Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Development and regression of a large fluctuation.

Federico Corberi¹

¹Dipartimento di Fisica "E. R. Caianiello" and INFN, Gruppo Collegato di Salerno, and CNISM, Unità di Salerno, Università di Salerno, via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.

Physical Review. E

|April 19, 2017

Summary

This study examines large fluctuations in statistical systems. Generating these rare events or returning to normal states is a slow process, characterized by power-law growth.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Coarsening and metastability of the long-range voter model in three dimensions.

Physical review. E·2024

Same author

Ordering kinetics of the two-dimensional voter model with long-range interactions.

Physical review. E·2024

Same author

Phase ordering dynamics of the random-field long-range Ising model in one dimension.

Physical review. E·2023

Same author

Unveiling Charge-Transport Mechanisms in Electronic Devices Based on Defect-Engineered MoS<sub>2</sub> Covalent Networks.

Advanced materials (Deerfield Beach, Fla.)·2023

Same author

Asymptotic states of Ising ferromagnets with long-range interactions.

Physical review. E·2022

Same author

Maximal Diversity and Zipf's Law.

Physical review letters·2021

Area of Science:

Statistical Mechanics
Non-equilibrium Systems
Complex Systems

Background:

Understanding large fluctuations is crucial in statistical mechanics.
Many physical and biological systems exhibit complex dynamics.
Analyzing deviations from average behavior provides insights into system properties.

Purpose of the Study:

To analytically study the evolution towards and from large fluctuations in a statistical mechanical system.
To introduce a simplified model for investigating non-typical states.
To characterize the dynamics of rare events and their regression.

Main Methods:

Development and analytical study of a simple model with many independent microscopic variables.
Utilizing a master equation to describe the system's evolution.
Analyzing the behavior of the sum of microscopic variables (N) over time.

Main Results:

The process of generating a large, non-typical fluctuation (N >> ) is shown to be slow.
This slow process is characterized by the power-law growth of the maximum observable value of N at time t.
Similar power-law characteristics are observed for the regression process from a rare state back to a typical state.

Conclusions:

Large fluctuations in this model are not easily reached or escaped, indicating slow dynamics.
The power-law behavior provides a quantitative description of the time scales involved in rare events.
The findings have implications for understanding the dynamics of complex systems far from equilibrium.

Related Experiment Videos