Generalised information and entropy measures in physics
نویسنده
چکیده
The formalism of statistical mechanics can be generalised by starting from more general measures of information than the Shannon entropy and maximising those subject to suitable constraints. We discuss some of the most important examples of information measures that are useful for the description of complex systems. Examples treated are the Rényi entropy, Tsallis entropy, Abe entropy, Kaniadakis entropy, Sharma–Mittal entropies, and a few more. Important concepts such as the axiomatic foundations, composability and Lesche stability of information measures are briefly discussed. Potential applications in physics include complex systems with long-range interactions and metastable states, scattering processes in particle physics, hydrodynamic turbulence, defect turbulence, optical lattices, and quite generally driven nonequilibrium systems with fluctuations of temperature.
منابع مشابه
INFORMATION MEASURES BASED TOPSIS METHOD FOR MULTICRITERIA DECISION MAKING PROBLEM IN INTUITIONISTIC FUZZY ENVIRONMENT
In the fuzzy set theory, information measures play a paramount role in several areas such as decision making, pattern recognition etc. In this paper, similarity measure based on cosine function and entropy measures based on logarithmic function for IFSs are proposed. Comparisons of proposed similarity and entropy measures with the existing ones are listed. Numerical results limpidly betoken th...
متن کاملA Generalised-Mutual-Information-Based Oracle for Hierarchical Radiosity
One of the main problems in the radiosity method is how to discretise a scene into mesh elements that allow us to accurately represent illumination. In this paper we present a new refinement criterion for hierarchical radiosity based on the continuous and discrete generalised mutual information measures between two patches or elements. These measures, derived from the generalised entropy of Har...
متن کاملThe Tsallis Distribution and Generalised Entropy: Prospects for Future Research into Decision-Making under Uncertainty
1. Introduction This paper reviews recent work on the properties of Tsallis distributions, Tsallis statistics, anomalous diffusion and multi-fractal processes. Processes of this kind have the capacity to represent natural phenomena that are associated with turbulence and emerging complexity. However, in addition they may also capture crucial aspects of human decision-making in response to condi...
متن کاملInformation - Theoretic Refinement Criteria for Image Synthesis
This work is framed within the context of computer graphics starting out from the intersection of three fields: rendering , information theory , and complexity . Initially, the concept of scene complexity is analysed considering three perspectives from a geometric visibility point of view: complexity at an interior point , complexity of an animation, and complexity of a region. The main focus o...
متن کاملEvolution 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 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 2009