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A procedure is presented to map from the spatial correlation parameters of a turbulent density field (the radial and binormal correlation lengths and wavenumbers, and the fluctuation amplitude) to correlation parameters that would be…

Plasma Physics · Physics 2017-04-05 M. F. J. Fox , A. R. Field , F. van Wyk , Y. -c. Ghim , A. A. Schekochihin , the MAST Team

The paper describes a study of wet foams in microgravity whose bubble size distribution evolves due to diffusive gas exchange. We focus on the comparison between the size of bubbles determined from images of the foam surface and the size of…

We analyze density-density correlations of expanding clouds of weakly interacting two-dimensional Bose gases below and above the Berezinskii-Kosterlitz-Thouless transition, with particular focus on short-time expansions. During…

Quantum Gases · Physics 2014-05-13 Vijay Pal Singh , Ludwig Mathey

The box-ball system (BBS) is a soliton cellular automaton introduced in [TS], and it is known that the dynamics of the BBS can be linearized by several methods. Recently, a new linearization method, called the seat number configuration, is…

Combinatorics · Mathematics 2025-05-07 Hayate Suda

We study the large deviations of the time-integrated current for a driven diffusion on the circle, often used as a model of nonequilibrium systems. We obtain the large deviation functions describing the current fluctuations using a…

Statistical Mechanics · Physics 2016-09-28 Pelerine Tsobgni Nyawo , Hugo Touchette

Particle fluctuations in mesoscopic Bose systems of arbitrary spatial dimensionality are considered. Both ideal Bose gases and interacting Bose systems are studied in the regions above the Bose-Einstein condensation temperature $T_c$ as…

Quantum Gases · Physics 2019-05-14 V. I. Yukalov

Hanbury Brown and Twiss (HBT) correlations, i.e. correlations in far-field intensity fluctuations, yield fundamental information on the quantum statistics of light sources, as highlighted after the discovery of photon bunching. Drawing on…

We analyze the equilibrium fluctuations of the density, current and tagged particle in symmetric exclusion with a slow bond. The system evolves in the one-dimensional lattice and the jump rate is everywhere equal to one except at the slow…

Probability · Mathematics 2013-11-28 Tertuliano Franco , Patricia Gonçalves , Adriana Neumann

We conjecture an exact expression for the large deviation function of the stationary state current in the partially asymmetric exclusion process with periodic boundary conditions. This expression is checked for small systems using…

Statistical Mechanics · Physics 2009-07-31 Sylvain Prolhac

We study the BS model, which is a one-dimensional lattice field theory taking real values. Its dynamics is governed by coupled differential equations plus random nearest neighbor exchanges. The BS model has exactly two locally conserved…

Statistical Mechanics · Physics 2015-06-23 Herbert Spohn , Gabriel Stoltz

A paradigm for isothermal, mechanical rectification of stochastic fluctuations is introduced in this paper. The central idea is to transform energy injected by random perturbations into rigid-body rotational kinetic energy. The prototype…

Probability · Mathematics 2007-10-18 Nawaf Bou-Rabee , Houman Owhadi

The ground-state correlation properties of a one-dimensional Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. The pair distribution function, static structure factor,…

Condensed Matter · Physics 2009-11-07 G. E. Astrakharchik , S. Giorgini

We show how to apply the macroscopic fluctuation theory (MFT) of Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim to study the current fluctuations of diffusive systems with a step initial condition. We argue that one has to…

Statistical Mechanics · Physics 2015-05-13 B. Derrida , A. Gerschenfeld

We obtain the exact generalised hydrodynamics for the integrable Toda system. The Toda system can be seen in a dual way, both as a gas and as a chain. In the gas point of view, using the elastic and factorised scattering of Toda particles,…

Statistical Mechanics · Physics 2019-08-20 Benjamin Doyon

Quantum fluctuations in time-dependent, harmonically-trapped Bose-Einstein condensates are studied within Bogoliubov theory. An eigenmode expansion of the linear field operators permits the diagonalization of the Bogoliubov-de Gennes…

Other Condensed Matter · Physics 2009-03-04 Michael Uhlmann

Working within the Nonequilibrium Green's Function (NEGF) formalism, a formula for the two-time current correlation function is derived for the case of transport through a nanojunction in response to an arbitrary time-dependent bias. The…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Michael Ridley , Angus MacKinnon , Lev Kantorovich

The current-current correlation function is a useful concept in the theory of electron transport in homogeneous solids. The finite-temperature conductivity tensor as well as Anderson's localization length can be computed entirely from this…

Disordered Systems and Neural Networks · Physics 2016-02-23 Emil Prodan , Jean Bellissard

We consider the current correlation function for a three-dimensional system of fermions embedded in a homogeneous background and mutually interacting via an attractive short-range potential, below the (superconducting) critical temperature.…

Superconductivity · Physics 2009-11-10 N. Andrenacci , P. Pieri , G. C. Strinati

A totally asymmetric exclusion process consisting of classical particles with next-nearest-neighbor interactions has been considered on a 1D discrete lattice with a ring geometry. Using large deviation techniques, we have investigated…

Statistical Mechanics · Physics 2020-01-29 Sara Kaviani , Farhad H. Jafarpour

Quantum integrable systems, such as the interacting Bose gas in one dimension and the XXZ quantum spin chain, have an extensive number of local conserved quantities that endow them with exotic thermalization and transport properties. We…

Statistical Mechanics · Physics 2018-02-21 Vir B. Bulchandani , Romain Vasseur , Christoph Karrasch , Joel E. Moore
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