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AIMS AND SCOPE Proc. R. Soc. A publishes research articles across the mathematical,physical and engineering sciences. The emphasis is on high-quality,original, fundamental articles of interest to a wide range of scientists,in emerging and interdisciplinary areas as well as established disci-plines.

M. V. Berry FRS, Editor, HH Wills PhysicsLaboratory, University of Bristol

C. W. Anderson, Department ofProbability and Statistics, University ofSheffield

S. Bandyopadhyay, Department ofElectrical Engineering, VirginiaCommonwealth University

L. Botten, Department of MathematicalSciences, University of Technology, Sydney

O. Bruno, Applied ComputationalMathematics, California Institute ofTechnology

S. Carlip, Department of Physics,University of California, Davis

C. R. A. Catlow FRS, Department ofChemistry, University College London

M. Chai, Department of Chemistry,Central Michigan University

D. Crowdy, Department of Mathematics,Imperial College London

M. Destrade, School of Mathematics,Statistics and Applied Mathematics,National University of Ireland, Galway

D. Deutsch FRS, Centre for QuantumComputation, University of Oxford

J.-M. Fourneau, PRiSM, Université deVersailles St Quentin

M. S. Freund, Department of Chemistry,University of Manitoba

E. Gelenbe, Electronic and ElectricalEngineering, Imperial College London

M. Green, Department of Physics, King’s College London

A. L. Greer, Department of Materials Scienceand Metallurgy, University of Cambridge

D. J. Higham, Department ofMathematics, University of Strathclyde

A. Hirsa, Department of Mechanical,Aerospace and Nuclear Engineering,Rensselaer Polytechnic Institute

C. J. Howls, School of Mathematics,University of Southampton

J. W. Hutchinson, Division of Engineeringand Applied Sciences, Harvard University

O. E. Jensen, School of MathematicalSciences, University of Nottingham

M. Lakshmanan, Centre for NonlinearDynamics, Bharathidasan University

P. F. Linden FRS, Department ofMechanical and Aerospace Engineering,University of California, San Diego

R. MacKay FRS, Mathematics Institute,University of Warwick

D. McKenzie, School of Physics, Universityof Sydney

K. Nakamura, Department of AppliedPhysics, Osaka City University

D. W. Noid, Chemical and AnalyticalScience Division, Oak Ridge NationalLaboratory

T. Palmer FRS, ECMWF

D. Phillips, Department of Chemistry,Imperial College London

M. Plenio, Department of Physics, Imperial College London

J. J. Rice, Functional Genomics and Systems Biology, IBM TJ Watson Research Center

B. Rustem, Department of Computing,Imperial College London

P. Sammonds, Department of EarthSciences, University College London

P. Sheng, Institute of Nano Science andTechnology, Hong Kong University ofScience and Technology

A. Sousa, Department of MechanicalEngineering, University of New Brunswick

S. Sparks FRS, Department of EarthSciences, University of Bristol

S. Spector, Department of Mathematics,Southern Illinois University

D. M. A. Stuart, Department of AppliedMathematics and Theoretical Physics,University of Cambridge

Z. Suo, School of Engineering and AppliedSciences, Harvard University

A. Tate, Artificial Intelligence ApplicationsInstitute, University of Edinburgh

J. M. Thomas FRS, Department ofMaterials Science and Metallurgy,University of Cambridge

G. Wake FRSNZ, Institute of Informationand Mathematical Sciences, MasseyUniversity

T. Wei, Department of Mechanical,Aerospace and Nuclear Engineering,Rensselaer Polytechnic Institute

R. Wong, Department of Mathematics,City University of Hong Kong

J. Woodhouse FRS, Department of EarthSciences, University of Oxford

N. Yao, Imaging and Analysis Center,Princeton Institute for the Science andTechnology of Materials

Editorial Board

EditorSir Michael Berry FRS

Publishing EditorJoanna Harries

Editorial CoordinatorClaire Birch

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Front cover: A model of the interface between 45S5 Bioglass (R) and liquid water, highlighting the extended network ofwater–water and water–glass hydrogen bonds. Image courtesy of Antonio Tilocca.

GUIDANCE FOR AUTHORS

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