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We show that the momentum distribution of a nonlinear matter wave suddenly released with a finite velocity in a speckle potential converges, after an out-of-equilibrium evolution, to a universal Rayleigh-Jeans thermal distribution. By…

Disordered Systems and Neural Networks · Physics 2015-12-16 Nicolas Cherroret , Tomasz Karpiuk , Benoît Grémaud , Christian Miniatura

We consider a spin imbalanced Fermi gas at zero temperature in the normal phase on the BCS side of the BCS-BEC crossover and around unitarity. We compute the critical polarization for pairing, the correlated occupation numbers and the…

Quantum Gases · Physics 2020-01-10 David Durel , Michael Urban

In the study on nonlinear wave-wave processes in an ionosphere and a magnetosphere usually the main attention is paid to investigation of plasma turbulence at well developed stage, when the wide spectrum of plasma wave is present. On the…

Plasma Physics · Physics 2009-11-13 A. S. Volokitin , B. Atamaniuk

We analytically study the inelastic lifetime of quasiparticles due to particle-particle interactions in a three-dimensional Fermi liquid approaching a density-wave instability. Using the G$_0$W approximation, we find that the softening of…

Strongly Correlated Electrons · Physics 2024-08-13 Iran Seydi , Saeed H. Abedinpour , Reza Asgari , B. Tanatar

We study fermions on a finite chain, interacting repulsively when residing on the same and on nearest-neighbor sites, and subjected to a Wannier-Stark linearly-varying potential. Using the density matrix renormalization-group numerical…

Strongly Correlated Electrons · Physics 2023-10-06 N. Aucar Boidi , K. Hallberg , A. Aharony , O. Entin-Wohlman

We use the renormalization group method to study the normal state of quasi-one-dimensional superconductors nearby a spin-density-wave instability. On the basis of one-loop scattering amplitudes for the quasi-one-dimensional electron gas,…

Strongly Correlated Electrons · Physics 2012-08-27 A. Sedeki , D. Bergeron , and C. Bourbonnais

The diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) lattice is an infinite chain of alternating particles connected by identical nonlinear springs. We prove the existence of micropteron traveling waves in the diatomic FPUT lattice in the limit as…

Analysis of PDEs · Mathematics 2020-06-24 Timothy E. Faver , Hermen Jan Hupkes

The origin of the Fermi bubbles and the microwave haze is yet to be determined. To disentangle different models requires detailed comparisons between theoretical predictions and multi-wavelength observations. Our previous simulations have…

Astrophysics of Galaxies · Physics 2013-10-30 H. -Y. K. Yang , M. Ruszkowski , E. Zweibel

We consider a diatomic infinite Fermi-Pasta-Ulam (FPU) system with light and heavy particles. For a small mass ratio, we prove error estimates for the approximation of the dynamics of this system by the dynamics of the monoatomic FPU…

Exactly Solvable and Integrable Systems · Physics 2020-03-03 Dmitry E. Pelinovsky , Guido Schneider

We study the dynamics of the "externally" forced and damped Fermi-Pasta-Ulam (FPU) 1D lattice. The forcing has the spatial symmetry of the Fourier mode with wavenumber p and oscillates sinusoidally in time with the frequency omega. When…

Pattern Formation and Solitons · Physics 2009-11-07 Ramaz Khomeriki , Stefano Lepri , Stefano Ruffo

We study the use of the Evans Nonequilibrium Molecular Dynamics (NEMD) heat flow algorithm for the computation of the heat conductivity in one-dimensional lattices. For the well-known Fermi-Pasta-Ulam (FPU) model, it is shown that when the…

chao-dyn · Physics 2009-10-31 Fei Zhang , Dennis J. Isbister , Denis J. Evans

We theoretically investigate the polaron physics of an impurity immersed in a two-dimensional Fermi sea, interacting via a p-wave interaction at finite temperature. In the unitary limit with a divergent scattering area, we find a…

Quantum Gases · Physics 2023-11-20 Hui Hu , Jia Wang , Xia-Ji Liu

We analyze synchronization of relaxation oscillations in multiple-timescale reaction-diffusion systems. Interpreting synchronization as convergence to frequency-synchronized wave-train solutions, we resolve for the first time the case of…

Analysis of PDEs · Mathematics 2026-01-12 Montie Avery , Paul Carter , Björn de Rijk , Arnd Scheel

This is a companion paper to cond-mat/9907130. Using the method of continuous renormalization group around the Fermi surface and the results of cond-mat/9907130, we achieve the proof that a two-dimensional jellium interacting system of…

Superconductivity · Physics 2009-10-31 M. Disertori , V. Rivasseau

We study the equilibrium time correlations for the conserved fields of classical anharmonic chains and argue that their dynamic correlator can be predicted on the basis of nonlinear fluctuating hydrodynamics. In fact our scheme is more…

Statistical Mechanics · Physics 2013-12-10 Christian B. Mendl , Herbert Spohn

In the present work we study the Fermi--Pasta--Ulam (FPU) $\beta $--model involving long--range interactions (LRI) in both the quadratic and quartic potentials, by introducing two independent exponents $\alpha_1$ and $\alpha_2$…

Chaotic Dynamics · Physics 2017-01-04 Helen Christodoulidi , Tassos Bountis , Constantino Tsallis , Lambros Drossos

Heat conduction in three-dimensional nonlinear lattices is investigated using a particle dynamics simulation. The system is a simple three-dimensional extension of the Fermi-Pasta-Ulam $\beta$ (FPU-$\beta$) nonlinear lattices, in which the…

Statistical Mechanics · Physics 2010-04-07 Hayato Shiba , Satoshi Yukawa , Nobuyasu Ito

Using the method of continuous renormalization group around the Fermi surface, we prove that a two-dimensional jellium interacting system of Fermions at low temperature T is a Fermi liquid (analytic in the coupling constant g) for g <…

Superconductivity · Physics 2009-10-31 M. Disertori , V. Rivasseau

One-dimensional nonlinear phononic crystals have been assembled from periodic diatomic chains of stainless steel cylinders alternated with Polytetrafluoroethylene (PTFE) spheres. We report the presence of acoustic band gaps in the…

Soft Condensed Matter · Physics 2008-06-27 E. B. Herbold , J. Kim , V. F. Nesterenko , S. Wang , C. Daraio

A one dimensional experiment in granular dynamics is carried out to test the thermodynamic theory of weakly excited granular systems [Hayakawa and Hong, Phys. Rev. Lett. 78, 2764(1997)] where granular particles are treated as spinless…

Statistical Mechanics · Physics 2009-09-29 Holly M. Kokstein , Paul V. Quinn
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