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2024

Cousins, Joseph R. L. and Bhadwal, Akhshay S. and Mottram, Nigel J. and Brown, Carl V. and Wilson, Stephen K. (2024) Flow manipulation of a nematic liquid crystal in a Hele-Shaw cell with an electrically-controlled viscous obstruction. Journal of Fluid Mechanics, 996. R1. ISSN 0022-1120

Cousins, Joseph R. L. and Mottram, Nigel J. and Wilson, Stephen K. (2024) Hele-Shaw flow of a nematic liquid crystal. Physical Review E, 110 (3). 034702. ISSN 2470-0053

Bhadwal, Akhshay S. and Cousins, Joseph R. L. and Mottram, Nigel J. and Wilson, Stephen K. and Duffy, Brian R. and Sage, Ian C. and Brown, Carl V. (2024) Active control of the free surface of a rivulet of a nematic liquid crystal with an electric field. Physical Review Fluids, 9 (6). 064002. ISSN 2469-990X

Lesniewska, Magdalena and Mottram, Nigel and Henrich, Oliver (2024) Defect-influenced particle advection in highly confined liquid crystal flows. Soft Matter, 20 (10). pp. 2218-2231. ISSN 1744-6848

2022

Cousins, Joseph R. L. and Duffy, Brian R. and Wilson, Stephen K. and Mottram, Nigel J. (2022) Young and Young-Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states. Proceedings A: Mathematical, Physical and Engineering Sciences, 478 (2259). 20210849. ISSN 1471-2962

2021

da Costa, Fernando P. and Grinfeld, Michael and Mottram, Nigel J. and Pinto, João T. and Xyxanadasy, Kedtysack (2021) Steady state solutions in a model of a cholesteric liquid crystal sample. Afrika Matematika, 32. pp. 645-672.

2020

Cousins, J. R. L. and Wilson, S. K. and Mottram, N. J. and Wilkes, D. and Weegels, L. (2020) Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring. Physical Review E, 102 (6). 062703. ISSN 2470-0053

Bhadwal, A. S. and Mottram, N. J. and Saxena, A. and Sage, I. C. and Brown, C. V. (2020) Electrically controlled topological micro cargo transportation. Soft Matter, 16 (12). pp. 2961-2970. ISSN 1744-6848

2019

Alqahtani, Z. M. and El-Shahed, M. and Mottram, N. J. (2019) Derivative-order-dependent stability and transient behaviour in a predator-prey system of fractional differential equations. Letters in Biomathematics, 6 (1). pp. 32-49. ISSN 2373-7867

Cousins, J. R. L. and Wilson, S. K. and Mottram, N. J. and Wilkes, D. and Weegels, L. (2019) Squeezing a drop of nematic liquid crystal with strong elasticity effects. Physics of Fluids, 31 (8). 083107. ISSN 1070-6631

2018

Cousins, Joseph R. L. and Wilson, Stephen K. and Mottram, Nigel J. and Wilkes, David and Weegels, Leo and Lin, KY (2018) A model for the formation of mura during the One-Drop-Filling process. In: 25th International Display Workshop 2018, 2018-12-12 - 2018-12-14, Nagoya Congress Center.

Walton, J. and Mottram, N. J. and McKay, G. (2018) Nematic liquid crystal director structures in rectangular regions. Physical Review E, 97 (2). 022702. ISSN 2470-0053

2017

Corson, L. T. and Tsakonas, C. and Duffy, B. R. and Mottram, N. J. and Brown, C. V. and Wilson, S. K.; Russo, Giovanni and Capasso, Vincenzo and Nicosia, Giuseppe and Romano, Vittorio, eds. (2017) Electro-manipulation of droplets for microfluidic applications. In: Progress in Industrial Mathematics at ECMI 2014. Mathematics in Industry, 22 . Springer, ITA, pp. 1073-1080. ISBN 9783319234120

McGinty, Sean and Hyndman, Lauren and Mottram, Nigel and McKee, Sean and Webb, Steven; Nithiarasu, Perumal and Robertson, Anne M., eds. (2017) In-silico characterisation of the Kirkstall QV900 in-vitro system for advanced cell culture. In: CMBE17. Zeta Computational Resources Ltd., USA, pp. 1174-1177. ISBN 9780956291448

2016

Corson, L. T. and Mottram, N. J. and Duffy, B. R. and Wilson, S. K. and Tsakonas, C. and Brown, C. V. (2016) Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field. Physical Review E, 94. 043112. ISSN 2470-0053

McKee, Sean and Dougall, Ewan A and Mottram, Nigel J (2016) Analytic solutions of a simple advection-diffusion model of an oxygen transfer device. Journal of Mathematics in Industry, 6. 3. ISSN 2190-5983

Mottram, Nigel and McKay, Geoffrey and Brown, Carl and Russell, Craig and Sage, Ian (2016) Flow-induced delayed Freedericksz transition. Physical Review E, 93 (3). 030701(R). ISSN 2470-0053

Ritos, Konstantinos and Borg, Matthew K. and Mottram, Nigel J. and Reese, Jason M. (2016) Electric fields can control the transport of water in carbon nanotubes. Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences, 374 (2060). 20150025. ISSN 1471-2962

2014

Corson, Lindsey T. and Tsakonas, Costas and Duffy, Brian R. and Mottram, Nigel J. and Sage, Ian C. and Brown, Carl V. and Wilson, Stephen K. (2014) Deformation of a nearly-hemispherical conducting drop due to an electric field : theory and experiment. Physics of Fluids, 26 (12). 122106. ISSN 1070-6631

Mottram, Nigel and Newton, C.J.P. (2014) Introduction to Q-tensor theory. Preprint / Working Paper. arXiv.org.

