[Paper Review] The criteria of order change in open system: the statistical approach

В. И. Шаповалов|ArXiv.org|Jan 14, 2008

Statistical and Computational Modeling1 references3 citations

TL;DR

This paper proposes a statistical framework to determine the sign of entropy change in open systems, introducing concepts like entrostat, degree of openness, and critical ordering level. It demonstrates that entropy oscillations can occur in stationary states and establishes entropy laws as foundational for global system trends.

ABSTRACT

The criteria determining the sign of entropy change in the open system are formulated. The concepts of entrostat, degree of openness, critical level of ordering are entered. The opportunity of occurrence of entropy oscillations in a stationary status is shown. The important role of considered of entropy laws in formation of the global tendencies.

Motivation & Objective

• To establish criteria for predicting the direction of entropy change in open systems.
• To define the degree of openness and its influence on entropy dynamics.
• To introduce the concept of a critical ordering level for phase transitions in open systems.
• To analyze the possibility of entropy oscillations in stationary states.
• To explore the role of entropy laws in shaping large-scale system behaviors and global tendencies.

Proposed method

• Formulates entropy change criteria using statistical mechanics principles applied to open systems.
• Introduces the 'entrostat' as a model system to analyze entropy exchange with the environment.
• Defines the 'degree of openness' as a dimensionless parameter quantifying system-environment interaction.
• Derives conditions under which entropy change can oscillate in steady-state regimes.
• Applies thermodynamic and statistical laws to predict transitions between ordered and disordered states.
• Uses mathematical modeling to identify the critical level of ordering where system behavior shifts qualitatively.

Experimental results

Research questions

• RQ1 What determines the sign of entropy change in an open system?
• RQ2 How does the degree of openness influence entropy dynamics?
• RQ3 Under what conditions can entropy oscillations occur in a stationary open system?
• RQ4 What is the role of the critical ordering level in system transitions?
• RQ5 How do entropy laws govern the emergence of global system trends?

Key findings

• The sign of entropy change in open systems is determined by a balance between internal entropy production and environmental exchange, governed by statistical criteria.
• The concept of an entrostat enables systematic analysis of entropy flow in open systems.
• Entropy oscillations are theoretically possible in stationary states under specific conditions of energy and matter exchange.
• The critical level of ordering marks a threshold where system behavior transitions from disorder-dominated to order-dominated regimes.
• Entropy laws play a fundamental role in shaping long-term, large-scale system evolution and global tendencies.
• The degree of openness quantitatively influences the likelihood and magnitude of entropy changes in open systems.