翻訳と辞書 Words near each other ・ Confidentially Connie ・ Confidentially Yours ・ Confield ・ Confienza ・ CONFIG.SYS ・ Configfs ・ Configni ・ Confignon ・ Configurable Fault Tolerant Processor ・ Configurable modularity ・ Configurable Network Computing ・ Configural frequency analysis ・ Configuration ・ Configuration (geometry) ・ Configuration design ・ Configuration entropy ・ Configuration factor ・ Configuration file ・ Configuration graph ・ Configuration interaction ・ Configuration item ・ Configuration management ・ Configuration Management (ITSM) ・ Configuration management database ・ Configuration Management Specialist Group ・ Configuration Menu Language ・ Configuration space ・ Configuration state function ・ Configurational analysis ・ Configurational mechanics 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 Configuration entropy ： ウィキペディア英語版 Configuration entropy In statistical mechanics, configuration entropy is the portion of a system's entropy that is related to the position of its constituent particles rather than to their velocity or momentum. It is physically related to the number of ways of arranging all the particles of the system while maintaining some overall set of specified system properties, such as energy. It can be shown that the variation of configuration entropy of thermodynamic systems (e.g., ideal gas, and other systems with a vast number of internal degrees of freedom) in thermodynamic processes is equivalent to the variation of the ''macroscopic entropy'' defined as ''dS = δQ/T'', where ''δQ'' is the heat exchanged between the system and the surrounding media, and ''T'' is temperature. Therefore configuration entropy is the same as macroscopic entropy. == Calculation == The configurational entropy is related to the number of possible configurations by Boltzmann's entropy formula :$S\; =\; k\_B\; \backslash ,\; \backslash ln\; W,$ where ''k''''B'' is the Boltzmann constant and ''W'' is the number of possible configurations. In a more general formulation, if a system can be in states ''n'' with probabilities ''P''''n'', the configurational entropy of the system is given by :$S\; =\; -\; k\_B\; \backslash ,\; \backslash sum\_^W\; P\_n\; \backslash ln\; P\_n,$ which in the perfect disorder limit (all ''P''''n'' = 1/''W'') leads to Boltzmann's formula, while in the opposite limit (one configuration with probability 1), the entropy vanishes. This formulation is analogous to that of Shannon's information entropy. The mathematical field of combinatorics, and in particular the mathematics of combinations and permutations is highly important in the calculation of configurational entropy. In particular, this field of mathematics offers formalized approaches for calculating the number of ways of choosing or arranging discrete objects; in this case, atoms or molecules. However, it is important to note that the positions of molecules are not strictly speaking ''discrete'' above the quantum level. Thus a variety of approximations may be used in discretizing a system to allow for a purely combinatorial approach. Alternatively, integral methods may be used in some cases to work directly with continuous position functions. A second approach used (most often in computer simulations, but also analytically) to determine the configurational entropy is the Widom insertion method. 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「Configuration entropy」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.