Deputy Director of the Applied Mathematics
Research Centre, Coventry University,
Applied Mathematics Research Centre,
Coventry University, Priory Street,
Coventry, CV1 5FB, England
tel.: +44 2476 888594
e-mail: r.kennacoventry.ac.uk

Scientific area of interest:
My background is in statistical physics, especially in phase transitions and critical phenomena. My particular expertises include renormalization group, perturbation theory, partition function zeros, finite-size effects, Fisher renormalization and extended scaling techniques applied to spin models (Ising, Potts, XY, Heisenberg, O(N), etc) and quantum field theory models (such as the Schwinger and Gross-Neveu models). I am interested in variants of these, such as site/bond diluted models and random field models. I have worked on aspects of universality such as critical exponents, amplitude ratios, scaling relations, corrections to scaling and logarithmic corrections. I am interested in critical dimensions, dimensional reduction and hyperscaling. Recently I have also started working in sociophysics and complex networks.

Representative recent publications:

• Kenna R., Berche B., Critical mass and the dependency of research quality on group size, Scientometrics, 2011, 86, 527-540.
• Palchykov V., von Ferber C., Folk R., Holovatch Yu., Kenna R., Critical phenomena on scale-free networks: logarithmic corrections and scaling functions, Phys. Rev. E, 2010, 82, 011145.
• Gordillo-Guerrero A., Kenna R., Ruiz-Lorenzo J.J., The Site-Diluted Ising Model in Four Dimensions, Phys. Rev. E, 2009, 80, 031135.
• Kenna R., Johnston D.A., Janke W., Scaling Relations for Logarithmic Corrections, Phys. Rev. Lett., 2006, 96, 115701.
• Janke W., Johnston D.A., Kenna R., Phase Transition Strength through Densities of General Distributions of Zeroes, Nucl. Phys. B, 2004, 682, 618.