About Appearance of the Irreversibility

• 作者: Igor V. Lebed
• 来源期刊: 流体动力学(英文)
• 学科: 数学
• 关键词: IRREVERSIBILITY Direct EQUATIONS REVERSE EQUATIONS INSTABILITY Multimoment HYDRODYNAMICS
• 年，卷（期）: 2014,（3）
• 页码范围: 298-320
• 页数: 23页
• 分类号: O1

摘要

The inevitability of arising in equations of kinetics and hydrodynamics irreversibility not contained in original equations of classic mechanics is substantiated. It is established that transfer of information about the direction of system evolution from initial conditions to resulting equations is the consequence of losing information about the position of an individual particle in space, which takes place at roughening description. It is shown that the roughening with respect to impact parameters of colliding particles is responsible for appearance of the irreversibility in resulting equations. Direct equations of kinetics and hydrodynamics are the result of roughening distribution functions with respect to impact parameters of particles, which have not yet reached the domain of their interaction. The direct equations are valid for the progressive direction of timing on the time axis pointing from the past to the future. Reverse equations of kinetics and hydrodynamics are the result of roughening distribution functions with respect to impact parameters of particles, which have already left the domain of their interaction. The reverse equations are valid for the progressive direction of timing on the time axis pointing from the future to the past.