Statistical Mechanics: Entropy, Order Parameters, and Complexity
نویسنده
چکیده
The author provides this version of this manuscript with the primary intention of making the text accessible electronically—through web searches and for browsing and study on computers. Oxford University Press retains ownership of the copyright. Hardcopy printing, in particular, is subject to the same copyright rules as they would be for a printed book.
منابع مشابه
Evolution of Information and Complexity in an Ever-Expanding Universe
Using the usual definitions of information and entropy in quantum gravity and statistical mechanics and the existing views about the relation between information and complexity, we examine the evolution of complexity in an ever expanding universe.
متن کاملInvariant correlational entropy and complexity of quantum states
We define correlational ~von Neumann! entropy for an individual quantum state of a system whose timeindependent Hamiltonian contains random parameters and is treated as a member of a statistical ensemble. This entropy is representation independent, and can be calculated as a trace functional of the density matrix which describes the system in its interaction with the noise source. We analyze pe...
متن کاملSome properties of the parametric relative operator entropy
The notion of entropy was introduced by Clausius in 1850, and some of the main steps towards the consolidation of the concept were taken by Boltzmann and Gibbs. Since then several extensions and reformulations have been developed in various disciplines with motivations and applications in different subjects, such as statistical mechanics, information theory, and dynamical systems. Fujii and Kam...
متن کاملAn interacting-agent model of financial markets from the viewpoint of nonextensive statistical mechanics
In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders’ investment attitudes [1], and formulate the traders’ decision-making regarding investment as the maximum entropy principle for nonextensive entropy. We demonstrate that the equili...
متن کاملA new structure entropy of complex networks based on Tsallis nonextensive statistical mechanics
The structure entropy is one of the most important parameters to describe the structure property of the complex networks. Most of the existing structure entropies are based on the degree or the betweenness centrality. In order to describe the structure property of the complex networks more reasonably, a new structure entropy of the complex networks based on the Tsallis nonextensive statistical ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010