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In this note, we study two-point correlation functions of modular Hamiltonians. We show that in general quantum systems, these correlators obey properties similar to those of von Neumann entropy and capacity of entanglement, both of which…

High Energy Physics - Theory · Physics 2025-06-13 Mathew W. Bub , Allic Sivaramakrishnan

For a conformally-coupled scalar field we obtain the conformally-related Einstein-Langevin equations, using appropriate transformations for all the quantities in the equations between two conformally-related spacetimes. In particular, we…

General Relativity and Quantum Cosmology · Physics 2016-09-14 Seema Satin , H. T. Cho , Bei Lok Hu

We present an extension of the semiclassical Einstein equations which couples n-point correlation functions of a stochastic Einstein tensor to the n-point functions of the quantum stress-energy tensor. We apply this extension to calculate…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Nicola Pinamonti , Daniel Siemssen

Starting from the Boltzmann equation in the relaxation time approximation and employing a Chapman-Enskog like expansion for the distribution function close to equilibrium, we derive second-order evolution equations for the shear stress…

Nuclear Theory · Physics 2015-11-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

A relation between equilibrium, steady-state, and waiting-time dependent dynamical two-time correlation functions in dense glass-forming liquids subject to homogeneous steady shear flow is discussed. The systems under study show pronounced…

Soft Condensed Matter · Physics 2015-05-18 Matthias Krüger , Fabian Weysser , Thomas Voigtmann

The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rosario Martin , Enric Verdaguer

Motivated by mixing processes in analytical laboratories, this work investigates enhanced dissipation in non-autonomous flows. We study the evolution of concentrations governed by the advection-diffusion equation, where the velocity field…

Analysis of PDEs · Mathematics 2025-09-04 Johannes Benthaus , Camilla Nobili

We discuss corrections to the ratio of shear viscosity to entropy density $\eta/s$ in higher-derivative gravity theories. Generically, these theories contain ghost modes with Planck-scale masses. Motivated by general considerations about…

High Energy Physics - Theory · Physics 2011-07-26 Ram Brustein , A. J. M. Medved

We study the quantum stress tensor correlation function for a massless scalar field in a flat two-dimensional spacetime containing a moving mirror. We construct the correlation functions for right-moving and left-moving fluxes for an…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. H. Ford , Thomas A. Roman

We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

I study the evolution of mean field and linear quantum fluctuations in a toroidal Bose-Einstein condensate, whose interaction strength is quenched from a finite (repulsive) value to zero. The azimuthal equal-time density-density correlation…

Quantum Gases · Physics 2010-10-06 Michael Uhlmann

Using high-speed confocal microscopy, we measure the particle positions in a colloidal suspension under large amplitude oscillatory shear. Using the particle positions we quantify the in situ anisotropy of the pair-correlation function -- a…

Soft Condensed Matter · Physics 2015-06-16 Neil Y. C Lin , Sushmit Goyal , Xiang Cheng , Roseanna N. Zia , Fernando Escobedo , Itai Cohen

We study consequences of gauge invariance and charge conservation of an electron gas in a strong random potential perturbed by a weak electromagnetic field. We use quantum equations of motion and Ward identities for one- and two-particle…

Disordered Systems and Neural Networks · Physics 2008-09-16 V. Janis , J. Kolorenc , V. Spicka

The dynamics of two Brownian particles trapped by two neighboring harmonic potentials in a linear shear flow is investigated. The positional correlation functions in this system are calculated analytically and analyzed as a function of the…

Soft Condensed Matter · Physics 2010-09-08 Jochen Bammert , Lukas Holzer , Walter Zimmermann

The magnetorotational instability (MRI) is a shear instability and thus its sensitivity to the shear parameter $q = - d\ln\Omega/d\ln r $ is of interest to investigate. Motivated by astrophysical disks, most (but not all) previous MRI…

Solar and Stellar Astrophysics · Physics 2015-06-22 Farrukh Nauman , Eric G. Blackman

We exactly calculate two-point spatial correlation functions in steady state in a broad class of conserved-mass transport processes, which are governed by chipping, diffusion and coalescence of masses. We find that the spatial correlations…

Statistical Mechanics · Physics 2016-06-28 Arghya Das , Sayani Chatterjee , Punyabrata Pradhan

For the constant-stress layer of wall turbulence, two-point correlations of velocity fluctuations are studied theoretically by using the attached-eddy hypothesis, i.e., a phenomenological model of a random superposition of energy-containing…

Fluid Dynamics · Physics 2017-06-23 H. Mouri

We study the effect of pre-collisional velocity correlations on granular shear flow by molecular dynamics simulations of the inelastic hard sphere system. Comparison of the simulations with the kinetic theory reveals that the theory…

Statistical Mechanics · Physics 2015-06-25 Namiko Mitarai , Hiizu Nakanishi

We reconsider, from a novel perspective, how unitarity constrains the corrections to the ratio of shear viscosity \eta\ to entropy density s. We start with higher-derivative extensions of Einstein gravity in asymptotically anti-de Sitter…

High Energy Physics - Theory · Physics 2015-05-30 Ram Brustein , A. J. M. Medved

We measure the intensity correlation function of two interfering spatially displaced copies of a phase fluctuating Bose-Einstein Condensate (BEC). It is shown that this corresponds to a measurement of the phase correlation properties of the…

Soft Condensed Matter · Physics 2009-11-10 D. Hellweg , L. Cacciapuoti , M. Kottke , T. Schulte , K. Sengstock , W. Ertmer , J. J. Arlt
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