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We study the fluctuations of the autocorrelation and autoresponse functions and, in particular, their variances and co-variance. In a first general part of the Article, we show the equivalence of the variance of the response function with…

Statistical Mechanics · Physics 2015-05-18 Federico Corberi , Eugenio Lippiello , Alessandro Sarracino , Marco Zannetti

We report simulations of a continuum model for (apolar, flow aligning) active fluids in two dimensions. Both free and anchored boundary conditions are considered, at parallel confining walls that are either static or moving at fixed…

Soft Condensed Matter · Physics 2015-05-20 S. M. Fielding , D. Marenduzzo , M. E. Cates

Nanoscale fluid transport is typically pictured in terms of atomic-scale dynamics, as is natural in the real-space framework of molecular simulations. An alternative Fourier-space picture, that involves the collective charge fluctuation…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Baptiste Coquinot , Maximilian Becker , Roland R. Netz , Lydéric Bocquet , Nikita Kavokine

Jammed granular media and glasses exhibit spatial long-range correlations as a result of mechanical equilibrium. However, the existence of such correlations in the flowing matter, where the mechanical equilibrium is unattainable, has…

Soft Condensed Matter · Physics 2023-08-01 Hor Dashti , Abbas Ali Saberi , S. H. E. Rahbari , Jürgen Kurths

The electrical properties of a two-dimensional packing of metallic beads are studied. Small mechanical perturbations of the packing leads to giant electrical fluctuations. Fluctuations are found to be non-gaussian and seem to belong to Levy…

Statistical Mechanics · Physics 2009-10-31 N. Vandewalle , C. Lenaerts , S. Dorbolo

We analyse the flow curves of a two-dimensional assembly of granular particles which are interacting via frictional contact forces. For packing fractions slightly below jamming, the fluid undergoes a large scale instability, implying a…

Soft Condensed Matter · Physics 2020-01-22 Shibu Saw , Mathias Grob , Annette Zippelius , Claus Heussinger

The article provides a unitary and complete solution to the fluctuation-dissipation relations for particle hydromechanics in a generic fluid, accounting for the hydrodynamic fluid-particle interactions (including arbitrary memory kernels in…

Statistical Mechanics · Physics 2024-12-30 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti

A quantitative theory of the buckling of a worm like chain based on a semi-classical approximation of the partition function is presented. The contribution of thermal fluctuations to the force-extension relation that allows to go beyond the…

Soft Condensed Matter · Physics 2016-08-14 Marc Emanuel , Hervé Mohrbach , Mehmet Sayar , Helmut Schiessel , Igor M. Kulić

How finite-sized material lines stretch in chaotic (mono-scale) and turbulent (multi-scale) flows remains a central but unresolved problem that governs mixing, transport and reaction. We show elongation is controlled by a finite-sampling…

Fluid Dynamics · Physics 2026-04-21 Daniel Lester , Marco Dentz

We consider the interaction between two rods embedded in a fluctuating surface. The modification of fluctuations by the rods leads to an attractive long-range interaction between them. We consider fluctuations governed by either surface…

Condensed Matter · Physics 2009-10-28 Ramin Golestanian , Mark Goulian , Mehran Kardar

Understanding the dynamics of material objects advected by turbulent flows is a long standing question in fluid dynamics. In this perspective article we focus on the characterization of the statistical properties of non-interacting…

Fluid Dynamics · Physics 2024-03-18 Yaning Fan , Cheng Wang , Linfeng Jiang , Chao Sun , Enrico Calzavarini

The stretching of a polymer chain by a large scale chaotic flow is considered. The steady state which emerges as a balance of the turbulent stretching and anharmonic resistance of the chain is quantitatively described, i.e. the dependency…

chao-dyn · Physics 2009-10-31 Michael Chertkov

Correlations of friction factors are presented for the general case of purely viscous non-Newtonian fluids without requiring a priori the adoption of a rheological model. They are based on an empirical estimate of the shift in the wall…

Fluid Dynamics · Physics 2010-09-07 Khanh Tuoc Trinh

We describe a numerical investigation of a continuum model of an active nematic, concentrating on the regime of active turbulence. Results are presented for the effect of three parameters, activity, elastic constant and rotational diffusion…

Soft Condensed Matter · Physics 2015-06-18 Sumesh P. Thampi , Ramin Golestanian , Julia M. Yeomans

Laminar-turbulent pattern formation is a distinctive feature of the intermittency regime in subcritical plane shear flows. By performing extensive numerical simulations of the plane channel flow, we show that the pattern emerges from a…

Fluid Dynamics · Physics 2022-12-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

We analyse a mechanical system in two-dimensional relative motion with friction. Although the system is simple, the peculiar interplay between two kinetic friction forces and gravity leads to the wide range of admissible solutions exceeding…

Physics Education · Physics 2007-05-23 Dariusz Grech , Zygmunt Mazur

We establish a fluctuation-correlation theorem by relating the quantum fluctuations in the generator of the parameter change to the time integral of the quantum correlation function between the projection operator and force operator of the…

Quantum Physics · Physics 2009-10-31 Arun K. Pati

Observing finite regions of a bigger system is a common experience, from microscopy to molecular simulations. In the latter especially, there is ongoing interest in predicting thermodynamic properties from tracking fluctuations in finite…

Soft Condensed Matter · Physics 2023-02-08 Thê Hoang Ngoc Minh , Benjamin Rotenberg , Sophie Marbach

Fluctuations in nuclear collisions can be measured as a function of momentum-space binning scale over a scale interval bounded by detector two-track resolution and acceptance. Fluctuation scale dependence is related to two-particle…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. A. Trainor , R. J. Porter , D. J. Prindle

We consider the effect of volume fluctuations on cumulants of the net baryon number. Based on a general formalism, we derive universal expressions for the net baryon number cumulants in the presence of volume fluctuations with an arbitrary…

High Energy Physics - Phenomenology · Physics 2016-03-03 V. Skokov , B. Friman , K. Redlich