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電子ブック
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1. Complexity : hierarchical structures and scaling in physics
R. Badii, A. Politi
出版情報: Cambridge University Press, 2009  1 online resource (xiii, 318 p.)
シリーズ名: Cambridge nonlinear science series ; 6
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目次情報: 続きを見る
Phenomenology and Models / Part I：
Introduction / 1：
Examples of complex behaviour / 2：
Mathematical models / 3：
Symbolic representations of physical systems / Part II：
Probability, ergodic theory, and information / 5：
Thermodynamic formalism / 6：
Formal Characterization of Complexity / Part III：
Physical and computational analysis of symbolic signals / 7：
Algorithmic and grammatical complexities / 8：
Hierarchical scaling complexities / 9：
Summary and perspectives / 10：
Phenomenology and Models / Part I：
Introduction / 1：
Examples of complex behaviour / 2：
2.

電子ブック
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2. Thermodynamics of one-dimensional solvable models
Minoru Takahashi
出版情報: Cambridge University Press, 2009  1 online resource (xiii, 252 p.)
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目次情報: 続きを見る
Thermodynamics of Non-Interacting Systems and Ground States on Interacting Systems / Part I：
Free energy and correlation functions of XY models / 1：
Systems with delta-function potential / 2：
Isotropic Heisenberg model / 3：
XXZ model / 4：
XYZ and eight-vertex models / 5：
Hubbard model / 6：
Finite Temperature Integral Equations for Un-Nested Systems / Part II：
Repulsive delta-function bosons / 7：
Thermodynamics of the XXX chain / 8：
Thermodynamics of the XXZ model / 9：
Thermodynamics of the XYZ model / 10：
Low-temperature thermodynamics / 11：
Finite Temperature Integral Equations for Nested Systems / Part III：
S=1/2 fermions with repulsive potential in the continuum / 12：
S=1/2 fermions with an attractive potential / 13：
Thermodynamics of the Hubbard model / 14：
Quantum Transfer Matrix and Recent Developments / Part IV：
Transfer matrix and correlation length / 15：
The spin 1/2 XXZ model in a magnetic field / 16：
The XYZ model with no magnetic field / 17：
Recent developments and related topics / 18：
Thermodynamics of Non-Interacting Systems and Ground States on Interacting Systems / Part I：
Free energy and correlation functions of XY models / 1：
Systems with delta-function potential / 2：
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