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We study an extreme non-static limit of 2+1-dimensional QED obtained by making a dimensional reduction so that all fields are spatially uniform but time dependent. This dimensional reduction leads to a 0+1-dimensional field theory that…

High Energy Physics - Theory · Physics 2009-10-31 Ashok Das , Gerald Dunne

We examine several zero-range potentials in non-relativistic quantum mechanics. The study of such potentials requires regularization and renormalization. We contrast physical results obtained using dimensional regularization and cutoff…

High Energy Physics - Theory · Physics 2009-10-30 Daniel R. Phillips , Silas R. Beane , Thomas D. Cohen

Burgers-Kardar-Parisi-Zhang (KPZ) scaling has recently (re-) surfaced in a variety of physical contexts, ranging from anharmonic chains to quantum systems such as open superfluids, in which a variety of random forces may be encountered…

Statistical Mechanics · Physics 2015-03-24 Philipp Strack

Control of generically scale-invariant systems, i.e., targeting specific cooperative features in non-linear stochastic interacting systems with many degrees of freedom subject to strong fluctuations and correlations that are characterized…

Statistical Mechanics · Physics 2020-02-05 Priyanka , Uwe C. Täuber , Michel Pleimling

Recently, non-perturbative approximate solutions were presented that go beyond the well-known mean-field resummation. In this work, these non-perturbative approximations are used to calculate finite temperature equilibrium properties for…

High Energy Physics - Theory · Physics 2020-04-22 Paul Romatschke

We present an analytical method, rooted in the non-perturbative renormalization group, that allows one to calculate the critical exponents and the correlation and response functions of the Kardar-Parisi-Zhang (KPZ) growth equation in all…

Statistical Mechanics · Physics 2015-05-28 Léonie Canet , Hugues Chaté , Bertrand Delamotte , Nicolás Wschebor

One-dimensional systems, such as nanowires or electrons moving along strong magnetic field lines, have peculiar thermalization physics. The binary collision of point-like particles, typically the dominant process for reaching thermal…

Atomic Physics · Physics 2024-07-10 M. Eltohfa , Xinghan Wang , Colton M. Griffin , F. Robicheaux

In this paper we introduce a randomized version of the backward Euler method, that is applicable to stiff ordinary differential equations and nonlinear evolution equations with time-irregular coefficients. In the finite-dimensional case, we…

Numerical Analysis · Mathematics 2022-05-10 Monika Eisenmann , Mihály Kovács , Raphael Kruse , Stig Larsson

We consider two possible ways, i.e., the Maxwellian Iteration and the Chapman-Enskog Method, to recover Relativistic Ordinary Thermodynamics from Relativistic Extended Thermodynamics of Polyatomic gases with N moments. Both of these methods…

Mathematical Physics · Physics 2023-10-18 F. Demontis , S. Pennisi

One of the most straightforward ways to study thermal properties beyond linear response is to monitor the relaxation of an arbitrarily large left-right temperature gradient $T_L-T_R$. In one-dimensional systems which support ballistic…

Strongly Correlated Electrons · Physics 2017-03-29 C. Karrasch

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

We introduce a model of two coupled reaction-diffusion equations to describe the dynamics and propagation of flame fronts in random media. The model incorporates heat diffusion, its dissipation, and its production through coupling to the…

Condensed Matter · Physics 2016-08-15 N. Provatas , T. Ala-Nissila , M. Grant , K. R. Elder , L. Piché

We perform direct numerical simulations of three dimensional Rayleigh-Taylor turbulence with a nonuniform singular initial temperature background. In such conditions, the mixing layer evolves under the driving of a varying effective Atwood…

Fluid Dynamics · Physics 2018-09-19 Luca Biferale , Guido Boffetta , Alexei A. Mailybaev , Andrea Scagliarini

In this paper, we investigate an inverse problem for the radiative transfer equation that is coupled with a heat equation in a nonscattering medium in $\mathbb{R}^n$, $n\geq 2$. The two equations are coupled through a nonlinear blackbody…

Analysis of PDEs · Mathematics 2020-10-12 Christian Klingenberg , Ru-Yu Lai , Qin Li

We use the $(1+1)$-dimensional Kardar-Parisi-Zhang equation driven by a Gaussian white noise and employ the dynamic renormalization-group of Yakhot and Orszag without rescaling [J.~Sci.\ Comput.~{\bf 1}, 3 (1986)]. Hence we calculate the…

Statistical Mechanics · Physics 2015-05-13 Tapas Singha , Malay K. Nandy

We study (2+1)-dimensional single step model (SSM) for crystal growth including both deposition and evaporation processes parametrized by a single control parameter $p$. Using extensive numerical simulations with a relatively high…

Statistical Mechanics · Physics 2017-07-06 H. Dashti-Naserabadi , A. A. Saberi , S. Rouhani

Infrared divergences from the exchange of dynamically screened magnetic gluons (photons) lead to the breakdown of the Fermi liquid description of the {\em normal} state of cold and dense QCD and QED. We implement a resummation of these…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Boyanovsky , H. J. de Vega

The one-dimensional Kardar-Parisi-Zhang (KPZ) equation is becoming an overarching paradigm for the scaling of nonequilibrium, spatially extended, classical and quantum systems with strong correlations. Recent analytical solutions have…

Statistical Mechanics · Physics 2022-08-31 Enrique Rodriguez-Fernandez , Silvia N. Santalla , Mario Castro , Rodolfo Cuerno

We perform a model-independent investigation of the thermodynamic evolution of the Universe by reconstructing the expansion history from observational data using Gaussian Process regression. We consider three independent combinations of…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-22 Afaq Maqsood , Tanima Duary

In this work we extend the etching model to $d+1$ dimensions. This permits us to investigate its exponents behaviour on higher dimensions, to try to verify the existence of an upper critical dimension for the KPZ equations, with our results…

Statistical Mechanics · Physics 2023-07-19 Evandro A. Rodrigues , Fernando A. Oliveira , Bernardo A. Mello