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Related papers: Finite-Size Effects in Aging can be Interpreted as…

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Aging to the equilibrium liquid state of organic glasses is studied. The glasses were prepared by cooling the liquid to temperatures just below the glass transition. Aging following a temperature jump was studied by measuring the dielectric…

Soft Condensed Matter · Physics 2013-01-29 Tina Hecksher , Niels Boye Olsen , Kristine Niss , Jeppe C. Dyre

We present a comprehensive study of non-equilibrium phenomena in the low temperature phase of the Edwards-Anderson Gaussian spin glass in 3 and 4 spatial dimensions. Many effects can be understood in terms of a time dependent coherence…

Statistical Mechanics · Physics 2009-11-07 Ludovic Berthier , Jean-Philippe Bouchaud

The critical behavior of a quenched random hypercubic sample of linear size $L$ is considered, within the ``random-$T_{c}$'' field-theoretical mode, by using the renormalization group method. A finite-size scaling behavior is established…

Statistical Mechanics · Physics 2009-11-07 H. Chamati , E. Korutcheva , N. S. Tonchev

The spin glasses are disordered and frustrated magnetic systems. They show aging phenomena which are also a characteristic feature of structural glasses, polymers, dielectrics, colloids, etc. Under a strong enough magnetic field variation,…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Dupuis , E. Vincent , F. Bert , D. Herisson , J. Hammann , M. Ocio

We study finite-size effects on the dynamics of a one-dimensional zero-range process which shows a phase transition from a low-density disordered phase to a high-density condensed phase. The current fluctuations in the steady state show…

Statistical Mechanics · Physics 2009-11-13 Shamik Gupta , Mustansir Barma , Satya N. Majumdar

In this work a symmetry of universal finite-size scaling functions under a certain anisotropic scale transformation is postulated. This transformation connects the properties of a finite two-dimensional system at criticality with…

Statistical Mechanics · Physics 2009-11-07 Alfred Hucht

The idea of universal finite-size-scaling functions of the Ising model is tested by Monte Carlo simulations for various lattices. Not only regular lattices such as the square lattice but quasiperiodic lattices such as the Penrose lattice…

Condensed Matter · Physics 2015-06-25 Yutaka Okabe , Macoto Kikuchi

We present a finite-size study of the athermal quasistatic yielding transition in structural glasses featuring a wide range of mechanical disorder. We find a crossover from gradual yielding in small systems, to a macroscopic discontinuous…

Soft Condensed Matter · Physics 2021-04-07 Richard David , Rainone Corrado , Lerner Edan

We consider the dynamics of a suspension of hard sphere-like particles in the proximity of its glass transition, the region where the intermediate scattering functions show significant aging. The time correlation function of the…

Soft Condensed Matter · Physics 2018-10-10 William van Megen , Hans-Joachim Schoepe

Living systems are subject to the arrow of time; from birth, they undergo complex transformations (self-organization) in a constant battle for survival, but inevitably ageing and disease trap them to death. Can ageing be understood and…

Other Quantitative Biology · Quantitative Biology 2020-08-21 Tamàs Fülöp , Mathieu Desroches , Fernando Antônio Nóbrega Santos , Serafim Rodrigues

Molecular dynamics simulations are performed for a supercooled simple liquid with changing the system size from N=108 to $10^4$ to examine possible finite-size effects. Although almost no systematic deviation is detected in the static pair…

Soft Condensed Matter · Physics 2007-05-23 Kang Kim , Ryoichi Yamamoto

We report results of dynamic light scattering measurements of the coherent intermediate scattering function (ISF) of glasses of hard spheres for several volume fractions and a range of scattering vectors around the primary maximum of the…

Soft Condensed Matter · Physics 2015-05-19 V. A. Martinez , G. Bryant , W. van Megen

We progress finite-size scaling in systems with free boundary conditions above their upper critical dimension, where in the thermodynamic limit critical scaling is described by mean-field theory. Recent works show that the correlation…

Statistical Mechanics · Physics 2024-04-02 Yu. Honchar , B. Berche , Yu. Holovatch , R. Kenna

We propose that there exists a generic class of glass forming systems that have competing states (of crystalline order or not) which are locally close in energy to the ground state (which is typically unique). Upon cooling, such systems…

Statistical Mechanics · Physics 2009-11-13 Valery Ilyin , Itamar Procaccia , Ido Regev , Nurith Schupper

We study systems with a continuous phase transition that tune their parameters to maximize a quantity that diverges solely at a unique critical point. Varying the size of these systems with dynamically adjusting parameters, the same…

Statistical Mechanics · Physics 2011-03-24 Ole Peters , Michelle Girvan

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

Soft Condensed Matter · Physics 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

We discuss the behavior of the fully frustrated hypercubic cell in the infinite dimensional mean-field limit. In the Ising case the system undergoes a glass transition, well described by the random orthogonal model. Under the glass…

Condensed Matter · Physics 2009-10-22 Enzo Marinari , Giorgio Parisi , Felix Ritort

The jamming transition of particles with finite-range interactions is characterized by a variety of critical phenomena, including power law distributions of marginal contacts. We numerically study a recently proposed simple model of…

Statistical Mechanics · Physics 2016-01-20 Yoav Kallus

Models of many-species ecosystems, such as the Lotka-Volterra and replicator equations, suggest that these systems generically exhibit near-extinction processes, where population sizes go very close to zero for some time before rebounding,…

Statistical Mechanics · Physics 2023-03-15 Thibaut Arnoulx de Pirey , Guy Bunin