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The Kardar-Parisi-Zhang (KPZ) equation describes a wide range of growth-like phenomena, with applications in physics, chemistry and biology. There are three central questions in the study of KPZ growth: the determination of height…

Statistical Mechanics · Physics 2024-03-25 Márcio S. Gomes-Filho , Pablo de Castro , Danilo B. Liarte , Fernando A. Oliveira

One of the main applications of free probability is to show that for appropriately chosen independent copies of $d$ random matrix models, any noncommutative polynomial in these $d$ variables has a spectral distribution that converges…

Operator Algebras · Mathematics 2023-10-25 Benoît Collins , Tobias Mai , Akihiro Miyagawa , Félix Parraud , Sheng Yin

Transport or kinetic equations are often derived assuming a quasi-particle (on-shell) representation of the spectral function. We investigate this assumption using a three-loop approximation of the 2PI effective action in real time, without…

High Energy Physics - Phenomenology · Physics 2010-02-04 G. Aarts , J. Berges

Over the past years our understanding of the scaling properties of the solutions to the one-dimensional KPZ equation has advanced considerably, both theoretically and experimentally. In our contribution we export these insights to the case…

Statistical Mechanics · Physics 2016-10-24 Patrik L. Ferrari , Tomohiro Sasamoto , Herbert Spohn

We study well-posedness and long-time dynamics of a class of quasilinear wave equations with a strong damping. We accept the Kirchhoff hypotheses and assume that the stiffness and damping coefficients are $C^1$ functions of the $L_2$-norm…

Analysis of PDEs · Mathematics 2011-01-13 Igor Chueshov

We apply kinetic field theory to non-linear cosmic structure formation. Kinetic field theory decomposes the cosmic density field into particles and follows their trajectories through phase space. We assume that initial particle momenta are…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-24 Sara Konrad , Matthias Bartelmann

By considering a thermodynamic force as gauge field, we extend constitutive equations of Onsager's non-equilibrium thermodynamics to non-linear equations. In Onsager's non-equilibrium thermodynamics, the thermodynamic force corresponds to a…

Statistical Mechanics · Physics 2018-11-15 So Katagiri

The article presents new model of equilibrium in open chemical systems suggesting a linear dependence of the reaction shift from equilibrium in presence of the external thermodynamic force. Basic equation of this model contains traditional…

Chemical Physics · Physics 2007-05-23 B. Zilbergleyt

The self-energy functional theory (SFT) is generalized to describe the real-time dynamics of correlated lattice-fermion models far from thermal equilibrium. This is achieved by means of a reformulation of the original equilibrium theory in…

Strongly Correlated Electrons · Physics 2013-10-21 Felix Hofmann , Martin Eckstein , Enrico Arrigoni , Michael Potthoff

A non-equilibrium steady state can be characterized by a nonzero but stationary flux driven by a static external force. Under a weak external force, the drift velocity is difficult to detect because the drift motion is feeble and submerged…

Statistical Mechanics · Physics 2015-06-22 Rui Shi , Yanting Wang

The standard model of classical Density Functional Theory for pair potentials consists of a hard-sphere functional plus a mean-field term accounting for long ranged attraction. However, most implementations using sophisticated Fundamental…

Computational Physics · Physics 2021-01-04 James F. Lutsko , Cédric Schoonen

The quantum potential is shown to result from the presence of a subtle thermal vacuum energy distributed across the whole domain of an experimental setup. Explicitly, its form is demonstrated to be exactly identical to the heat distribution…

Quantum Physics · Physics 2009-02-23 Gerhard Groessing

We provide a thermodynamically consistent description of energy, charge and spin transfers in a thermoelectric quantum-dot spin valve in the collinear configuration based on nonequilibrium Green's function and full counting statistics. We…

Mesoscale and Nanoscale Physics · Physics 2018-04-27 Gaomin Tang , Juzar Thingna , Jian Wang

We develop an exact quantum thermodynamic description for a noninteracting nanoscale steady state that couples strongly with multiple reservoirs. It is demonstrated that there exists a steady-state extension of the thermodynamic function…

Mesoscale and Nanoscale Physics · Physics 2018-04-05 Nobuhiko Taniguchi

In earlier work, we have developed a Kinetic Field Theory (KFT) for cosmological structure formation and showed that the non-linear density-fluctuation power spectrum known from numerical simulations can be reproduced quite well even if…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-13 Matthias Bartelmann , Felix Fabis , Elena Kozlikin , Robert Lilow , Johannes Dombrowski , Julius Mildenberger

The authors present a study of the non equilibrium statistical properties of a one dimensional hard-rod fluid dissipating energy via inelastic collisions and subject to the action of a Gaussian heat bath, simulating an external driving…

Materials Science · Physics 2009-11-13 Umberto Marini-Bettolo-Marconi , Pedro Tarazona , Fabio Cecconi

We introduce an information free energy for thermodynamic systems driven by external time-dependent parameters. We show that the latter is a nonequilibrium state function and that it is a natural generalization of the usual equilibrium and…

Statistical Mechanics · Physics 2012-01-19 Sebastian Deffner , Eric Lutz

In this letter, we determine the $\kappa$-distribution function for a gas in the presence of an external field of force described by a potential U(${\bf r}$). In the case of a dilute gas, we show that the $\kappa$-power law distribution…

Astrophysics · Physics 2009-11-13 J. M. Silva , R. Silva , J. A. S. Lima

On the basis of the Kadanoff-Baym (KB) varient of the time dependent Green's function method a new ansatz for the approximation of a spectral function is offered. The ansatz possesses all the advantages of quasiparticle (QP) and extended…

Statistical Mechanics · Physics 2009-11-13 M. Arshad , A. S. Kondratyev , Imran Siddique

The deterministic KPZ equation has been recently formulated as a gradient flow, in a nonequilibrium potential (NEP) \[\Phi[h(\mathbf{x},t)]=\int\mathrm{d}\mathbf{x}\left[\frac{\nu}{2}(\nabla…

Statistical Mechanics · Physics 2015-11-13 Horacio S Wio , Miguel A Rodríguez , R Gallego , Roberto R Deza , Jorge A Revelli
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