Unifying Kibble–Zurek Mechanism in Weakly Driven Processes
Abstract
A description of the Kibble-Zurek mechanism with linear response theory has been done previously, but ad hoc hypotheses were used, such as the rate-dependent impulse window via the Zurek equation in the context of no driving in the relaxation time. In this work, I present a new framework where such hypotheses are unnecessary while preserving all the characteristics of the phenomenon. The Kibble-Zurek scaling obtained for the excess work is close to 2/5, a result that holds for open and thermally isolated systems with relaxation time that diverges at the critical point and the first zero of the relaxation function is finite. I exemplify the results using four different but significant types of scaling functions.
Fields of Study & Subjects
Advanced Thermodynamics and Statistical Mechanics
Theoretical and Computational Physics
Nonlinear Dynamics and Pattern Formation
Publication details
- Journal / source
- Entropy
- Volume
- 28
- Issue
- 1
- Pages
- 66–66
- Publication date
- 6 January 2026
- Language
- EN