Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-7bb8b95d7b-nptnm Total loading time: 0 Render date: 2024-09-12T14:15:30.386Z Has data issue: false hasContentIssue false

6 - Entropy and dissipation: the microscopic theory

Published online by Cambridge University Press:  05 August 2015

William C. Schieve  and
Lawrence P. Horwitz
William C. Schieve
Affiliation:
University of Texas, Austin
Lawrence P. Horwitz
Affiliation:
Tel-Aviv University
Get access

Summary

A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Quantum Statistical Mechanics , pp. 98 - 122
Publisher: Cambridge University Press
Print publication year: 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Balescu, R. (1975). Equilibrium and Non-equilibrium Statistical Mechanics (New York, Wiley), rev. 1999 as Matter out of Equilibrium (London, Imperial College Press).Google Scholar
Bocchieri, P. and Loinger, A. (1957). Phys. Rev. 107, 337.CrossRef
Boltzmann, L. (1872). Further studies on the thermal equilibrium of gas molecules. Trans. S., Brush (1966) in Kinetic Theory 2 (London, Pergamon).Google Scholar
Boltzmann, L. (1896). Reply to Zermello's remarks on the theory of heat. Trans. S., Brush (1966) in Kinetic Theory 2 (London, Pergamon).Google Scholar
Brush, S. (1966). Kinetic Theory 2 (Oxford, Pergamon).Google Scholar
Callen, H. (1985). Thermodynamics, 2nd edn. (New York, Wiley).Google Scholar
Chandresekhar, S. (1943). Rev. Mod. Phys. 15, 1.CrossRef
Chapman, S. and Cowling, T. G. (1970). The Mathematical Theory of Non-uniform Gases, 3rd edn. (London, Cambridge University Press).Google Scholar
de Groot, S. R. and Mazur, P. (1962). Non-equilibrium Thermodynamics (Amsterdam, North-Holland).Google Scholar
Feynman, R. P. (1988). Quantum Implications in Honor of David Bohm, ed. B. J., Hiley and F. D., Peat (London, Routledge).Google Scholar
Gorini, V., Frigerio, A., Kossakowski, A. and Sudarshan, E. C. G. (1978). Rep. Math. Phys. 13, 149.CrossRef
Green, H. S. (1951). J. Math. Phys. 2, 344.CrossRef
Huang, K. (1987). Statistical Mechanics, 2nd edn. (New York, Wiley).Google Scholar
Hudson, R. (1974). Rep. Math. Phys. 6, 249.CrossRef
Jou, D. (1993, 1996). Extended Irreversible Thermodynamics (New York, Berlin, Springer).CrossRefGoogle Scholar
Kondipudi, D. and Prigogine, I. (1998). Modern Thermodynamics (New York, Berlin, Wiley).Google Scholar
Kossakowski, A. (1972). Rep. Math. Phys. 3, 247.CrossRef
Kossakowski, A., Frigerio, A., Gorini, V. and Verri, M. (1977). Commun. Math. Phys.57.
Kubo, R. (1957). J. Phys. Soc. Jpn. 12, 570.CrossRef
Lasalle, J. P. and Lefschitz, S. (1961). Stability by Liapunov's Direct Method with Applications (New York, Academic Press).Google Scholar
Lebowitz, J. (1993). Phys. Today, Sept., 32.CrossRef
Lebowitz, J. and Shimony, A. (1962). Phys. Rev. 128, 391.CrossRef
Liapunov, A. M. (1949). Problème général de la stabilité du movement. Ann. Math. Studies 17 (Princeton, Princeton University Press).Google Scholar
Lindblad, G. L. (1976). Commun. Math. Phys. 48, 119.CrossRef
Mackey, M. G. (1992). Time's Arrow: The Origins of Thermodynamic Behaviour (New York, Springer).Google Scholar
McLennan, J. A. (1989). Introduction to Non-equilibrium Statistical Mechanics (Englewood Cliffs N.J.: Prentice Hall).Google Scholar
Munro, W. J. and Gardiner, C. W. (1996). Phys.Rev. A 53, 2633.CrossRef
Onsager, L. (1931). Phys. Rev. 37, 405 and 38, 2265.CrossRef
Pauli, W. (1928). Festschrift zum 60 Geburtstag A. Sommerfeld. (Leipzig, Hirzl).Google Scholar
Percival, I. (1961). J. Math. Phys. 2, 235.CrossRef
Poincaré, H. (1890). “Sur le probléme des trois corps et les equations de la dynamique,”Acta Math., 13, 1.Google Scholar
Prigogine, I. (1967). Introduction to Thermodynamics of Irreversible Processes (New York, Interscience).Google Scholar
Prigogine, I. (1973). Statistical interpretation of non-equilibrium entropy. In Acta Physica Austriaca, Suppl. 10, The Boltzmann Equation, ed. G. D., Cohen and W., Thirring (New York, Springer).Google Scholar
Schleich, W. P. (2001). Quantum Optics in Phase Space (Berlin, Wiley-VCH).CrossRefGoogle Scholar
Spohn, H. and Lebowitz, J. L. (1978). Adv. Chem. Phys. 38, 109, ed. S. A., Rice and I., Prigogine. (New York, Wiley).Google Scholar
Voigt, J. (1981). Commun. Math. Phys. 81, 31.CrossRef
Zermelo, E. (1896). On the mechanical explanation of irreversible processes. Trans. S., Brush (1966) in Kinetic Theory, 2 (London, Pergamon).Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×