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Detecting Scalar Fields with Extreme Mass Ratio Inspirals

: We study extreme mass ratio inspirals (EMRIs), during which a small body spirals into a supermassive black hole, in gravity theories with additional scalar fields. We first argue that no-hair theorems and the properties of known theories that manage to circumvent them introduce a drastic simplification to the problem: the effects of the scalar on supermassive black holes, if any, are mostly negligible for EMRIs in vast classes of theories. We then exploit this simplification to model the in...

Existence and large time behavior for a dissipative variant of the rotational NLS equation

Existence and asymptotic behavior for $$L^2$$-norm preserving nonlinear heat equations

Existence and stability of almost finite energy weak solutions to the quantum Euler-Maxwell system

Controlling Electroosmosis in Nanopores Without Altering the Nanopore Sensing Region

: Nanopores are powerful tools for single-molecule sensing of biomolecules and nanoparticles. The signal coming from the molecule to be analyzed strongly depends on its interaction with the narrower section of the nanopore (constriction) that may be tailored to increase sensing accuracy. Modifications of nanopore constriction have also been commonly used to induce electroosmosis, that favors the capture of molecules in the nanopore under a voltage bias and independently of their charge. ...

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