Relating Thermodynamics to Information Theory: the Equality of Free Energy and Mutual Information
نویسنده
چکیده
.......•. ..•.... .. .... .......... ..... ............ iv LIST OF FIGURES. . • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi CHAPTER I .................................................. 1 Thesis Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Statistical Mechanics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Classical thermodynamics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 The principle of maximum entropy ......................... . 22 Information Theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 The relation between thermodynamics and information theory. . . . . . 33 CHAPTER II. . . . . . . . . . . . . . . . . . . . . . . . . . • . • . . . . . . . . . . . . . . . . . . . . 42 Relating free energy and mutual information. . . . . . . . . . . . . . . . . . . 42 Markov p1'0Ce81!1e8 in the spectral repreeentation. . . . . . . . . . . . . . . . . 69 Expanding if(n)raround equilibrium The 2x.2 case ........... 66 The rereferencing theorem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 if(n)rin the general cue. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 A composition law for Hln)r-n ............................. 81 CONCLUSION. . . . . . . . . . . . . . . . . • • . . . . . . . . . . . . • . . . . . . . . . . . . . . . . 87 BIBLIOGRAPHY .......•...............•.......•............... 90
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