and temperature by using a new formulation of the real-time renormalization group method with the Laplace variable as the flow parameter. We evaluate the energy-dependent spin…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 Mikhail Pletyukhov , Herbert Schoeller

We analyze the renormalization of systems whose effective degrees of freedom are described in terms of fluctuations which are ``environment'' dependent. Relevant environmental parameters considered are: temperature, system size, boundary…

High Energy Physics - Theory · Physics 2015-06-26 Denjoe O'Connor , C. R. Stephens

We develop a molecular model of non-uniform deformations within the framework of liquid crystal rubber elasticity. We show that, similarly to the uniform case, the theory is not sensitive to the molecular details of polymer liquid crystal…

Condensed Matter · Physics 2009-10-28 E. M. Terentjev , M. Warner , G. C. Verwey

In this work, the out-of-equilibrium dynamics of the Kardar-Parisi-Zhang equation in (1+1) dimensions is studied by means of numerical simulations, focussing on the two-times evolution of an interface in the absence of any disordered…

Statistical Mechanics · Physics 2009-11-13 Sebastian Bustingorry

We consider dimensional crossover for an O(N) model on a d-dimensional layered geometry of thickness L, in the sigma-model limit, using ``environmentally friendly'' renormalization. We show how to derive critical temperature shifts, giving…

Statistical Mechanics · Physics 2007-05-23 Denjoe O'Connor , C. R. Stephens , J. A. Santiago

A relatively simple and physically transparent model based on quantum percolation and dephasing is employed to construct a global phase diagram which encodes and unifies the critical physics of the quantum Hall, "two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yonatan Dubi , Yigal Meir , Yshai Avishai

We investigate dynamics of large scale and slow deformations of layered structures. Starting from the respective model equations for a non-conserved system, a conserved system and a binary fluid, we derive the interface equations which are…

Soft Condensed Matter · Physics 2009-10-30 Takao Ohta , David Jasnow

We present a method to calculate short-time non-equilibrium universal exponents within the functional renormalization-group scheme. As an example, we consider the classical critical dynamics of the relaxational model A after a quench of the…

Statistical Mechanics · Physics 2016-11-10 Alessio Chiocchetta , Andrea Gambassi , Sebastian Diehl , Jamir Marino

The depinning of an elastic line in a random medium is studied via an extremal model. The latter gives access to the instantaneous depinning force for each successive conformation of the line. Based on conditional statistics the universal…

Condensed Matter · Physics 2009-11-10 Damien Vandembroucq , Rune Skoe , Stephane Roux

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

Other Condensed Matter · Physics 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik

Closed quantum systems far from thermal equilibrium can show universal dynamics near attractor solutions, known as non-thermal fixed points, generically in the form of scaling behavior in space and time. A systematic classification and…

Quantum Gases · Physics 2025-04-21 Aleksandr N. Mikheev , Ido Siovitz , Thomas Gasenzer

With Monte Carlo simulations, the nonsteady dynamics properties of a domain wall have been systematically investigated for the thermally activated creep state under an alternating driving field. Taking the driven random-field Ising model in…

Statistical Mechanics · Physics 2014-07-11 N. J. Zhou , B. Zheng

Driven elastic manifolds in random media exhibit a depinning transition to a state with non-vanishing velocity at a critical driving force. We study the depinning of stiff directed lines, which are governed by a bending rigidity rather than…

Statistical Mechanics · Physics 2015-05-12 Horst-Holger Boltz , Jan Kierfeld

Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors, the dynamics of a border connecting a stripe pattern and a uniform state is studied. Numerical simulations of a prototype isotropic model, the subcritical…

Pattern Formation and Solitons · Physics 2008-06-05 Marcel G. Clerc , Daniel Escaff , Rene Rojas

The nonequilibrium process in dislocation dynamics and its relaxation to the metastable transition profile is crucial for understanding the plastic deformation caused by line defects in materials. In this paper, we consider the full…

Analysis of PDEs · Mathematics 2022-01-07 Yuan Gao , Jean-Michel Roquejoffre

We employ a functional renormalization group to study interfaces in the presence of a pinning potential in $d=4-\epsilon$ dimensions. In contrast to a previous approach [D.S. Fisher, Phys. Rev. Lett. {\bf 56}, 1964 (1986)] we use a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Stefan Scheidl , Yusuf Dincer

In a one-dimensional elastic medium with finite correlation length and purely relaxational dynamics, we calculate the time dependence of the elastic force F(t) exchanged between two active inclusions that trigger an elastic deformation at…

Statistical Mechanics · Physics 2015-06-16 Jean-Baptiste Fournier , Kévin Sin Ronia

We study the stationary properties of the two-dimensional pair contact process, a nonequilibrium lattice model exhibiting a phase transition to an absorbing state with an infinite number of configurations. The critical probability and…

Statistical Mechanics · Physics 2009-10-31 Jafferson Kamphorst Leal da Silva , Ronald Dickman

By performing a high-statistics simulation of the $D=4$ random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high…

Disordered Systems and Neural Networks · Physics 2016-06-07 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

We consider the one-dimensional Glauber dynamics with coupling disorder in terms of bilinear fermion Hamiltonians. Dynamic exponents embodied in the spectrum gap of these latter are evaluated numerically by averaging over both binary and…

Statistical Mechanics · Physics 2013-06-06 Marcelo D. Grynberg , Robin B. Stinchcombe
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