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Apparent hysteresis in a driven system with self-organized drag.
Mikko Haataja1, David J Srolovitz, Ioannis G Kevrekidis
1Princeton Materials Institute and Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA. haataja@mcmaster.ca
Physical Review Letters
|June 1, 2004
Summary
Defect motion in materials shows hysteresis due to impurity interactions, causing transitions between slow and fast migration states. Kinetic Monte Carlo simulations reveal an effective potential describing these hysteretic behaviors and transition kinetics.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Computational Materials Science
Background:
- Extended defects in materials interact with diffusing impurities, influencing their motion.
- This interaction can lead to transitions between slow and fast migration kinetics.
- Such transitions are often characterized by hysteresis, where the defect's state depends on its history.
Purpose of the Study:
- To explore and quantitatively describe the hysteretic motion of extended defects in materials.
- To develop a method for predicting the observation and nature of hysteresis in simulations.
- To understand the underlying kinetics of transitions between different defect migration states.
Main Methods:
- Kinetic Monte Carlo (KMC) simulations were employed to model defect motion.
- Identification of slow variables governing the system's dynamics.
- Construction of an effective potential to describe stable and metastable states and transition kinetics.
Main Results:
- The study quantitatively describes the bifurcation diagram of the system, illustrating stable and metastable states.
- The effective potential accurately models the kinetics of transitions between different migration states.
- A method is established to determine the presence and characteristics of hysteresis in simulations.
Conclusions:
- Hysteresis in defect migration is a significant phenomenon driven by impurity interactions.
- The developed effective potential provides a powerful tool for analyzing and predicting hysteretic behavior.
- This work offers insights into the switching times and detailed nature of defect motion hysteresis.