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A boundary integral formalism for stochastic ray tracing in billiards (2014)
Journal Article
Chappell, D., & Tanner, G. (in press). A boundary integral formalism for stochastic ray tracing in billiards. Chaos, 24, Article 043137. https://doi.org/10.1063/1.4903064

Determining the flow of rays or non-interacting particles driven by a force or velocity field is fundamental to modelling many physical processes. These include particle flows arising in fluid mechanics and ray flows arising in the geometrical optics... Read More about A boundary integral formalism for stochastic ray tracing in billiards.

Quantum search on graphene lattices (2014)
Journal Article
Foulger, I., Gnutzmann, S., & Tanner, G. (2014). Quantum search on graphene lattices. Physical Review Letters, 112, Article 070504. https://doi.org/10.1103/PhysRevLett.112.070504

We present a continuous-time quantum search algorithm on a graphene lattice. This provides the sought- after implementation of an efficient continuous-time quantum search on a two-dimensional lattice. The search uses the linearity of the dispersion r... Read More about Quantum search on graphene lattices.

Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures (2014)
Journal Article
Chappell, D. J., Loechel, D., Sondergaard, N., & Tanner, G. (2014). Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures. Wave Motion, 51(4), https://doi.org/10.1016/j.wavemoti.2014.01.004

We present a new approach for modelling noise and vibration in complex mechanical structures in the mid-to-high frequency regime. It is based on a dynamical energy analysis (DEA) formulation which extends standard techniques such as statistical energ... Read More about Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures.