By Setsuo Ichimaru
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Additional resources for Statistical Plasma Physics, Volume I: Basic Principles (Frontiers in Physics, Vol 87) (v. 1)
Sci. 105, 459 (2008) 30. C. Robinson, Dynamical Systems (CRC Press, London, 1995) 31. A. Katok, B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems. Encyclopedia of Mathematics and its Applications, vol. 54 (Cambridge University Press, Cambridge, 1995) 32. V. Arnold, A. A. Benjamin, New York, 1968) 33. M. Toda, R. Kubo, N. Saitˆo, Statistical Physics, 2nd edn. Solid State Sciences, vol. 1 (Springer, Berlin, 1992) 34. S. Young, J. Stat. Phys. 108, 733 (2002) 40 R. Klages 35. P.
51) with γ := 1/(z − 1), which for z ≥ 2 is identical to α of Eq. 50). In Fig. 8 this analytical approximation for K is compared with computer simulation results as a function of z for fixed a. There is good qualitative agreement between theory and simulations for z > 2, which converge asymptotically to each other for large z. For z < 2 there is a reasonable qualitative agreement, though quantitative deviations, for z close to 2, while the theory does not work anymore for z → 0, a problem that is discussed in .
Ruelle, Rev. Mod. Phys. 57, 617 (1985) 36. V. Baladi, Positive Transfer Operators and Decay of Correlations. Advanced Series in Nonlinear Dynamics, vol. 16 (World Scientific, Singapore, 2000) 37. R. Badii, A. Politi, Complexity: Hierarchical Structures and Scaling Physics (Cambridge University Press, Cambridge, 1997) 38. Y. Pomeau, P. Manneville, Commun. Math. Phys. 74, 189 (1980) 39. R. Devaney, An Introduction to Chaotic Dynamical Systems, 2nd edn. (Addison-Wesley, Reading, 1989) 40. M. Thaler, Israel J.
Statistical Plasma Physics, Volume I: Basic Principles (Frontiers in Physics, Vol 87) (v. 1) by Setsuo Ichimaru