From the 1 of 5 linked papers with an AI index.
5 papers
Optimal preparation and reachable-state constraints in the Mpemba effect
C. RÃos-Monje, A. Patrón-Castro, C. A. Plata +2
The paper investigates how to optimally prepare initial states of uniformly heated granular fluids to maximize or minimize the Mpemba effect, showing that the stochastic thermostat…
Time-optimal synchronisation to self-sustained oscillations under bounded control
C. RÃos-Monje, C. A. Plata, D. Guéry-Odelin +1
Incorporating force bounds is crucial for realistic control implementations in physical systems. Here, we investigate the fastest possible synchronisation of a Liénard system to i…
Minimum time connection between non-equilibrium steady states: the Brownian gyrator
A. Patrón, C. A. Plata, A. Prados
We study the problem of minimising the connection time between non-equilibrium steady states of the Brownian Gyrator. This is a paradigmatic model in non-equilibrium statistical me…
Active charge and discharge of a capacitor: scaling solution and energy optimization
S. Faure, C. A. Plata, A. Prados +1
Capacitors are ubiquitous in electronic and electrical devices. In this article, we study -- both theoretically and experimentally -- the charging and discharging of capacitors usi…
Optimal synchronisation to a limit cycle
C. RÃos-Monje, C. A. Plata, D. Guéry-Odelin +1
In the absence of external forcing, all trajectories on the phase plane of the van der Pol oscillator tend to a closed, periodic, trajectory -- the limit cycle -- after infinite ti…