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Experimental realization of a thermal squeezed state of levitated optomechanics (2016)
Journal Article
Rashid, M., Tufarelli, T., Bateman, J., Vovrosh, J., Hempston, D., Kim, M. S., & Ulbricht, H. (in press). Experimental realization of a thermal squeezed state of levitated optomechanics. Physical Review Letters, 117(27), Article 273601. https://doi.org/10.1103/PhysRevLett.117.273601

We experimentally squeeze the thermal motional state of an optically levitated nanosphere by fast switching between two trapping frequencies. The measured phase-space distribution of the center of mass of our particle shows the typical shape of a squ... Read More about Experimental realization of a thermal squeezed state of levitated optomechanics.

Detecting rotational superradiance in fluid laboratories (2016)
Journal Article
Cardoso, V., Coutant, A., Richartz, M., & Weinfurtner, S. (2016). Detecting rotational superradiance in fluid laboratories. Physical Review Letters, 117(27), Article 271101. https://doi.org/10.1103/PhysRevLett.117.271101

Rotational superradiance was predicted theoretically decades ago, and is chiefly responsible for a number of important effects and phenomenology in black-hole physics. However, rotational superradiance has never been observed experimentally. Here, wi... Read More about Detecting rotational superradiance in fluid laboratories.

Dynamical scalar hair formation around a Schwarzschild black hole (2016)
Journal Article
Benkel, R., Sotiriou, T. P., & Witek, H. (2016). Dynamical scalar hair formation around a Schwarzschild black hole. Physical Review D, 94(12), https://doi.org/10.1103/PhysRevD.94.121503

Scalar fields coupled to the Gauss-Bonnet invariant evade the known no-hair theorems and have nontrivial configurations around black holes. We focus on a scalar field that couples linearly to the Gauss-Bonnet invariant and hence exhibits shift symmet... Read More about Dynamical scalar hair formation around a Schwarzschild black hole.

An energy-stable time-integrator for phase-field models (2016)
Journal Article
Vignal, P., Collier, N., Dalcin, L., Brown, D., & Calo, V. (2017). An energy-stable time-integrator for phase-field models. Computer Methods in Applied Mechanics and Engineering, 316, https://doi.org/10.1016/j.cma.2016.12.017

We introduce a provably energy-stable time-integration method for general classes of phase-field models with polynomial potentials. We demonstrate how Taylor series expansions of the nonlinear terms present in the partial differential equations of th... Read More about An energy-stable time-integrator for phase-field models.

Analysis of a hysteresis-controlled self-oscillating class-D amplifier (2016)
Journal Article
Cox, S. M., Yu, J., Goh, W. L., & Tan, M. T. (in press). Analysis of a hysteresis-controlled self-oscillating class-D amplifier. IMA Journal of Applied Mathematics, 82(2), https://doi.org/10.1093/imamat/hxw053

This paper gives the first systematic perturbation analysis of the audio distortion and mean switching period for a self-oscillating class-D amplifier. Explicit expressions are given for all the principal components of audio distortion, for a general... Read More about Analysis of a hysteresis-controlled self-oscillating class-D amplifier.

The impact of electrode resistance on the biogalvanic characterisation technique (2016)
Journal Article
Chandler, J., Head, D., Hubbard, M. E., Neville, A., Jayne, D., & Culmer, P. (2016). The impact of electrode resistance on the biogalvanic characterisation technique. Physiological Measurement, 38(2), https://doi.org/10.1088/1361-6579/38/2/101

Measurement of a tissue-specific electrical resistance may offer a discriminatory metric for evaluation of tissue health during cancer surgery. With a move toward minimally-invasive procedures, applicable contact sensing modalities must be scalable,... Read More about The impact of electrode resistance on the biogalvanic characterisation technique.

Propagating wave correlations in complex systems (2016)
Journal Article
Creagh, S. C., Gradoni, G., Hartmann, T., & Tanner, G. (2016). Propagating wave correlations in complex systems. Journal of Physics A: Mathematical and Theoretical, 50(4), Article 45101. https://doi.org/10.1088/1751-8121/50/4/045101

We describe a novel approach for computing wave correlation functions inside finite spatial domains driven by complex and statistical sources. By exploiting semiclassical approximations, we provide explicit algorithms to calculate the local mean of t... Read More about Propagating wave correlations in complex systems.

The emergence of waves in random discrete systems (2016)
Journal Article
Pickton, J., Hopcraft, K. I., & Jakeman, E. (in press). The emergence of waves in random discrete systems. Scientific Reports, 6(21), https://doi.org/10.1038/s41598-016-0022-3

Essential criteria for the emergence of wave-like manifestations occurring in an entirely discrete system are identified using a simple model for the movement of particles through a network. The dynamics are entirely stochastic and memoryless involvi... Read More about The emergence of waves in random discrete systems.

Effect of possible rotor deformation on the probability of face contact for a liquid film bearing (2016)
Journal Article
Hibberd, S., Bailey, N., Hibberd, S., & Power, H. (2017). Effect of possible rotor deformation on the probability of face contact for a liquid film bearing. Tribology International, 109, 297-310. https://doi.org/10.1016/j.triboint.2016.12.032

The possibility of face contact is examined for a coaxial rotor-stator bearing in dynamic motion constrained by a highly rotating very thin liquid film. A modified Reynolds equation for pressurised flow is coupled to the bearing structure leading to... Read More about Effect of possible rotor deformation on the probability of face contact for a liquid film bearing.

Regularized inner products and errors of modularity (2016)
Journal Article
Bringmann, K., Diamantis, N., & Ehlen, S. (2017). Regularized inner products and errors of modularity. International Mathematics Research Notices, 2017(24), 7420-7458. https://doi.org/10.1093/imrn/rnw225

© The Author(s) 2016. We develop a regularization for Petersson inner products of arbitrary weakly holomorphic modular forms, generalizing several known regularizations. As one application, we extend work of Duke, Imamoglu, and Toth on regularized in... Read More about Regularized inner products and errors of modularity.