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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

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

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

The fragilities (Tg-normalized temperature dependence of alpha-relaxation times) of 33 glass-forming liquids and polymers are compared for isobaric, mP, and isochoric, mV, conditions. We find that the two quantities are linearly correlated,…

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

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

Systems of particles interacting via inverse-power law potentials have an invariance with respect to changes in length and temperature, implying a correspondence in the dynamics and thermodynamics between different `isomorphic' sets of…

Statistical Mechanics · Physics 2016-08-03 Thibaud Maimbourg , Jorge Kurchan

Dynamical quantities such as the diffusion coefficient and relaxation times for some glass-formers may depend on density and temperature through a specific combination, rather than independently, allowing the representation of data over…

Statistical Mechanics · Physics 2013-09-27 Shiladitya Sengupta , Thomas B. Schröder , Srikanth Sastry

Results from molecular dynamics simulations of two viscous molecular model liquids -- the Lewis-Wahnstrom model of ortho-terphenyl and an asymmetric dumbbell model -- are reported. We demonstrate that the liquids have a ``hidden''…

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

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

Strong correlation between equilibrium fluctuations of the potential energy, U, and the virial, W, is a characteristic of a liquid that implies the presence of certain dynamic properties, such as density scaling of the relaxation times and…

Soft Condensed Matter · Physics 2015-06-11 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

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 Molecular Dynamics simulations of the thermal glass transition in a dense model polymer liquid. We performed a comparative study of both constant volume and constant pressure cooling of the polymer melt. Great emphasis was laid…

Statistical Mechanics · Physics 2009-10-30 C. Bennemann , W. Paul , K. Binder , B. Duenweg

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 third paper of the series, which started with [N. P. Bailey et al., J. Chem. Phys. 129, 184507 and 184508 (2008)], we continue the development of the theoretical understanding of strongly correlating liquids - those whose…

Soft Condensed Matter · Physics 2013-01-29 Thomas B. Schrøder , Nicholas P. Bailey , Ulf R. Pedersen , Nicoletta Gnan , Jeppe C. Dyre

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

Using molecular dynamics simulations, we study a liquid model which consists of particles interacting via a spherically-symmetric two-scale Jagla ramp potential with both repulsive and attractive ramps. The Jagla potential displays…

Soft Condensed Matter · Physics 2009-11-11 Limei Xu , Sergey V. Buldyrev , C. Austen Angell , H. Eugene Stanley

In this paper, we report on nontrivial results of our investigations of dynamic and thermodynamic moduli in search of invariants for viscous liquids in the density scaling regime by using selected supercooled van der Waals liquids as…

Soft Condensed Matter · Physics 2017-10-11 Agnieszka Jedrzejowska , Andrzej Grzybowski , Marian Paluch

We utilize the lattice cluster theory (LCT) of polymer fluids to show that the configurational entropy, enthalpy, and internal energy are all closely interrelated, as suggested by recent measurements by Caruthers and Medvedev, so that the…

Soft Condensed Matter · Physics 2023-01-11 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

Using molecular dynamics simulations and integral equations (Rogers-Young, Percus-Yevick and hypernetted chain closures) we investigate the thermodynamic of particles interacting with continuous core-softened intermolecular potential.…

Soft Condensed Matter · Physics 2007-05-23 Alan B. de Oliveira , Paulo A. Netz , Thiago Colla , Marcia C. Barbosa
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