Related Experiment Video
Updated: Jul 8, 2025

Surrogate Model Development for Digital Experiments in Welding
Published on: March 28, 2025
Bound on annealing performance from stochastic thermodynamics, with application to simulated annealing
Yutong Luo1,2, Yi-Zheng Zhen3,4, Xiangjing Liu2
1Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom.
Abstract:
Annealing is the process of gradually lowering the temperature of a system to guide it towards its lowest energy states. In an accompanying paper [Y. Luo et al., Phys. Rev. E 108, L052105 (2023)10.1103/PhysRevE.108.L052105], we derived a general bound on annealing performance by connecting annealing with stochastic thermodynamics tools, including a speed limit on state transformation from entropy production. We here describe the derivation of the general bound in detail. In addition, we analyze the case of simulated annealing with Glauber dynamics in depth. We show how to bound the two case-specific quantities appearing in the bound, namely the activity, a measure of the number of microstate jumps, and the change in relative entropy between the state and the instantaneous thermal state, which is due to temperature variation. We exemplify the arguments by numerical simulations on the Sherrington-Kirkpatrick (SK) model of spin glasses.
Related Concept Videos
First Law of Thermodynamics
Temperature Dependent Deformation
Second Law of Thermodynamics
Entropy
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
Entropy and the Second Law of Thermodynamics
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
Third Law of Thermodynamics

