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Inferring intermediate states by leveraging the many-body Arrhenius law
Vishwajeet Kumar1,2, Arnab Pal1,2, Ohad Shpielberg3,4
1The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India.
The Journal of Chemical Physics
|December 8, 2025
Summary
We present a new method to identify long-lived metastable states in complex systems. This approach, based on a generalized many-body Arrhenius law, helps understand energy landscapes and particle transport dynamics.
Area of Science:
- Physics
- Physical Chemistry
- Statistical Mechanics
Background:
- Metastable states are crucial intermediate states in transport phenomena governed by energy landscapes.
- These states significantly influence system dynamics and exploration pathways.
- Quantifying metastability is key to understanding underlying energy landscapes.
Purpose of the Study:
- To introduce a robust method for identifying metastable states.
- To analyze escape problems involving interacting particles with excluded volume.
Main Methods:
- Development of a generalized many-body Arrhenius law.
- Application to systems with interacting particles and excluded volume.
Main Results:
- The proposed method effectively identifies metastable states.
- Provides insights into the dynamics of particle transport and energy landscape exploration.
Conclusions:
- The generalized many-body Arrhenius law offers a powerful tool for quantifying metastability.
- Predictions can be validated in experimental systems like colloidal transport and macromolecular translocation.
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