Bulk viscosity of molecular fluids
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Supporting information
Author(s)
Jaeger, Frederike
Matar, Omar K
Muller, EA
Type
Journal Article
Abstract
The bulk viscosity of molecular models of gases and liquids is determined by molecular simulations as a
combination of a dilute gas contribution, arising due to the relaxation of internal degrees of freedom, and a
configurational contribution, due to the presence of intermolecular interactions. The dilute gas contribution
is evaluated using experimental data for the relaxation times of vibrational and rotational degrees of freedom.
The configurational part is calculated using Green-Kubo relations for the fluctuations of the pressure tensor
obtained from equilibrium microcanonical molecular dynamics simulations. As a benchmark, the Lennard-
Jones fluid is studied. Both atomistic and coarse-grained force fields for water, CO
2
and n-decane are
considered and tested for their accuracy. Comparison to experimental data, where present, demonstrates
that the tested models show various degrees of success in predicting bulk viscosity values, although atomistic
force fields in general seem to perform more consistently than the corresponding coarse-grained counterparts.
The dilute gas contribution to the bulk viscosity is seen to be significant only in the cases when intramolecular
relaxation times are in the
μ
s range, and for low vibrational wave numbers (
<
1000 cm
−
1
); This explains
the abnormally high values of bulk viscosity reported for CO
2
. In all other cases studied, the dilute gas
contribution is negligible, and the configurational contribution dominates the overall behaviour. In particular,
the configurational term is responsible for the enhancement of the bulk viscosity near the critical point.
combination of a dilute gas contribution, arising due to the relaxation of internal degrees of freedom, and a
configurational contribution, due to the presence of intermolecular interactions. The dilute gas contribution
is evaluated using experimental data for the relaxation times of vibrational and rotational degrees of freedom.
The configurational part is calculated using Green-Kubo relations for the fluctuations of the pressure tensor
obtained from equilibrium microcanonical molecular dynamics simulations. As a benchmark, the Lennard-
Jones fluid is studied. Both atomistic and coarse-grained force fields for water, CO
2
and n-decane are
considered and tested for their accuracy. Comparison to experimental data, where present, demonstrates
that the tested models show various degrees of success in predicting bulk viscosity values, although atomistic
force fields in general seem to perform more consistently than the corresponding coarse-grained counterparts.
The dilute gas contribution to the bulk viscosity is seen to be significant only in the cases when intramolecular
relaxation times are in the
μ
s range, and for low vibrational wave numbers (
<
1000 cm
−
1
); This explains
the abnormally high values of bulk viscosity reported for CO
2
. In all other cases studied, the dilute gas
contribution is negligible, and the configurational contribution dominates the overall behaviour. In particular,
the configurational term is responsible for the enhancement of the bulk viscosity near the critical point.
Date Issued
2018-05-03
Date Acceptance
2018-04-17
Citation
Journal of Chemical Physics, 2018, 148 (17)
ISSN
0021-9606
Publisher
AIP Publishing
Journal / Book Title
Journal of Chemical Physics
Volume
148
Issue
17
Copyright Statement
©
2018 Author(s). All article content, except where otherwise noted, is licensed under
a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)
2018 Author(s). All article content, except where otherwise noted, is licensed under
a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/E016340/1
EP/J014958/1
Subjects
Science & Technology
Physical Sciences
Chemistry, Physical
Physics, Atomic, Molecular & Chemical
Chemistry
Physics
GAMMA FORCE-FIELD
TIME-CORRELATION FUNCTIONS
POTENTIAL-ENERGY CURVE
COARSE-GRAINED MODELS
CARBON-DIOXIDE
TRANSPORT-COEFFICIENTS
VOLUME VISCOSITY
LIQUID ARGON
ULTRASONIC-ATTENUATION
VIBRATIONAL-RELAXATION
02 Physical Sciences
03 Chemical Sciences
09 Engineering
Chemical Physics
Publication Status
Published
Article Number
174504
Date Publish Online
2018-05-03