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Effects of Temperature and Random Forces in Phase Transformation of Multi-Stable Systems
Giuseppe Florio1,2, Stefano Giordano3, Giuseppe Puglisi1
1Department of Civil, Environmental, Land, Building Engineering and Chemistry (DICATECh), Polytechnic University of Bari, Via Orabona 4, 70125 Bari, Italy.
Entropy (Basel, Switzerland)
|January 8, 2025
Summary
Disorder and temperature significantly alter material phase transitions. This study uses a novel model and replica method to analyze these effects, bridging microscale properties to macroscopic behavior.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Statistical Mechanics
Background:
- Microscopic multi-stable behavior drives material phase transformations.
- Disorder and thermal fluctuations critically influence these phenomena, often suppressing cooperativity.
- Understanding these effects requires frameworks like Statistical Mechanics and advanced analytical/numerical methods.
Purpose of the Study:
- To investigate the impact of temperature and disorder on phase transition behavior in a multi-stable system.
- To develop a model incorporating nearest-neighbor and long-range interactions with random fluctuations in external forces.
- To bridge microscale properties to macroscopic material behavior.
Main Methods:
- Numerical analysis of a small-size system with multi-stable energy terms and long-range interactions.
- Inclusion of random fluctuations in external forces to model environmental noise.
- Mapping the model to a modified Random Field Ising Model and applying the replica method in the thermodynamic limit.
Main Results:
- The interplay of temperature and disorder significantly alters phase transition dynamics.
- Numerical simulations reveal changes in system behavior due to fluctuations.
- Analytical insights from the replica method support and explain the observed numerical results.
Conclusions:
- The study provides a theoretical framework to understand the role of disorder and temperature in phase transitions.
- The findings offer a way to derive macroscopic behavior from microscale properties, moving beyond phenomenological approaches.
- The combined numerical and analytical approach validates the model's ability to capture complex material phenomena.
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