Statistical Mechanics of Nonequilibrium Liquids (Google eBook)

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Cambridge University Press, May 8, 2008 - Science
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In recent years the interaction between dynamical systems theory and non-equilibrium statistical mechanics has been enormous. The discovery of fluctuation theorems as a fundamental structure common to almost all non-equilibrium systems, and the connections with the free energy calculation methods of Jarzynski and Crooks, have excited both theorists and experimentalists. This graduate-level book charts the development and theoretical analysis of molecular dynamics as applied to equilibrium and non-equilibrium systems. Designed for both researchers in the field and graduate students of physics, it connects molecular dynamics simulation with the mathematical theory to understand non-equilibrium steady states. It also provides a link between the atomic, nano, and macro worlds. The book ends with an introduction to the use of non-equilibrium statistical mechanics to justify a thermodynamic treatment of non-equilibrium steady states, and gives a direction to further avenues of exploration.
  

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Contents

been great strides made in the development of the study of fluctuations in nonequi
6
Linear irreversible thermodynamics
11
The microscopic connection
33
The Greenkubo relations
79
Linearresponse theory
95
Computer simulation algorithms
119
Nonlinear response theory
167
Dynamical stability
209
Nonequilibrium fluctuations
259
Thermodynamics of steady states
283
References
301
Index
309
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Page i - Engineers, a Fellow of the Institute of Physics, and a Member of the Institute of Welding.
Page i - D., has been a lecturer in the School of Physics at the University of New South Wales, Australia, since 1990.
Page 1 - Mechanics provides a complete microscopic description of the state of a system. When the equations of motion are combined with initial conditions and boundary conditions, the subsequent time evolution of a classical system can be predicted. In systems with more than just a few degrees of freedom such an exercise is impossible.
Page 1 - ... for such systems. Thermodynamics provides a theoretical framework for correlating the equilibrium properties of such systems. If the system is not at equilibrium, fluid mechanics is capable of predicting the macroscopic nonequilibrium behaviour of the system.

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About the author (2008)

Denis Evans is Professor of Theoretical Chemistry at the Australian National University (ANU), Dean of the Research School of Chemistry and Convenor of the ANU College of Science. He has won several prizes, including the Moyal Medal, Macquarie University, for distinguished contributions to mathematics, physics or statistics, the Centenary Medal from the Australian government, and the H. G. Smith Memorial Medal, Royal Australian Chemical Institute.

Gary Morriss is Associate Professor and Undergraduate Director in the School of Physics at the University of New South Wales, Australia. He is a Fellow of the Institute of Physics and a member of the American Physical Society. His research areas include non-equilibrium statistical mechanics and dynamical systems.

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