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On oscillatory convection with the Cattaneo-Christov hyperbolic heat-flow model (2015)
Journal Article
Bissell, J. (2015). On oscillatory convection with the Cattaneo-Christov hyperbolic heat-flow model. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2175), https://doi.org/10.1098/rspa.2014.0845

Adoption of the hyperbolic Cattaneo–Christov heat-flow model in place of the more usual parabolic Fourier law is shown to raise the possibility of oscillatory convection in the classic Bénard problem of a Boussinesq fluid heated from below. By compar... Read More about On oscillatory convection with the Cattaneo-Christov hyperbolic heat-flow model.

Discontinuity waves as tipping points: Applications to biological & sociological systems (2014)
Journal Article
Bissell, J., & Straughan, S. (2014). Discontinuity waves as tipping points: Applications to biological & sociological systems. Discrete and Continuous Dynamical Systems - Series B, 19(7), 1911-1934. https://doi.org/10.3934/dcdsb.2014.19.1911

The `tipping point' phenomenon is discussed as a mathematical object, and related to the behaviour of non-linear discontinuity waves in the dynamics of topical sociological and biological problems. The theory of such waves is applied to two illustrat... Read More about Discontinuity waves as tipping points: Applications to biological & sociological systems.

Social tipping points and Earth systems dynamics (2014)
Journal Article
Bentley, R., Maddison, E., Ranner, P., Bissell, J., Caiado, C., Bhatanacharoen, P., …Garnett, P. (2014). Social tipping points and Earth systems dynamics. Frontiers in Environmental Science, 2, Article 35. https://doi.org/10.3389/fenvs.2014.00035

Recently, Early Warning Signals (EWS) have been developed to predict tipping points in Earth Systems. This discussion highlights the potential to apply EWS to human social and economic systems, which may also undergo similar critical transitions. Soc... Read More about Social tipping points and Earth systems dynamics.

Compartmental modelling of social dynamics with generalised peer incidence (2014)
Journal Article
Bissell, J., Caiado, C., Goldstein, M., & Straughan, B. (2014). Compartmental modelling of social dynamics with generalised peer incidence. Mathematical Models and Methods in Applied Sciences, 24(4), 719-750. https://doi.org/10.1142/s0218202513500656

A generalised compartmental method for investigating the spread of socially determined behaviour is introduced, and cast in the specific context of societal smoking dynamics with multiple peer influence. We consider how new peer influence terms, acti... Read More about Compartmental modelling of social dynamics with generalised peer incidence.

Heat flux effects on magnetic field dynamics in solid density plasmas traversed by relativistic electron beams (2013)
Journal Article
Williams, B., Kingham, R., & Bissell, J. (2013). Heat flux effects on magnetic field dynamics in solid density plasmas traversed by relativistic electron beams. Plasma Physics and Controlled Fusion, 55(9), https://doi.org/10.1088/0741-3335/55/9/095005

Relativistic electron beam propagation through solid density plasma is a rich area for magnetic field dynamics. It is well known that Ohmic heating of the background plasma caused by the beam significantly affects magnetic field generation, primarily... Read More about Heat flux effects on magnetic field dynamics in solid density plasmas traversed by relativistic electron beams.

Super-Gaussian transport theory and the field-generating thermal instability in laser-plasmas (2013)
Journal Article
Bissell, J., Ridgers, C., & Kingham, R. (2013). Super-Gaussian transport theory and the field-generating thermal instability in laser-plasmas. New Journal of Physics, 15(2), Article 025017. https://doi.org/10.1088/1367-2630/15/2/025017

Inverse bremsstrahlung (IB) heating is known to distort the electron distribution function in laser–plasmas from a Gaussian towards a super-Gaussian, thereby modifying the equations of classical transport theory (Ridgers et al 2008 Phys. Plasmas 15 0... Read More about Super-Gaussian transport theory and the field-generating thermal instability in laser-plasmas.

Dimensional analysis and dimensional reasoning (2012)
Book Chapter
Bissell, J. (2012). Dimensional analysis and dimensional reasoning. In C. Bissell, & C. Dillon (Eds.), Ways of thinking, ways of seeing : mathematical and other modelling in engineering and technology (29-47). Springer Verlag. https://doi.org/10.1007/978-3-642-25209-9_2

This chapter explores some of the ways physical dimensions, such as length, mass and time, impact on the work of scientists and engineers. Two main themes are considered: dimensional analysis, which involves deriving algebraic expressions to relate q... Read More about Dimensional analysis and dimensional reasoning.

Magnetothermal instability in laser plasmas including hydrodynamic effects (2012)
Journal Article
Bissell, J., Kingham, R., & Ridgers, C. (2012). Magnetothermal instability in laser plasmas including hydrodynamic effects. Physics of Plasmas, 19(5), Article 052107. https://doi.org/10.1063/1.4718639

The impact of both density gradients and hydrodynamics on the evolution of the field compressing magnetothermal instability is considered [J. J. Bissell et al., Phys. Rev. Lett. 105, 175001 (2010)]. Hydrodynamic motion is found to have a limited effe... Read More about Magnetothermal instability in laser plasmas including hydrodynamic effects.

Field Compressing Magnetothermal Instability in Laser Plasmas (2010)
Journal Article
Bissell, J., Ridgers, C., & Kingham, R. (2010). Field Compressing Magnetothermal Instability in Laser Plasmas. Physical Review Letters, 105(17), Article 175001. https://doi.org/10.1103/physrevlett.105.175001

The mechanism for a new instability in magnetized plasmas is presented and a dispersion relation derived. Unstable behavior is shown to result purely from transport processes—feedback between the Nernst effect and the Righi-Leduc heat-flow phenomena... Read More about Field Compressing Magnetothermal Instability in Laser Plasmas.