A frustrated non-contact rack-pinion-rack device
Journal of Physics: Conference Series 161 (2009)
Abstract:
A design is proposed for a mechanical device made of a nanoscale pinion sandwiched without contact between two racks that exert opposing forces rooted in the quantum fluctuations of the electromagnetic field via the lateral Casimir force. The built-in frustration in the design of the system helps it to react dramatically to minute changes in the geometrical features, which suggests that it could act as a good sensor. The noncontact nature of this device could help solve the infamous wear problem in nanoscale mechanical devices. © 2009 IOP Publishing Ltd.Hydrodynamic synchronisation of model Microswimmers
Journal of Statistical Physics 137:5 (2009) 1001-1013
Abstract:
We define a model microswimmer with a variable cycle time, thus allowing the possibility of phase locking driven by hydrodynamic interactions between swimmers. We find that, for extensile or contractile swimmers, phase locking does occur, with the relative phase of the two swimmers being, in general, close to 0 or π, depending on their relative position and orientation. We show that, as expected on grounds of symmetry, self T-dual swimmers, which are time-reversal covariant, do not phase-lock. We also discuss the phase behaviour of a line of tethered swimmers, or pumps. These show oscillations in their relative phases reminiscent of the metachronal waves of cilia. © Springer Science+Business Media, LLC 2009.Order and disorder in AKLT antiferromagnets in three dimensions
Physical Review B American Physical Society (APS) 79:2 (2009) 024408
Tutte chromatic identities from the Temperley–Lieb algebra
Geometry & Topology Mathematical Sciences Publishers 13:2 (2009) 709-741
A frustrated non-contact rack-pinion-rack device
60 YEARS OF THE CASIMIR EFFECT 161 (2009) ARTN 012038