Contents
Research
Interests
The Statistical Mechanics and Dynamical
Systems Group is conducting research in the following areas:
- Statistical mechanics of nonequilibrium
systems
The study of the structure and stability
of nonequilibrium steady states with emphasis upon models for
the flow of mass, momentum and energy, and the calculation of
thermal transport coefficients.
- Chaos and dynamical systems
New ideas and techniques from the
modern theory of chaotic dynamical systems suggest that a new
fundamental conceptual basis for a theory of nonequilibrium
steady states is possible. In the words of David Ruelle, we
are in a phase of rapid development of nonequilibrium statistical
mechanics in both general results and studies of particular
models.
- Molecular hydrodynamics
- The fundamental connection between
macroscopic hydrodynamics and nonequilibrium statistical mechanics
is poorly understood when there is streaming or turbulent motion
in the fluid. We use molecular dynamics techniques to study of
fluid flow, particularly for convective flows.
Selected
Publications
- D.J.Evans & G.P.Morriss, Statistical
Mechanics of Nonequilibrium Liquids, 1990, Academic Press.
- D.J.Evans, E.G.D.Cohen & G.P.Morriss,
The viscosity of a simple fluid from its maximal Lyapunov exponents,
1990, Physical Review, A42, 5990.
- Denis J. Evans, E.G.D. Cohen &
G.P. Morriss, Probability of Second Law Violations in Shearing
Steady States, 1993, Physical Review Letters, 71,
2401; "Erratum", 71, 3616.
- G.P.Morriss & L.Rondoni, Periodic
Orbit Expansions for the Lorentz Gas 1994, Journal of Statistical
Physics, 75, 553.
- J.Lloyd, L.Rondoni & G.P.Morriss,
The breakdown of ergodic behaviour in the Lorentz gas, 1994, Physical
Review, E50, 3416.
- G.P.Morriss, L.Rondoni & E.G.D.Cohen,
A dynamical partition function for the Lorentz gas, 1995, Journal
of Statistical Physics, 80, 35.
- J.Lloyd, M.Niemeyer, L.Rondoni &
G.P.Morriss, The non equilibrium Lorentz gas, 1995, CHAOS,
5, 536.
- D.R.J.Monaghan, G.P.Morriss &
D.J.Evans, An algorithm for the computer simulation of four-roller
flow, 1995, Molecular Physics, 85, 1151.
- C. P. Dettmann & G. P. Morriss,
Proof of Lyapunov exponent pairing for systems at constant kinetic
energy, 1996, Physical Review, E53, R5545.
- C. P. Dettmann & G. P. Morriss,
Hamiltonian formulation of the Gaussian isokinetic thermostat,
1996 Physical Review, E54, 2495.
- C. P. Dettmann & G. P. Morriss,
Crisis in the periodic Lorentz gas, 1996 Physical Review,
E54, 4782.
- C.P.Dettmann & G.P.Morriss Hamiltonian
reformulation and pairing of Lyapunov exponents for Nose-Hoover
dynamics, 1997 Physical
Review, E55, 3693.
- C.P.Dettmann & G.P.Morriss Stability
ordering of cycle expansions.
1997 Physical Review Letters, 78, 4201.
Recent
Publications
- D. R. J. Monaghan & G. P. Morriss,
A Microscopic Study of Steady Convective Flow in Periodic Systems,
1997, Physical Review, E 56, 476.
- L. Rondoni & G. P. Morriss, Thermostatted
N-particle systems and orbital measures, 1997, Physics Reports,
290, 173.
- Wm. G. Hoover, D. J. Evans, H. A.
Posch, B. L. Holian & G. P. Morriss, Comment on: 'Toward a
Statistical Thermodynamics of Steady States'. 1998, Physical
Review Letters, 80, 4103.
- D. J. Evans, D. J. Searles, Wm. G.
Hoover, C. G. Hoover, B. L. Holian, H. A. Posch & G. P. Morriss,
Comment on: Modified nonequilibrium molecular dynamics for fluid
flows with energy conservation, 1998, Journal of Chemical Physics,
108, 4351.
- G. P. Morriss & C. P. Dettmann,
Thermostats: Analysis and application, 1998, Chaos, 8,
321.
- D. R. J. Monaghan & G. P. Morriss,
Microscopic Coupling of Convective Modes in a Fluid, 1998, Molecular
Physics, 95, 243.
- G. P. Morriss & L. Rondoni, On
a Definition of Temperature in Equilibrium and Nonequilibrium
Systems, 1999, Physical Review, E 59, 5.
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