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Titlebook: Real-Space Renormalization; Theodore W. Burkhardt,J. M. J. Leeuwen Book 1982 Springer-Verlag Berlin Heidelberg 1982 Renormalization group.

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书目名称Real-Space Renormalization
编辑Theodore W. Burkhardt,J. M. J. Leeuwen
视频video
丛书名称Topics in Current Physics
图书封面Titlebook: Real-Space Renormalization;  Theodore W. Burkhardt,J. M. J. Leeuwen Book 1982 Springer-Verlag Berlin Heidelberg 1982 Renormalization group.
描述The renormalization-group approach is largely responsible for the considerable success which has been achieved in the last ten years in developing a complete quantitative theory of phase transitions. Before, there was a useful physical picture of phase transitions, but a general method for making accurate quantitative predictions was lacking. Existent theories, such as the mean-field theory of Landau, sometimes reproduce phase diagrams reliably but were known to fail qualitatively near critical points, where the critical behavior is particularly interesting be­ cause of its universal character. In the mid 1960‘s Widom found that the singularities in thermodynamic quanti­ ties were well described by homogeneous functions. Kadanoff extended the homogeneity hypothesis to correlation functions and linked it to the idea of scale invariance. In the early 1970‘s Wilson showed how Kadanoff‘s rescaling could be explicitly carried out near the fixed point of a flow in Hamiltonian space. He made the first practical renormalization-group calculation of the flow induced by the elimination of short-wave-length Fourier components of the order-parameter field. The univer­ sality of the critical be
出版日期Book 1982
关键词Renormalization group; Renormierung; Space; behavior; field theory; phase; phase diagram; phase transition;
版次1
doihttps://doi.org/10.1007/978-3-642-81825-7
isbn_softcover978-3-642-81827-1
isbn_ebook978-3-642-81825-7Series ISSN 0342-6793
issn_series 0342-6793
copyrightSpringer-Verlag Berlin Heidelberg 1982
The information of publication is updating

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The Real Space Dynamic Renormalization Group,n-group transformation must satisfy in the dynamic case are elucidated. The systematic implementation of these conditions for the case of the square-lattice kinetic Ising model is given in detail, and results for the static and dynamic correlation functions in that case are presented.
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Progress and Problems in Real-Space Renormalization,iculties with the approach are discussed, in particular the proliferation of interactions, the ambiguity in the choice of the weight function, and the peculiarities in the thermodynamic limit noted by GRIFFITHS and PEARCE. Two methods which avoid the problem of proliferation of interactions are cons
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The Real Space Dynamic Renormalization Group,space- and time-dependent correlation functions at a wide range of wave numbers, frequencies, and temperatures. The conditions that the renormalization-group transformation must satisfy in the dynamic case are elucidated. The systematic implementation of these conditions for the case of the square-l
发表于 2025-3-23 01:27:12 | 显示全部楼层
Renormalization for Quantum Systems,at T = 0 leads to the manifestation of quantum-classical crossover phenomena in classical transitions at low temperatures. The real space renormalization group methods introduced for classical systems have been extended to quantum systems at T ≠ 0. At T = 0 a block renormalization group method has b
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Application of the Real-Space Renormalization to Adsorbed Systems,ed. Preservation of symmetries of the ground states by the renormalization-group transformation is stressed. Two methods that ensure this are presented: the sublattice method and the prefacing transformation. The concept of the vacancy, often associated with the use of the latter method, is introduc
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