Skip to main content

Adiabatic Hamiltonian deformation, linear response theory, and nonequilibrium molecular dynamics

  • Conference paper
  • First Online:
Systems Far from Equilibrium

Part of the book series: Lecture Notes in Physics ((LNP,volume 132))

Abstract

The same methods are now being applied to solid-phase problems. 10 At the relatively high frequencies used in the viscous fluid calculations described here, solids typically behave elastically. Lower frequencies lead to the formation of dislocations and other defects, making it possible to study plastic flow.

A property of the nonequilibrium equations of motion which might be profitably explored is their effective irreversibility. Because only a few particles are necessary to generate irreversible behavior, simulations using adiabatic deformations of the kind described here could perhaps elucidate the instability in the equations of motion responsible for irreversibility.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Davison and R.A. Graham, Physics Reports55, 255 (1979).

    Article  Google Scholar 

  2. V.Y. Klimenko and A.N. Dremin, in Detonatsiya, Chernogolovka, edited by O.N. Breusov et alii (Akad. Nauk, Moscow, USSR, 1978) p. 79. See also B.L. Holian, W.G. Hoover, B. Moran, and G.K. Straub, “Shockwave Structure via No.nequilibrium Molecular Dynamics and Navier-Stokes Continuum Mechanics”, submitted to Physical Review.

    Google Scholar 

  3. W.G. Hoover, Phys. Rev. Lett. 42, 1531 (1979).

    Article  Google Scholar 

  4. C.H. Fawcett, Hobbies 63, 41 (1958).

    Google Scholar 

  5. H.C. Andersen, J. Chem. Phys. 72, 2384 (1980).

    Article  Google Scholar 

  6. R.W. Zwanzig, Ann. Rev. Phys. Chem. 16, 67 (1965).

    Article  Google Scholar 

  7. D.A. McQuarrie, Statistical Mechanics, (Harper & Row, New York, 1976) p. 507.

    Google Scholar 

  8. W.G. Hoover, D.J. Evans, R.B. Hickman, A.J.C. Ladd, W.T. Ashurst, and B. Moran, “Lennard-Jones Triple-Point Bulk and Shear Viscosities. Green-Kubo Theory, Hamiltonian Mechanics, and Nonequilibrium Molecular Dynamics”, submitted to Physical Review (1980); D.J. Evans, W.G. Hoover, and A.J.C. Ladd, “Fluctuation Expressions for Non-Equilibrium Distribution Functions in Adiabatic Flows”, to be published (1980).

    Google Scholar 

  9. W.G. Hoover, A.J.C. Ladd, R.B. Hickman, and B.L. Holian, “Bulk Viscosity via Nonequilibrium and Equilibrium Molecular Dynamics”, to be published in Physical Review (1980).

    Google Scholar 

  10. W.G. Hoover, A.J.C. Ladd, and N.E. Hoover (in preparation).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Luis Garrido

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Hoover, W.G. (1980). Adiabatic Hamiltonian deformation, linear response theory, and nonequilibrium molecular dynamics. In: Garrido, L. (eds) Systems Far from Equilibrium. Lecture Notes in Physics, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0025633

Download citation

  • DOI: https://doi.org/10.1007/BFb0025633

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10251-9

  • Online ISBN: 978-3-540-38344-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics