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Spatial scales and locality of magnetic helicity (2020)
Journal Article
Prior, C., Hawkes, G., & Berger, M. (2020). Spatial scales and locality of magnetic helicity. Astronomy & Astrophysics, 635, Article A95. https://doi.org/10.1051/0004-6361/201936675

Context: Magnetic helicity is approximately conserved in resistive magnetohydrodynamic models. It quantifies the entanglement of the magnetic field within the plasma. The transport and removal of helicity is crucial in both dynamo development in the... Read More about Spatial scales and locality of magnetic helicity.

Obtaining Tertiary Protein Structures by the ab Initio Interpretation of Small Angle X-ray Scattering Data (2020)
Journal Article
Prior, C., Davies, O. R., Bruce, D., & Pohl, E. (2020). Obtaining Tertiary Protein Structures by the ab Initio Interpretation of Small Angle X-ray Scattering Data. Journal of Chemical Theory and Computation, 16(3), 1985-2001. https://doi.org/10.1021/acs.jctc.9b01010

Small angle X-ray scattering (SAXS) is an important tool for investigating the structure of proteins in solution. We present a novel ab initio method representing polypeptide chains as discrete curves used to derive a meaningful three-dimensional mod... Read More about Obtaining Tertiary Protein Structures by the ab Initio Interpretation of Small Angle X-ray Scattering Data.

Interpreting magnetic helicity flux in solar flux emergence (2019)
Journal Article
Prior, C., & MacTaggart, D. (2019). Interpreting magnetic helicity flux in solar flux emergence. Journal of Plasma Physics, 85(2), Article 775850201. https://doi.org/10.1017/s0022377819000229

Magnetic helicity flux gives information about the topology of a magnetic field passing through a boundary. In solar physics applications, this boundary is the photosphere and magnetic helicity flux has become an important quantity in analysing magne... Read More about Interpreting magnetic helicity flux in solar flux emergence.

Observational signatures of magnetic field structure in relativistic AGN jets (2019)
Journal Article
Prior, C., & Gourgouliatos, K. (2019). Observational signatures of magnetic field structure in relativistic AGN jets. Astronomy & Astrophysics, 622, Article A122. https://doi.org/10.1051/0004-6361/201834469

Context. Active galactic nuclei (AGN) launch highly energetic jets sometimes outshining their host galaxy. These jets are collimated outflows that have been accelerated near a supermassive black hole located at the centre of the galaxy. Their, virtua... Read More about Observational signatures of magnetic field structure in relativistic AGN jets.

Quantifying reconnective activity in braided vector fields (2018)
Journal Article
Prior, C., & Yeates, A. (2018). Quantifying reconnective activity in braided vector fields. Physical Review E, 98(1), Article 013204. https://doi.org/10.1103/physreve.98.013204

We introduce a technique for evaluating the changing connectivity of a vector field whose integral curves (field lines) form tangled tubular bundles. Applications of such fields include magnetic flux ropes, relativistic plasma jets, stirred two-dimen... Read More about Quantifying reconnective activity in braided vector fields.

The emergence of braided magnetic fields (2016)
Journal Article
Prior, C., & MacTaggart, D. (2016). The emergence of braided magnetic fields. Geophysical and Astrophysical Fluid Dynamics, 110(5), 432-457. https://doi.org/10.1080/03091929.2016.1216552

We study the emergence of braided magnetic fields from the top of the solar interior through to the corona. It is widely believed that emerging regions smaller than active regions are formed in the upper convection zone near the photosphere. Here, bu... Read More about The emergence of braided magnetic fields.

Twisted versus braided magnetic flux ropes in coronal geometry. II. Comparative behaviour (2016)
Journal Article
Prior, C., & Yeates, A. (2016). Twisted versus braided magnetic flux ropes in coronal geometry. II. Comparative behaviour. Astronomy & Astrophysics, 591, Article A16. https://doi.org/10.1051/0004-6361/201528053

Aims. Sigmoidal structures in the solar corona are commonly associated with magnetic flux ropes whose magnetic field lines are twisted about a mutual axis. Their dynamical evolution is well studied, with sufficient twisting leading to large-scale rot... Read More about Twisted versus braided magnetic flux ropes in coronal geometry. II. Comparative behaviour.

The extended polar writhe: a tool for open curves mechanics (2016)
Journal Article
Prior, C., & Neukirch, S. (2016). The extended polar writhe: a tool for open curves mechanics. Journal of Physics A: Mathematical and Theoretical, 49(21), Article 215201. https://doi.org/10.1088/1751-8113/49/21/215201

A measure of the writhing of a curve is introduced and is used to extend the C?lug?reanu? decomposition for closed curves, as well as the polar decomposition for curves bound between planes. The new writhe measure is also shown to be able to assess c... Read More about The extended polar writhe: a tool for open curves mechanics.

Twisted versus braided magnetic flux ropes in coronal geometry. I. Construction and relaxation (2016)
Journal Article
Prior, C., & Yeates, A. (2016). Twisted versus braided magnetic flux ropes in coronal geometry. I. Construction and relaxation. Astronomy & Astrophysics, 587, Article A125. https://doi.org/10.1051/0004-6361/201527231

We introduce a technique for generating tubular magnetic fields with arbitrary axial geometry and internal topology. As an initial application, this technique is used to construct two magnetic flux ropes that have the same sigmoidal tubular shape, bu... Read More about Twisted versus braided magnetic flux ropes in coronal geometry. I. Construction and relaxation.

Ribbon curling via stress relaxation in thin polymer films (2016)
Journal Article
Prior, C., Moussou, J., Chakrabarti, B., Jensen, O., & Juel, A. (2016). Ribbon curling via stress relaxation in thin polymer films. Proceedings of the National Academy of Sciences, 113(7), 1719-1724. https://doi.org/10.1073/pnas.1514626113

The procedure of curling a ribbon by running it over a sharp blade is commonly used when wrapping presents. Despite its ubiquity, a quantitative explanation of this everyday phenomenon is still lacking. We address this using experiment and theory, ex... Read More about Ribbon curling via stress relaxation in thin polymer films.

On the helicity of open magnetic fields (2014)
Journal Article
Prior, C., & Yeates, A. (2014). On the helicity of open magnetic fields. Astrophysical Journal, 787(2), Article 100. https://doi.org/10.1088/0004-637x/787/2/100

We reconsider the topological interpretation of magnetic helicity for magnetic fields in open domains, and relate this to the relative helicity. Specifically, our domains stretch between two parallel planes, and each of these ends may be magnetically... Read More about On the helicity of open magnetic fields.

Helical Birods: An Elastic Model of Helically Wound Double-Stranded Rods (2014)
Journal Article
Prior, C. (2014). Helical Birods: An Elastic Model of Helically Wound Double-Stranded Rods. Journal of Elasticity, 117(2), 231-277. https://doi.org/10.1007/s10659-014-9472-7

We consider a geometrically accurate model for a helically wound rope constructed from two intertwined elastic rods. The line of contact has an arbitrary smooth shape which is obtained under the action of an arbitrary set of applied forces and moment... Read More about Helical Birods: An Elastic Model of Helically Wound Double-Stranded Rods.