A bound for the topological entropy of homeomorphisms of a by Biryukov O.N.

By Biryukov O.N.

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34] Pusz, W. and Woronowicz, L, Commun. Math. Phys. 58 273 (1978). , J. Stat. Phys. 19 575 (1978). 32 Challenges to the Second Law ˇ apek, V. , Europhys. Letters 48 365 (1999). , private communications (2004). , Microcanonical Thermodynamics, World Scientific Lecture Notes in Physics, Volume 66, (World Scientific, Singapore, 2001). , Rev. Mod. Phys. 50 221 (1978). , Wiener Ber. 75 67; 76 373 (1877). , Elementary Principles in Statistical Mechanics (Yale University Press, Boston, 1902). , The Principles of Statistical Mechanics (Oxford University Press, Oxford, 1938).

The first, most enduring, and most edifying of these is James Clark Maxwell’s celebrated demon. Here we only sketch the many lives and reported deaths of this clever gedanken heat fairy, since an adequate treatment would fill an entire volume by itself. A superb discussion and anthology is presented by Leff and Rex [1]. Maxwell’s demon was born with a letter from Maxwell to Peter Guthrie Tait in 1867. Maxwell’s intention was “to pick a hole” in the second law by imagining a process whereby molecules could be processed on an individual basis so as to engineer microscopically a temperature gradient.

80, 931 (1995). , Phys. Today 57, 48 (2004). , Non Equilibrium Statistical Mechanics (Wiley and Sons, New York, 1962). J. , Statistical Mechanics of Nonequilibrium Liquids (Academic Press, London, 1990). , Introduction to Nonlinear Science (Cambridge University Press, New York, 1995). , Chaos, Scattering, and Statistical Mechanics (Cambridge University Press, New York, 1998). , An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, New York, 1999). , Rep. Prog.

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