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UID:DSC-22444
DTSTART;TZID=Europe/Berlin:20251111T100000
SEQUENCE:1762843172
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20251111T110000
URL:https://www.dresden-science-calendar.de/calendar/en/detail/22444
LOCATION:IFW\, Helmholtzstraße 2001069 Dresden
SUMMARY:Shi: General Hamiltonian description of nonreciprocal interactions
CLASS:PUBLIC
DESCRIPTION:Speaker: Dr. Yubo Shi\nInstitute of Speaker: Max Planck Institu
 te for the Physics of Complex Systems      (MPI PKS) Dresden\nTopics:\n\n 
 Location:\n  Name: IFW (D2E.27\, IFW Dresden)\n  Street: Helmholtzstraße 
 20\n  City: 01069 Dresden\n  Phone: \n  Fax: \nDescription: In a vast clas
 s of systems\, which includes members as diverse as active colloids and bi
 rd flocks\, interactions do not stem from a potential\, and are in general
  nonreciprocal. Thus\, it is not possible to define a conventional energy 
 function\, nor to use analytical or numerical tools that rely on it. Here\
 , we overcome these limitations by constructing a Hamiltonian that include
 s auxiliary degrees of freedom\; when subject to a constraint\, this Hamil
 tonian yields the original non-reciprocal dynamics. We show that Glauber d
 ynamics based on the constrained Hamiltonian reproduces the steady states 
 of the original Langevin dynamics\, as we explicitly illustrate for dissip
 ative XY spins with vision-cone interactions. Further\, the symplectic str
 ucture inherent to our construction allows us to apply the well-developed 
 notions of Hamiltonian engineering\, which we demonstrate by varying the a
 mplitude of a periodic drive to tune the spin interactions between those o
 f a square and a chain lattice geometry. Overall\, our framework for gener
 ic nonreciprocal pairwise interactions paves the way for bringing to bear 
 the full conceptual and methodological power of conventional statistical m
 echanics and Hamiltonian dynamics to nonreciprocal systems. .
DTSTAMP:20260818T111234Z
CREATED:20251107T064001Z
LAST-MODIFIED:20251111T063932Z
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