English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we attempt to derive the expression of ensemble averageinternal energy in long-range interaction complex system. Further, the Shannonentropy hypothesis is used to derive the probability distribution function ofenergy. It is worth mentioning that the probability distribution function ofenergy can be equivalent to the q-Gaussian distribution given by Tsallis basedon nonextensive entropy. In order to verify the practical significance of thismodel, it is applied to the older subject of income system. The classic incomedistribution is two-stage, the most recognized low-income distribution is theexponential form, and the high-income distribution is the recognized Paretopower law distribution. The probability distribution can explain the entiredistribution of United States income data. In addition, the internal energy,entropy and temperature of the United States income system can be calculated,and the economic crisis in the United States in recent years can be presented.It is believed that the model will be further improved and extended to otherareas.

The expression of ensemble average internal energy in long-range interaction complex system and its statistical physical properties