翻訳と辞書 Words near each other ・ Transfer secret ・ Transfer stamping ・ Transfer station ・ Transfer Station (Hudson County) ・ Transfer station (waste management) ・ Transfer switch ・ Transfer table ・ Transfer tax ・ Transfer technique ・ Transfer technique (drawing) ・ Transfer Walsh ・ Transfer window ・ Transfer zone ・ Transfer-appropriate processing ・ Transfer-based machine translation ・ Transfer-matrix method ・ Transfer-matrix method (optics) ・ Transfer-messenger RNA ・ Transferability ・ Transferable belief model ・ Transferable skill ・ Transferable skills analysis ・ Transferable utility ・ Transferase ・ Transference ・ Transference (album) ・ Transference (disambiguation) ・ Transference focused psychotherapy ・ Transference neurosis ・ TransferGo Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Transfer-matrix method ： ウィキペディア英語版 Transfer-matrix method In physics and mathematics, the transfer-matrix method is a general technique for solving problems in statistical mechanics. The basic idea is to write the partition function in the form :$$ \mathcal = \mathbf_ \cdot \left\ \mathbf_ \right\} \cdot \mathbf_ where v''0'' and v''N'' are vectors of dimension ''p'' and the ''pxp'' matrices Wk are the so-called transfer matrices. In some cases, particularly for cyclic systems, the partition function may be written more simply as :$$ \mathcal = \mathrm \left\ \mathbf_ \right\} where "tr" denotes the matrix trace. In either case, the partition function may be solved exactly using eigenanalysis. If the matrices are all the same matrix W, the partition function may be approximated as the ''N''th power of the largest eigenvalue of W, since the trace is the sum of the eigenvalues and the eigenvalues of the product of two diagonal matrices equals the product of their individual eigenvalues. The transfer-matrix method is used when the total system can be broken into a ''sequence'' of subsystems that interact only with adjacent subsystems. For example, a three-dimensional cubical lattice of spins in an Ising model can be decomposed into a sequence of two-dimensional planar lattices of spins that interact only adjacently. The dimension ''p'' of the ''pxp'' transfer matrix equals the number of states the subsystem may have; the transfer matrix itself W''k'' encodes the statistical weight associated with a particular state of subsystem ''k-1'' being next to another state of subsystem ''k''. As an example of observables that can be calculated from this method, the probability of a particular state $m$ occurring at position ''x'' is given by: :$$ \mathrm = \frac^ \mathbf_ \mathbf \prod_^ \mathbf_ \right )} ^ \mathbf_ \right ) } Where $Pj$ is the projection matrix for state $m$, having elements $Pj\_\; =\; \backslash delta\_\backslash delta\_$ Transfer-matrix methods have been critical for many exact solutions of problems in statistical mechanics, including the Zimm-Bragg and Lifson-Roig models of the helix-coil transition, transfer matrix models for protein-DNA binding, as well as the famous exact solution of the two-dimensional Ising model by Lars Onsager. == See also == * Transfer operator 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Transfer-matrix method」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.