6,684 research outputs found
Effective one body Hamiltonian of two spinning black-holes with next-to-next-to-leading order spin-orbit coupling
Building on the recently computed next-to-next-to-leading order (NNLO)
post-Newtonian (PN) spin-orbit Hamiltonian for spinning binaries
\cite{Hartung:2011te} we extend the effective-one-body (EOB) description of the
dynamics of two spinning black-holes to NNLO in the spin-orbit interaction. The
calculation that is presented extends to NNLO the next-to-leading order (NLO)
spin-orbit Hamiltonian computed in Ref. \cite{Damour:2008qf}. The present EOB
Hamiltonian reproduces the spin-orbit coupling through NNLO in the
test-particle limit case. In addition, in the case of spins parallel or
antiparallel to the orbital angular momentum, when circular orbits exist, we
find that the inclusion of NNLO spin-orbit terms moderates the effect of the
NLO spin-orbit coupling.Comment: 11 pages, no figures. Corrected typographical errors in Eqs.(43) and
(55). Erratum submitted to PR
Diffusion with stochastic resetting at power-law times
What happens when a continuously evolving stochastic process is interrupted
with large changes at random intervals distributed as a power-law ? Modeling the stochastic process by diffusion and
the large changes as abrupt resets to the initial condition, we obtain {\em
exact} closed-form expressions for both static and dynamic quantities, while
accounting for strong correlations implied by a power-law. Our results show
that the resulting dynamics exhibits a spectrum of rich long-time behavior,
from an ever-spreading spatial distribution for , to one that is
time independent for . The dynamics has strong consequences on the
time to reach a distant target for the first time; we specifically show that
there exists an optimal that minimizes the mean time to reach the
target, thereby offering a step towards a viable strategy to locate targets in
a crowded environment.Comment: 8 pages, 3 figures. v2: Version published in Phys. Rev. E as a rapid
comm., includes Suppl. Ma
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