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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

We study the dynamics of the fluctuations of the variance $s$ of the order parameter of the Gaussian model, following a temperature quench of the thermal bath. At each time $t$, there is a critical value $s_c(t)$ of $s$ such that…

Statistical Mechanics · Physics 2020-09-11 Federico Corberi , Onofrio Mazzarisi , Andrea Gambassi

We study analytically giant fluctuations and temporal intermittency in a stochastic one-dimensional model with diffusion and aggregation of masses in the bulk, along with influx of single particles and outflux of aggregates at the…

Statistical Mechanics · Physics 2015-06-17 Himani Sachdeva , Mustansir Barma

We experimentally investigate the statistical behaviour of a model two-dimensional granular system undergoing stationary sedimentation. Buoyant cylindrical particles are rotated in liquid-filled drum, thus confined in a harmonic centripetal…

Soft Condensed Matter · Physics 2019-05-01 Nariaki Sakaï , Sébastien Moulinet , Frédéric Lechenault , Mokhtar Adda-Bedia

We show that to account for the full spectrum of surface fluctuations from low scattering vector qd << 1 (classical capillary wave theory) to high qd > 1 (bulk-like fluctuations), one must take account of the interface's bending rigidity at…

Soft Condensed Matter · Physics 2009-11-13 Edgar M. Blokhuis

We consider the thermal undulation, or shape fluctuation, of an almost planar fluid membrane surrounded by the same near-critical binary fluid mixtures on both sides. A weak preferential attraction is assumed between the membrane and one…

Soft Condensed Matter · Physics 2015-10-13 Youhei Fujitani

It is often stated that if one is presented with a snapshot of the positions of the molecules of a glass and one of a liquid, one is unable to tell the difference. Here we argue instead that given several such snapshots taken over a…

Disordered Systems and Neural Networks · Physics 2024-02-08 Ittai Fraenkel , Jorge Kurchan , Dov Levine

Dense granular media have a compaction between the random loose and random close packings. For these dense media the concept of a granular pressure depending on compaction is not unanimously accepted because they are often in a "frozen"…

Materials Science · Physics 2016-08-16 Christophe Josserand , Pierre-Yves Lagrée , Daniel Lhuillier

We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments…

Gravitational and hydrodynamical perturbations are analysed in a relativistic plasma containing a mixture of interacting fluids characterized by a non-negligible bulk viscosity coefficient. The energy-momentum transfer between the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Massimo Giovannini

The dynamics of granular media in the jammed, glassy region is described in terms of "modes", by applying a Principal Component Analysis (PCA) to the covariance matrix of the position of individual grains. We first demonstrate that this…

Soft Condensed Matter · Physics 2010-07-06 Carolina Brito , Olivier Dauchot , Giulio Biroli , Jean-Philippe Bouchaud

For systems close to equilibrium, the relaxation properties of measurable physical quantities are described by the linear response theory and the fluctuation-dissipation theorem (FDT). Accordingly, the response or the generalized…

Statistical Mechanics · Physics 2012-07-11 Bartlomiej Dybiec , Juan M. R. Parrondo , Ewa Gudowska-Nowak

Methods for studying droplets in models with quenched disorder are critically examined. Low energy excitations in two dimensional models are investigated by finding minimal energy interior excitations and by computing the effect of bulk…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Alan Middleton

The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

Statistical Mechanics · Physics 2020-02-21 Matteo Polettini , Massimiliano Esposito

Following a recent work (briefly reviewed below) we consider temporal fluctuations in the reduced density matrix elements for a coupled system involving a pair of kicked rotors as also one made up of a pair of Harper Hamiltonians. These…

Quantum Physics · Physics 2009-11-10 Sankhasubhra Nag , Gautam Ghosh , Avijit Lahiri

We investigate the response properties of granular media in the framework of the so-called {\em Random Tetris Model}. We monitor, for different driving procedures, several quantities: the evolution of the density and of the density…

Statistical Mechanics · Physics 2009-10-31 Alain Barrat , Vittorio Loreto

The Generalized Elastic Model is a linear stochastic model which accounts for the behaviour of many physical systems in nature, ranging from polymeric chains to single-file systems. If an external perturbation is exerted \emph{only} on a…

Statistical Mechanics · Physics 2013-05-14 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

We investigate the high-frequency behavior of the density of vibrational states in three-dimensional elasticity theory with spatially fluctuating elastic moduli. At frequencies well above the mobility edge, instanton solutions yield an…

Disordered Systems and Neural Networks · Physics 2015-06-16 Constantin Tomaras , Walter Schirmacher

We study the response of dynamical systems to finite amplitude perturbation. A generalized Fluctuation-Response relation is derived, which links the average relaxation toward equilibrium to the invariant measure of the system and points out…

Chaotic Dynamics · Physics 2009-11-07 G. Boffetta , G. Lacorata , S. Musacchio , A. Vulpiani

The fluctuations in the particle size distribution for processes of fragmentation and aggregation are studied for stationary state regimes. The system is described in terms of a stochastic process over an adequate tree structure. The RMS…

chao-dyn · Physics 2009-10-28 Piero Olla