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Supercooled liquids are characterized by relaxation times that increase dramatically by cooling or compression. Many liquids have been shown to obey power-law density scaling, according to which the relaxation time is a function of density…

Soft Condensed Matter · Physics 2012-12-19 Lasse Bøhling , Trond S. Ingebrigtsen , A. Grzybowski , M. Paluch , Jeppe C. Dyre , Thomas B. Schrøder

The experimental fact that relaxation times, tau, of supercooled liquids and polymers are uniquely defined by the quantity TV^g, where T is temperature, V specific volume, and g a material constant, leads to a number of interpretations and…

Soft Condensed Matter · Physics 2009-11-11 C. M. Roland , J. L. Feldman , R. Casalini

We use molecular dynamics simulation results on viscous binary Lennard-Jones mixtures to examine the correlation between the potential energy and the virial. In accord with a recent proposal [U. R. Pedersen et. al. Phys. Rev. Lett. 100,…

Statistical Mechanics · Physics 2009-01-08 D. Coslovich , C. M. Roland

The self-diffusion constant D is expressed in terms of transitions among the local minima of the potential (inherent structure, IS) and their correlations. The formulae are evaluated and tested against simulation in the supercooled,…

Statistical Mechanics · Physics 2009-10-31 T. Keyes , J. Chowdhary

The crucial problem for better understanding the nature of glass transition and related relaxation phenomena is to find proper interrelations between molecular dynamics and thermodynamics of viscous systems. To gain this aim the recently…

Soft Condensed Matter · Physics 2012-10-17 Andrzej Grzybowski , Kajetan Koperwas , Marian Paluch

Viscosities and their temperature, T, and volume, V, dependences are reported for 7 molecular liquids and polymers. In combination with literature viscosity data for 5 other liquids, we show that the superpositioning of relaxation times for…

Soft Condensed Matter · Physics 2009-11-11 CM Roland , S Bair , R Casalini

We present the results of a Molecular Dynamics computer simulation of a binary Lennard-Jones liquid confined in a narrow pore. The surface of the pore has an amorphous structure similar to that of the confined liquid. We find that the…

Statistical Mechanics · Physics 2007-05-23 Peter Scheidler , Walter Kob , Kurt Binder

Many glass-forming fluids exhibit a remarkable thermodynamic scaling in which dynamic properties, such as the viscosity, the relaxation time, and the diffusion constant, can be described under different thermodynamic conditions in terms of…

Soft Condensed Matter · Physics 2015-06-16 Wen-Sheng Xu , Karl F. Freed

In this paper we present an overview of results in the literature regarding the thermodynamical scaling of the dynamics of liquids and polymers as measured from high-pressure measurements. Specifically, we look at the scaling exponent…

Soft Condensed Matter · Physics 2020-01-08 Riccardo Casalini , Timothy C. Ransom

The diffusivity of tagged particles is demonstrated to be heterogeneous on time scales comparable to or less than the structural relaxation time %taking place at the interparticle distance in a highly supercooled liquid via 3D molecular…

Soft Condensed Matter · Physics 2009-10-31 Ryoichi Yamamoto , Akira Onuki

Superpositioning of relaxation data as a function of the product variable TV^{\gamma}, where T is temperature, V the specific volume, and {\gamma} a material constant, is an experimental fact demonstrated for approximately 100 liquids and…

Soft Condensed Matter · Physics 2015-05-20 Daniel Fragiadakis , C. Michael Roland

It is demonstrated that properly reduced transport coefficients (self-diffusion, shear viscosity, and thermal conductivity) of Lennard-Jones fluids along isotherms exhibit quasi-universal scaling on the density divided by its value at the…

Soft Condensed Matter · Physics 2021-09-30 S. A. Khrapak , A. G. Khrapak

Liquids displaying strong virial-potential energy correlations conform to an approximate density scaling of their structural and dynamical observables. This scaling property does not extend to the entire phase diagram, in general. The…

Soft Condensed Matter · Physics 2020-12-23 Thibaud Maimbourg , Jeppe C. Dyre , Lorenzo Costigliola

A quantitative relationship between the diffusion coefficient $D$ of a tagged particle in a liquid and the entropy $S$ of that liquid has long been sought, as it would allow entropy to be inferred directly from diffusion measurements and…

Statistical Mechanics · Physics 2025-09-25 Nayana Venkatareddy , Mohd Moid , Prabal K. Maiti , Biman Bagchi

We investigate the variation of the driving force for crystallization of a supercooled liquid along isomorphs, curves along which structure and dynamics are invariant. The variation is weak, and can be predicted accurately for the…

Statistical Mechanics · Physics 2017-06-23 Ulf R. Pedersen , Karolina Adrjanowicz , Kristine Niss , Nicholas P. Bailey

In this paper, based on the effective intermolecular potential with well separated density and configuration contributions and the definition of the isothermal bulk modulus, we derive two similar equations of state dedicated to describe…

Soft Condensed Matter · Physics 2015-07-06 Andrzej Grzybowski , Kajetan Koperwas , Marian Paluch

A broad variety of liquids conform to density scaling: relaxation times expressed as a function of the ratio of temperature to density, the latter raised to a material constant {\gamma}. For atomic liquids interacting only through simple…

Soft Condensed Matter · Physics 2019-06-26 D. Fragiadakis , C. M. Roland

Since its initial discovery more than fifteen years ago, the thermodynamical scaling of the dynamics of supercooled liquids has been used to provide many new important insights in the physics of liquids, particularly on the link between…

Soft Condensed Matter · Physics 2019-11-04 Riccardo Casalini , Timothy C. Ransom

Fundamental thermodynamics and an earlier elastic solid-state point defect model [P. Varotsos and K. Alexopoulos, Phys. Rev B 15, 4111 (1977); 18, 2683 (1978)] are employed to formulate an analytical second-order polynomial function…

Soft Condensed Matter · Physics 2009-03-31 A. N. Papathanassiou

The present study introduces a renormalization based approach to investigate the relaxation dynamics within supercooled liquids. By applying a numerical scale transformation to potential energies along the temporal axis, we have established…

Soft Condensed Matter · Physics 2025-04-01 B. Zhang , D. M. Zhang , D. Y. Sun , X. G. Gong
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