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We test a hypothesis for the origin of dynamical heterogeneity in slowly relaxing systems, namely that it emerges from soft (Goldstone) modes associated with a broken continuous symmetry under time reparametrizations. We do this by…

Disordered Systems and Neural Networks · Physics 2013-10-30 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian

We simulate binary soft disk systems in two dimensions, and investigate how the dynamics slow as the area fraction is increased toward the glass transition. The "fragility" quantifies how sensitively the relaxation time scale depends on the…

Soft Condensed Matter · Physics 2010-10-12 Rei Kurita , Eric R. Weeks

The influence of size differences, shape, mass and persistent motion on phase separation in binary mixtures has been intensively studied. Here we focus on the exclusive role of diffusivity differences in binary mixtures of equal-sized…

Soft Condensed Matter · Physics 2016-03-04 Simon N. Weber , Christoph A. Weber , Erwin Frey

The fluctuations are termed mesoscopic, when their typical size is essentially larger then the average distance between the nearest neighbors, while being much smaller than the overall system size. Since the features of mesoscopic…

Statistical Mechanics · Physics 2026-01-23 V. I. Yukalov , E. P. Yukalova

Dynamical heterogeneities -- strong fluctuations near the glass transition -- are believed to be crucial to explain much of the glass transition phenomenology. One possible hypothesis for their origin is that they emerge from soft…

Soft Condensed Matter · Physics 2012-01-10 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian

Many cellular components are present in such low numbers that individual stochastic production and degradation events lead to significant fluctuations in molecular abundances. Although feedback control can, in principle, suppress such…

Molecular Networks · Quantitative Biology 2025-12-25 Ryan Ripsman , Brayden Kell , Andreas Hilfinger

We study a gas of hard rods on a ring, driven by an external thermostat, with either elastic or inelastic collisions, which exhibits sub-diffusive behavior $<x^2 > \sim t^{1/2}$. We show the validity of the usual Fluctuation-Dissipation…

Statistical Mechanics · Physics 2008-10-10 D. Villamaina , A. Puglisi , A. Vulpiani

We study by molecular dynamics computer simulation a binary soft-sphere mixture that shows a pronounced decoupling of the species' long-time dynamics. Anomalous, power-law-like diffusion of small particles arises, that can be understood as…

Statistical Mechanics · Physics 2013-05-29 Th. Voigtmann , J. Horbach

We study the behavior of a moving wall in contact with a particle gas and subjected to an external force. We compare the fluctuations of the system observed in the microcanonical and canonical ensembles, at varying the number of particles.…

Statistical Mechanics · Physics 2014-04-03 L. Cerino , G. Gradenigo , A. Sarracino , D. Villamaina , A. Vulpiani

To study the dynamics of chemical processes, we often adopt rate equations to observe the change in chemical concentrations. However, when the number of the molecules is small, the fluctuations cannot be neglected. We often study the…

Chemical Physics · Physics 2007-05-23 Yuichi Togashi , Kunihiko Kaneko

We study resonant response of an underdamped nanomechanical resonator with fluctuating frequency. The fluctuations are due to diffusion of molecules or microparticles along the resonator. They lead to broadening and change of shape of the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 J. Atalaya , A. Isacsson , M. I. Dykman

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

Chaotic Dynamics · Physics 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

A system far from equilibrium is characterized by unconventional many-body dynamical effects, which can lead to anomalous density fluctuations and mass transport. Interestingly, these structural and dynamic features often emerge…

Statistical Mechanics · Physics 2010-03-09 David A. Head , Hajime Tanaka

The transport of individual entities through interconnected structures is a process of practical relevance both in biology and technology. Examples are given by diffusive dynamics of molecules in porous structures. In soft environments,…

Soft Condensed Matter · Physics 2026-02-09 Jakob Mihatsch , Andreas M. Menzel

We propose a mechanism to produce fluctuations in the viscosity parameter ($\alpha$) in differetially rotating discs. We carried out a nonlinear analysis of a general accretion flow, where any perturbation on the background $\alpha$ was…

High Energy Astrophysical Phenomena · Physics 2015-06-17 S. R. Rajesh , Nishant K. Singh

Fluctuations exist in any material object $A$. If $A$ has non-zero temperature $T$, one speaks about thermal fluctuations. If $A$ is at very low $T$, the fluctuations are of quantum origin. Interesting effects appear if two bodies $A$ and…

Statistical Mechanics · Physics 2025-09-30 Daniel Dantchev , Nicholay Tonchev

Earlier we showed that the fine structure of the spectrum of amplitude variations in the results of measurements of the processes of different nature (in other words, the fine structure of the dispersion of results or the pattern of the…

General Physics · Physics 2007-05-23 Simon E. Shnoll

We study concentrated binary colloidal suspensions, a model system which has a glass transition as the volume fraction $\phi$ of particles is increased. We use confocal microscopy to directly observe particle motion within dense samples…

Soft Condensed Matter · Physics 2011-05-20 Takayuki Narumi , Scott V. Franklin , Kenneth W. Desmond , Michio Tokuyama , Eric R. Weeks

The existence of a generalized fluctuation-dissipation theorem observed in simulations and experiments performed in various glassy materials is related to the concepts of local equilibration and heterogeneity in space. Assuming the…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier
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