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We investigate dynamical heterogeneities in the collective relaxation of a concentrated microgel system, for which the packing fraction can be conveniently varied by changing the temperature. The packing fraction dependent mechanical…

Soft Condensed Matter · Physics 2011-05-31 David A. Sessoms , Irmgard Bischofberger , Luca Cipelletti , Véronique Trappe

We study the temperature dependence of static and dynamic responses of Coulomb interacting particles in two-dimensional traps across the thermal crossover from an amorphous solid- to liquid-like behaviors. While static correlations, that…

Disordered Systems and Neural Networks · Physics 2017-10-11 Biswarup Ash , J. Chakrabarti , Amit Ghosal

We use computer simulations to explore the manner in which the particle displacements on intermediate time scales in supercooled fluids correlate to their dynamic structural environment. The fluid we study, a binary mixture of hard spheres,…

Soft Condensed Matter · Physics 2010-05-11 William P. Krekelberg , Venkat Ganesan , Thomas M. Truskett

The dynamical heterogeneity in supercooled liquids measured by a molecular dynamics simulation has been quantified on the basis of the multifractal formalism. The singularity spectrum becomes broader as the glass transition is approached.…

Statistical Mechanics · Physics 2009-11-07 W. Sakikawa , O. Narikiyo

This paper is the fourth in a series exploring the physical consequences of the solidity of highly viscous liquids. It is argued that the two basic characteristics of a flow event (a jump between two energy minima in configuration space)…

Soft Condensed Matter · Physics 2007-05-23 Jeppe C. Dyre

In the domain of nondissipative unitary Hamiltonian dynamics, the well-known Mandelstam-Tamm-Messiah time-energy uncertainty relation $\tau_{F}\Delta_H\ge \hbar/2$ provides a general lower bound to the characteristic time $\tau_F…

Quantum Physics · Physics 2020-03-31 Gian Paolo Beretta

Experiments in bulk water confirm the existence of two local arrangements of water molecules with different densities, but, because of inevitable freezing at low temperature $T$, can not ascertain whether the two arrangements separate in…

While deeply supercooled liquids exhibit divergent viscosity and increasingly heterogeneous dynamics as the temperature drops, their structure shows only seemingly marginal changes. Understanding the nature of relaxation processes in this…

Materials Science · Physics 2022-11-03 Matthias Lerbinger , Armand Barbot , Damien Vandembroucq , Sylvain Patinet

We demonstrate, via numerical simulations, that the relaxation dynamics of supercooled liquids correlates well with a plastic length scale measuring a particle's response to impulsive localized perturbations and weakly to measures of local…

Soft Condensed Matter · Physics 2022-06-23 Yan-Wei Li , Yugui Yao , Massimo Pica Ciamarra

There has been renewed interest in the frequency dependent specific heat of supercooled liquids in recent years with computer simulation studies exploring the whole frequency range of relaxation. The simulation studies can thus supplement…

Soft Condensed Matter · Physics 2009-11-10 Dwaipayan Chakrabarti , Biman Bagchi

In supercooled liquids, at a temperature between the glass transition temperature Tg and the melting point Tm, thermodynamic properties remain continuous, while dynamic behavior exhibits anomalies. The origin of such thermodynamics-dynamic…

Soft Condensed Matter · Physics 2025-06-17 X. R. Tian , D. M. Zhang , B. Zhang , D. Y. Sun , X. G. Gong

We obtain new estimates for the existence time of the maximal solutions to the nonlinear heat equation $\partial_tu-\Delta u=|u|^\alpha u,\;\alpha>0$ with initial values in Lebesgue, weighted Lebesgue spaces or measures. Non-regular,…

Analysis of PDEs · Mathematics 2022-11-22 Slim Tayachi , Fred B. Weissler

The physics of active systems of self-propelled particles, in the regime of a dense liquid state, is an open puzzle of great current interest, both for statistical physics and because such systems appear in many biological contexts. We…

Soft Condensed Matter · Physics 2017-10-26 Saroj Kumar Nandi , Nir S. Gov

We consider nonequilibrium (NEQ) states such as supercooled liquids and glasses that are described with use of internal variables. We classify the latter by state-dependent hierarchy of relaxation times to assess their relevance for…

Statistical Mechanics · Physics 2018-04-04 P. D. Gujrati

We study the homogeneous and time dependent dynamics of the supertube in diverse backgrounds. After deriving a general form of the Hamiltonian in general background, we use a particular gauge fixing, relevant to our analysis to derive a…

High Energy Physics - Theory · Physics 2009-11-11 J. Kluson , Kamal L. Panigrahi

Hydrodynamics accurately describes relativistic heavy-ion collision experiments well before local thermal equilibrium is established. This unexpectedly rapid onset of hydrodynamics -- which takes place on the fastest available timescale --…

Quantum Gases · Physics 2023-06-30 Yuan Le , Yicheng Zhang , Sarang Gopalakrishnan , Marcos Rigol , David S. Weiss

We address a recent conjecture according to which the relaxation time $\tau$ of a viscous liquid obeys density scaling ($\tau=F(\rho^\gamma/T)$ where $\rho$ is density) if the liquid is ``strongly correlating,'' i.e., has almost 100%…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schrøder , Ulf R. Pedersen , Jeppe C. Dyre

We investigate the occurrence of waterlike thermodynamic and dynamic anomalous behavior in a one dimensional lattice gas model. The system thermodynamics is obtained using the transfer matrix technique and anomalies on density and…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Fernando Vito Barbosa , Fernando Albuquerque de Oliveira

We show that for arbitrary thermodynamic conditions, master curves of the entropy are obtained by expressing S(T,V) as a function of TV^g_G, where T is temperature, V specific volume, and g_G the thermodynamic Gruneisen parameter. A similar…

Soft Condensed Matter · Physics 2009-11-13 R. Casalini , C. M. Roland

As liquids approach the glass transition temperature, dynamical heterogeneity emerges as a crucial universal feature of their behavior. Dynamic facilitation, where local motion triggers further motion nearby, plays a major role in this…

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