Physica A 392 (2013) 6206–6213
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Physica A
journal homepage: www.elsevier.com/locate/physa
Description of the viscosity of honeys in the
supercooled regime
Adriana Andraca
a
, Patricia Goldstein
a,*
, Luis Felipe del Castillo
b
a
Departamento de Física, Facultad de Ciencias Universidad Nacional Autónoma de México, Coyoacán, México, D. F. 04510, Mexico
b
Instituto de Investigaciones en Materiales Universidad Nacional Autónoma de México, Coyoacán, México, D. F. 04510, Mexico
highlights
• We study the dependence on temperature of viscosity of honeys in the glass transition region.
• The model used to analyze data is a linear form for the WLF equation.
• A master plot is obtained for different honeys exhibiting a corresponding state behavior.
• The reference temperature that is considered has a similar value to the dynamic crossover temperature.
article info
Article history:
Received 10 June 2013
Received in revised form 6 August 2013
Available online 20 August 2013
Keywords:
Glass transition
Honeys
Viscosity
Corresponding states
Williams–Landel–Ferry equation
abstract
For several honeys from different countries, we study the dependence of the Logarithmic
Shift Factor (LSF ) with temperature that obeys the Williams–Landel–Ferry equation. We
find that the LSF may be expressed in terms of a linear equation. On the other hand, the
viscosities of different honeys present a corresponding state behavior through a master
plot in terms of an adimensional temperature. This kind of behavior has been reported for
other glass formers.
© 2013 Elsevier B.V. All rights reserved.
1. Introduction
The glass transition and the relaxation processes that take place in supercooled liquids have been extensively studied for
over thirty years.
One of the most important issues that has been studied for different kinds of liquids is the rapid increase of the viscosity
with temperature as the glass temperature T
g
is attained. Several empirical forms for the dependence of the viscosity with
temperature for a supercooled liquid can be used, and the two most important equations are the Vogel–Fulcher–Tammann
(VFT) [1–3] equation and the Williams–Landel–Ferry (WLF) [4] expression.
The VFT equation is given by
LSF ≡ log
η(T )
η(T
S
)
= A -
B
T - T
0
(1)
where LSF represents the Logarithmic Shift Factor, η is the viscosity, T
s
is a reference temperature, A and B are independent
parameters and T
0
has been interpreted as the isentropic temperature, the temperature for which the configurational
entropy of the liquid vanishes [5,6].
*
Corresponding author. Tel.: +52 5556224969.
E-mail addresses: adrianaag@ciencias.unam.mx (A. Andraca), patricia.goldstein@ciencias.unam.mx (P. Goldstein), lfelipe@unam.mx (L.F. del Castillo).
0378-4371/$ – see front matter © 2013 Elsevier B.V. All rights reserved.
http://dx.doi.org/10.1016/j.physa.2013.08.013