Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each paper is the result of many months of research, so we make a special effort to make them clear, beautiful and inspirational, and publish them in leading journals.

  • Coarsening without interfacial energy

    RFR. Farr Physical Review Letters

    Microstructural coarsening

    Rapid temperature cycling from one extreme to another affects the rate at which the mean particle size in solid or liquid solutions changes.

  • Phase transition creates the geometry of the continuum from discrete space

    RFR. FarrTFT. Fink Physical Review E

    Geometry of discrete space

    A phase transition creates the geometry of the continuum from discrete space, but it needs disorder if it is to have the right metric.

  • Reconstructing grain-shape statistics from electron back-scatter diffraction microscopy

    RFR. FarrZVMHEG Physical Review Materials

    Grain shape inference

    The distributions of size and shape of a material’s grains can be constructed from a 2D slice of the material and electron diffraction data.

  • Serendipity and strategy in rapid innovation

    TFT. FinkMRM. ReevesRPRFR. Farr Nature Communications

    Serendipity and strategy

    In systems of innovation, the relative usefulness of different components changes as the number of components we possess increases.

  • Mineralogical Magazine

    3d grains from 2d slices

    Moment-based methods provide a simple way to describe a population of spherical particles and extract 3d information from 2d measurements.

  • Physical Review E

    Optimal heat exchange networks

    Compact heat exchangers can be designed to run at low power if the exchange is concentrated in a crumpled surface fed by a fractal network.

  • Discrete Mathematics

    Eigenvalues of neutral networks

    The principal eigenvalue of small neutral networks determines their robustness, and is bounded by the logarithm of the number of vertices.

  • Journal of Chemical Physics

    Viscosity of polydisperse spheres

    A quick and simple way to evaluate the packing fraction of polydisperse spheres, which is a measure of how they crowd around each other.

  • Physical Review Letters

    Easily repairable networks

    When networks come under attack, a repairable architecture is superior to, and globally distinct from, an architecture that is robust.

  • Physical Review E

    Structural imperfections

    Fractal structures need very little mass to support a load; but for current designs, this makes them vulnerable to manufacturing errors.

  • Powder Technology

    Random close packing fractions

    Lognormal distributions (and mixtures of same) are a useful model for the size distribution in emulsions and sediments.

  • Physics World

    Towers of strength

    The Eiffel tower is now a longstanding example of hierarchical design due to its non-trivial internal structure spanning many length scales.

  • Physical Review E

    Hierarchical structures

    The most efficient load-bearing fractals are designed as big structures under gentle loads ... a situation common in aerospace applications.

  • Mechanics Research Communications

    Hierarchical space frames

    A systematic way to vary the power-law scaling relations between loading parameters and volume of material aids the hierarchical design process.

  • Physical Review Letters

    Ultralight fractal structures

    The transition from solid to hollow beams changes the scaling of stability versus loading analogously to increasing the hierarchical order by one.

  • Food Biophysics

    Shear elastic deformation in cells

    Analysis of the linear elastic behaviour of plant cell dispersions improves our understanding of how to stabilise and texturise food products.

  • Physical Review E

    Ever-shrinking spheres

    Techniques from random sphere packing predict the dimension of the Apollonian gasket, a fractal made up of non-overlapping hyperspheres.