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cond-mat.stat-mech2024
Kibble-Zurek mechanism in driven underdamped Brownian motion
Pierre Nazé
Kibble-Zurek mechanism is widely known to appear in the transverse-field quantum Ising chain in the thermodynamic limit at zero temperature, having notorious characteristics, like…
cond-mat.stat-mech2024
Hamilton's equations for relaxation function
Pierre Nazé
The relaxation function is the cornerstone to perform calculations in weakly driven processes. Properties that such a function should obey are already established, but the difficul…
cond-mat.stat-mech2024
Fluctuation-optimization theorem
Pierre Nazé
A fluctuation theorem relating the work to its optimal average work is presented. The function mediating the relation is increasing and convex, and depends on the switching time $τ…