Entropy of Baker’s Transformation
LUAN Chang-Fu
Department of Mathematics, South China University of Technology, Guangzhou 510640
Entropy of Baker’s Transformation
LUAN Chang-Fu
Department of Mathematics, South China University of Technology, Guangzhou 510640
关键词 :
65.40.Gr ,
65.50.+m ,
67.40.Fd
Abstract : Four theorems about four different kinds of entropies for Baker’s transformation are presented. The Kolmogorov entropy of Baker’s transformation is sensitive to the initial flips by the time. The topological entropy of Baker’s transformation is found to be logk. The conditions for the state of Baker’s transformation to be forbidden are also derived. The relations among the Shanonn, Kolmogorov, topological and Boltzmann entropies are discussed in details.
Key words :
65.40.Gr
65.50.+m
67.40.Fd
出版日期: 2003-03-01
[1]
J. K. Baria. Analysis of Thermodynamics of Liquid d- and f-Shell Metals with the Variational Approach [J]. 中国物理快报, 2003, 20(6): 894-896.
[2]
XIAO Chang-Ming;JIN Guo-Jun;Ma Yu-Qiang. Packing Effect of Excluded Volume on Hard-Sphere Colloids [J]. 中国物理快报, 2001, 18(7): 950-952.
[3]
WANG Li-Min;ZHAN Zai-Ji;SUN Li-Ling;LI Gong;WANG Wen-Kui;
. Structural Relaxation of Pd39 Ni10 Cu30 P21 Bulk Metallic Glass Under High Pressure
[J]. 中国物理快报, 2001, 18(4): 567-569.
[4]
WU Sheng-Jun;WU Qiang;ZHANG Yong-De. Two Theorems on Calculating the Relative Entropy of Entanglement [J]. 中国物理快报, 2001, 18(2): 160-162.
[5]
DUAN Su-Qing;ZHAO Xian-Geng;LIU Shao-Jun;MA Ben-Kun. Effect of the Vibrational Modes on the Ag-Cu Phase Diagram [J]. 中国物理快报, 2000, 17(7): 522-524.
[6]
CHEN Min;YANG Chun;GUO Zeng-Yuan. Monte Carlo Simulation of Argon in Nano-Space [J]. 中国物理快报, 2000, 17(5): 313-315.
[7]
LIU Shao-jun;CAI Jun;DUAN Su-qing;MA Ben-kun. Application of a Simple Semi-empirical Interatomic Potential Model to Phonon Density of States of Fe3 Al [J]. 中国物理快报, 1999, 16(12): 914-916.
[8]
CHEN Luwei;CHEN Chuanhong. Lattice Dynamics of β-Si3 N4 [J]. 中国物理快报, 1994, 11(5): 281-284.