Can models of charged rods show features of undercooled liquids?
S. Lago
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, M. Cortada, M.D. Lobato, F. Gámez, M. Basoalto, J.M. Pedrosa, S. Calero
Dpto. Sistemas Físicos, Químicos y Naturales, University Pablo de Olavide, Ctra. de Utrera Km. 1, Seville 41013, Spain
Available online 22 January 2007
Abstract
We have performed molecular dynamic simulations of linear charged particle models. They are defined by rods with discrete charges at the
ends. Intermolecular interactions are described by a coulombic term plus a Kihara potential for the rest of interactions. Our simulations were
carried out for low and high charged systems either at thermodynamic states corresponding to the liquid branch of vapor–liquid equilibrium curve
of non-charged rods or at supercritical temperatures of the non-charged systems. Our results show that rods with null or small discrete charge
behave as normal liquids: the viscosity increases with rod length and they present short range velocity self-correlation function (VSCF). However,
for medium and large discrete charges VSCF shows a very long range tail and the apparent viscosity increases by several orders of magnitude with
a non-Arrhenius dependence with temperature. In some cases a transition from Arrhenius to non-Arrhenius behavior for medium charges is
observed. Our results strongly suggest that systems behave as normal liquids when the rods have null or small charges and show undercooled
liquid behavior for larger discrete charges at low temperatures.
© 2006 Elsevier B.V. All rights reserved.
Keywords: Correlation functions; Non-Arrhenius viscosity; Diffusion coefficient
1. Introduction
The study of the glassy state from a microscopic point of
view has experienced a spectacular expansion over the last few
years [1]. The classification of glasses as strong and fragile
glasses according to the variation of their viscosity with
temperature has supposed a landmark in the study of these
systems [2]. During the last few years a number of systems
composed by different substances, probably more than in all the
preceding centuries, have been identified as glass formers.
These systems do not freeze normally at the melting point,
suffering a first order phase transition as the normal liquids do.
On the contrary, they remain as liquids at temperatures lower
than the melting point. Viscosity of undercooled liquids changes
by several orders of magnitude in a range of a few Kelvin. In
these cases, rotation and vibration degrees of freedom are only
partially frozen showing an energy landscape with a huge
number of accessible wells of different depth. When tempera-
ture decreases even lower the freezing points, the number of
accessible depths dramatically decreases and the diffusion
coefficients also abnormally decrease. It is in these circum-
stances that the well-known Stokes–Einstein relation stops
fulfilling. Not only these features but also a few else are well
enumerated by Casalini et al. [3] to define an undercooled
liquid. The most extensively studied undercooled liquid in the
last few years is undoubtedly water [4], not only due to its own
relevance but also because it seems to show polyamorphism [5],
including a second critical point at temperatures well below the
normal freezing point. This polyamorphism is a new peculiarity
of a liquid with a number of well-known peculiarities [6].
Furthermore, polymers are the typical examples of undercooled
liquids but they present polydispersity or, in molecular terms,
they are a mixture of molecules of different chain lengths. We
restricted ourselves in this work to monodisperse substances
where polymers are explicitly excluded but additional examples
of organic [7,8] and inorganic [9] relevant molecules are known.
In particular, it is well known that hydrocarbons or closely
related compounds can remain during centuries forming
asphalts or shoe-polish lakes as La Brea Lake not far from
Los Angeles or Bermúdez Lake in Venezuela. Moreover, in
marine spills, the appearance of “chapapote” (from nahuatl
Chapopotl, asphalt) is a relevant environmental problem
currently. The behavior of these undercooled liquids is far
from being well understood from a molecular point of view. The
Journal of Molecular Liquids 134 (2007) 136 – 141
www.elsevier.com/locate/molliq
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Corresponding author. Tel.: +34 954349309; fax: +34 954349151.
E-mail address: slagara@upo.es (S. Lago).
0167-7322/$ - see front matter © 2006 Elsevier B.V. All rights reserved.
doi:10.1016/j.molliq.2006.12.012