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A Thermostat for Molecular Dynamics of Complex Fluids
A Thermostat for Molecular Dynamics of Complex Fluids
Michael P. Allen∗
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0 Department of Physics and Centre for Scientific Computing
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University of Warwick, Coventry CV4 7AL, United Kingdom
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Friederike Schmid
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2 Fakult¨at f¨ur Physik, Universit¨at Bielefeld, D-33615 Bielefeld, Germany
]
h Abstract
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m A thermostat of the Nos´e-Hoover type, based on relative velocities and a local definition of
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t the temperature, is presented. The thermostat is momentum-conserving and Galilean-invariant,
a
t
s which should make it suitable for use in Dissipative Particle Dynamics simulations, as well as
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a nonequilibrium molecular dynamics simulations.
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∗Invited Talk at Symposium on Progress and Future Prospects in Molecular Dynamics Simulation – In
Memory of Professor Shuichi Nos´e
1
I. INTRODUCTION
The original papers of Nos´e [1, 2] provided a new perspective on the generation of sta-
tistical ensembles by dynamical simulation. They showed that a deterministic set of equa-
tions of motion, involving just one or two extra degrees of freedom, can sample configura-
tions from the canonical ensemble. This complements the stochastic method of Andersen
[3], which generates the canonical ensemble by periodic reselection of velocities from the
Maxwell-Boltzmann distribution. The work of Hoover [4, 5] further clarified the nature of
the isothermal dynamical equations and how
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