2013
DOI: 10.1063/1.4821163
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Communication: Two measures of isochronal superposition

Abstract: A liquid obeys isochronal superposition if its dynamics is invariant along the isochrones in the thermodynamic phase diagram (the curves of constant relaxation time). This paper introduces two quantitative measures of isochronal superposition. The measures are used to test the following six liquids for isochronal superposition: 1,2,6 hexanetriol, glycerol, polyphenyl ether, diethyl phthalate, tetramethyl tetraphenyl trisiloxane, and dibutyl phthalate. The latter four van der Waals liquids obey isochronal super… Show more

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Cited by 44 publications
(42 citation statements)
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“…Extensive computer simulations have shown [15,[17][18][19][20][21][25][26][27][28][29][30], however, that the predicted isomorph invariants apply to a good approximation for a wide variety of systems. A few experimental predictions of the isomorph theory have been confirmed, as well [29,31,32]. This paper first discusses the case of general Roskilde-simple liquids, including mixtures [21,28,30] and molecular systems [17].…”
Section: Introductionmentioning
confidence: 99%
“…Extensive computer simulations have shown [15,[17][18][19][20][21][25][26][27][28][29][30], however, that the predicted isomorph invariants apply to a good approximation for a wide variety of systems. A few experimental predictions of the isomorph theory have been confirmed, as well [29,31,32]. This paper first discusses the case of general Roskilde-simple liquids, including mixtures [21,28,30] and molecular systems [17].…”
Section: Introductionmentioning
confidence: 99%
“…The glass-formers community has widely exploited the imaginary part of the complex dielectric permittivity because of its high sensitivity to external factors such as temperature and pressure, and also to microscopic properties of the substance such as its degree of order, physical interactions with the surroundings, and geometrical confinement among others [7][8][9][10][11][12][13] . Glycerol (propane-1,2,3-triol) is one of the most studied molecular glass-formers, principally for its extremely low tendency to crystallize [14][15][16][17][18][19][20] . Since glycerol normally forms a highly stable supercooled liquid (large viscosity upon melting 17 ), little attention has been paid to its crystalline phase.…”
Section: Introductionmentioning
confidence: 99%
“…For comparison, we have included the shear-mechanical data from Refs. 23 and 47 for 2-ethyl-1-hexanol and polyphenyl ether (5PPE) which represent two limiting cases, i.e., a strongly hydrogen bonding liquid and a van der Waals bonded simple Roskilde-type 51,52 liquid. In Fig.…”
mentioning
confidence: 99%