| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
27 April 2024 |
|
| | | |
|
Article forum
| |
|
On the Dynamic Statistical Information Theory | Xing Xiu-San
; | Date: |
30 Apr 2005 | Subject: | Statistical Mechanics; Materials Science | cond-mat.stat-mech cond-mat.mtrl-sci | Abstract: | We extend present Shannon’s static statistical information theory to dynamic processes and establish a dynamic statistical information theory. We derive the nonlinear evolution equations of dynamic information density and dynamic information entropy density. We present the expressions of drift information flow and diffusion information flow, the formulas of information entropy production rate and information dissipation rate. The information dissipation rate is equal to the information entropy production rate in a same dynamic system. Information diffusion and information dissipation occur at the same time. We obtain the dynamic mutual information and dynamic channel capacity reflecting the dynamic dissipation character in the transmission process. These derivations and results are unified and rigorous from evolution equations of dynamic information and dynamic information entropy without adding any extra assumption. Two actual dynamic topics are discussed. | Source: | arXiv, cond-mat/0505009 | Other source: | [GID 870324] cond-mat/0505009 | Services: | Forum | Review | PDF | Favorites |
|
|
No message found in this article forum.
You have a question or message about this article?
Ask the community and write a message in the forum.
If you want to rate this article, please use the review section..
To add a message in the forum, you need to login or register first. (free): registration page
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |