10 papers
Linear optimal protocol for physical constraints in weakly driven processes
Pierre Nazé
The minimization of irreversible work in weakly driven systems within linear response under physical constraints on the protocol derivative is studied. The problem reduces to a shi…
A self-consistent criterion for the range of validity of weakly driven processes
Pierre Nazé
One of the longstanding open questions in linear response theory concerns its true range of validity. Determining when the linear approximation can be trusted typically requires kn…
Work probability distribution of weakly driven process in overdamped dynamics
Pierre Nazé
Analytical work probability distributions for open classical systems are scarce; they can only be calculated in a few examples. In this work, I present a new method to derive such…
Minimal dissipation with viscoelastic baths in weakly driven processes
Pierre Nazé, Fabricio Q. Potiguar
We investigate the thermodynamics of overdamped systems weakly driven by time-dependent protocols while interacting with viscoelastic heat baths. Using a generalized Langevin equat…
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…
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…
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…
Optimal work fluctuations for thermally isolated systems in weak processes
Pierre Nazé
The fluctuation-dissipation relation for the classical definition of work is extended to thermally isolated systems, in classical and quantum realms. From this, the optimal work va…
Probability distribution of classical observables
Pierre Nazé
In this work, I derive the time-dependent probability density function of classical observables using the Hamiltonian mechanics approach, extending the notion of fluctuation theore…
Nonlinear response of the irreversible work via generalized relaxation functions
Pierre Nazé
The nonlinear response of the excess work, when made via series expansion in the parameter perturbation of the average thermodynamic work, requires adjustments to agree with the Se…