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SUMMARY:Seminar of Dr Jonas Berx
DTSTART;VALUE=DATE-TIME:20260409T060000Z
DTEND;VALUE=DATE-TIME:20260409T070000Z
UID:105965690051
DESCRIPTION:Jonas BerxPareto-optimal protocols for active particles in mov
 ing traps"Optimal control theory is often framed around a single goal\, e.
 g\, minimizing the average work or entropy production required to drive a 
 system between steady states. In realistic physical and biological systems
 \, however\, improving one performance measure typically comes at a cost: 
 protocols that minimize average work\, for instance\, often lead to large 
 fluctuations. In this talk\, I introduce a framework for Pareto-optimal co
 ntrol that makes these trade-offs explicit. As a concrete example\, I stud
 y an active particle dragged through a fluid by a time-dependent harmonic 
 trap\, where the two competing objectives are the mean work and its fluctu
 ations. I show that this problem can be solved analytically\, yielding a f
 amily of exact protocols that smoothly interpolate between the two extreme
 s of minimizing average work or fluctuations. Interestingly\, these optima
 l protocols are invariant under time reversal and can be understood in ter
 ms of a modified effective Péclet number\, which captures the relative im
 portance of the competing objectives. Overall\, this framework places well
 -known optimal control results in a broader context: familiar single-objec
 tive solutions appear as limiting cases of a richer landscape of optimal t
 rade-offs\, providing a more comprehensive understanding of the limits of 
 control in driven nonequilibrium systems."
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