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Statistical mechanics : theory and molecular simulation /

Tuckerman, Mark E.

Statistical mechanics : theory and molecular simulation / Mark E. Tuckerman. - Oxford ; New York : Oxford University Press, 2010. - xv, 696 p. : ill. ; 26 cm. - Oxford graduate texts. .

Includes bibliographical references (p. [671]-686) and index.

Classical mechanics --
Theoretical foundations of classical statistical mechanics --
The microcanonical ensemble and introduction to molecular dynamics --
The canonical ensemble --
The isobaric ensembles --
The grand canonical ensemble --
Monte Carlo --
Free energy calculations --
Quantum mechanics --
Quantum ensembles and the density matrix --
The quantum ideal gases: Fermi-Dirac and Bose-Einstein statistics --
The Feynman path integral --
Classical time-dependent statistical mechanics --
Quantum time-dependent statistical mechanics --
The Langevin and generalized Langevin equations --
Critical phenomena --
Appendix A: Properties of the Dirac delta-function --
Appendix B: Evaluation of energies and forces --
Appendix C: Proof of the Trotter theorem --
Appendix D: Laplace transforms.

This work contains a detailed review of classical and quantum mechanics, in-depth discussions of the most commonly used ensembles simultaneously with modern computational techniques such as molecular dynamics. It also covers important topics such as free-energy calculations, linear-response theory and critical phenomena.

9780198525264 (hbk.) 0198525265 (hbk.)

2010278327


Statistical mechanics.

QC174.8 / .T83 2010

530.13 / T.M.S