2013

Mottram, Nigel and Pinto, J.T. and McKay, Geoffrey (2013) Decoupling of the Ericksen-Leslie equations. Liquid Crystals, 40 (6). pp. 787-798. ISSN 0267-8292

2012

Da Costa, F.P. and Grinfeld, Michael and Langer, Matthias and Mottram, Nigel J. and Pinto, J.T. (2012) Kickback in nematic liquid crystals. Quarterly of Applied Mathematics, 70 (1). pp. 99-110. ISSN 0033-569X

2011

Mottram, Nigel and Brown, Carl and McHale, Glen (2011) Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces. Journal of Applied Physics, 110 (2). pp. 1-5. 024107. ISSN 0021-8979

Mottram, Nigel and Davidson, Andrew (2011) Conformal mapping techniques for the modelling of liquid crystal devices. European Journal of Applied Mathematics, 23. pp. 99-119. ISSN 0956-7925

Grinfeld, Michael and Langer, Matthias and Mottram, Nigel (2011) Nematic viscosity estimation using director kickback dynamics. Liquid Crystals, 38. pp. 981-987. ISSN 0267-8292

2010

Mottram, Nigel and Evans, Carl and Brown, Carl and Davidson, Andrew (2010) Static alignment states in a bistable azimuthal nematic device with blazed grating sidewalls. Journal of Physics D: Applied Physics, 43 (49). pp. 1-8. 495105. ISSN 1361-6463

Davidson, A.J. and Brown, C.V. and Mottram, N.J. and Ladak, S. and Evans, C.R. (2010) Defect trajectories and domain-wall loop dynamics during two-frequency switching in a bistable azimuthal nematic device. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 81 (5). 051712. ISSN 2470-0053

2009

Da Costa, F.P. and Grinfeld, M. and Mottram, N.J. and Pinto, J.T., FCT Portugal (partly supported) (Funder) (2009) Uniqueness in the Freedericksz transition with weak anchoring. Journal of Differential Equations, 246 (7). pp. 2590-2600. ISSN 0022-0396

Ladak, S. and Davidson, A.J. and Brown, C.V. and Mottram, N.J. (2009) Sidewall control of static azimuthal bistable nematic alignment states. Journal of Physics D: Applied Physics, 42 (8). 085114. ISSN 1361-6463

Quintans Carou, J. and Wilson, S.K. and Mottram, N.J. and Duffy, B.R. (2009) Asymptotic and numerical analysis of a simple model for blade coating. Journal of Engineering Mathematics, 63 (2-4). pp. 155-176. ISSN 0022-0833

2008

Trabi, C.L. and Brown, C.V. and Smith, A.A.T. and Mottram, N.J. (2008) Interferometric method for determining the sum of the flexoelectric coefficients (e1+e3) in an ionic nematic material. Applied Physics Letters, 92 (22). 223509. ISSN 0003-6951

Trabi, C.L. and Smith, A.A.T. and Mottram, N.J. and Brown, C.V. (2008) Flexoelectric polarisation effects in nematic liquid crystal phase gratings. In: Conference on Liquid Crystals XII, 2008-08-11 - 2008-08-12.

2007

Smith, A.A.T. and Brown, C.V. and Mottram, N.J. (2007) Theoretical analysis of the magnetic Freedericksz transition in the presence of flexoelectricity and ionic contamination. Physical Review E, 75 (4). 041704-041712. ISSN 2470-0053

Palto, S.P. and Mottram, Nigel J. and Osipov, Mikhail (2007) Flexoelectric instability and a spontaneous chiral-symmetry breaking in a nematic liquid crystal cell with asymmetric boundary conditions. Physical Review E, 75 (6). 061707. ISSN 2470-0053

Tsakonas, C. and Davidson, A.J. and Brown, C.V. and Mottram, N.J. (2007) Multistable alignment states in nematic liquid crystal filled wells. Applied Physics Letters, 90. p. 111913. ISSN 0003-6951

2006

Mottram, N.J. and Care, C.M. and Cleaver, D.J. (2006) Control of the nematic-isotropic phase transition by an electric field. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 74 (041703). ISSN 2470-0053

Quintans Carou, Judit and Duffy, Brian and Mottram, Nigel and Wilson, Stephen (2006) Shear-driven and pressure-driven flow of a nematic liquid crystal in a slowly varying channel. Physics of Fluids, 18 (2). 027105. ISSN 1070-6631

2005

Diaz, A. and Mottram, N.J. and McKay, G. (2005) Theoretical model of the transition between C1 and C2 chevron structures in smectic liquid crystals. European Physical Journal E - Soft Matter, 18 (2). pp. 231-237. ISSN 1292-8941

Diaz, A. and McKay, Geoffrey and Mottram, Nigel (2005) Effects of weak anchoring on C1 and C2 chevron structures. Molecular Crystals and Liquid Crystals, 438. pp. 1581-1589. ISSN 1542-1406

Kelly, G. and Mottram, N.J. and Ramage, A. (2005) Electric field effects on nematic wetting layers. Molecular Crystals and Liquid Crystals, 438 (1). pp. 1835-1846. ISSN 1542-1406

Miroshnychenko, Dmitri and Hill, N.A. and Mottram, N.J. and Lydon, J.E. (2005) Evolution from A +2 Defect to +1/2 Defects in a Cylindrical Geometry. Molecular Crystals and Liquid Crystals, 437. pp. 1495-1512.

2004

McKay, G. and MacKenzie, K.R. and Mottram, N.J. (2004) Competing polarization effects in a homeotropically aligned smectic liquid crystal. Ferroelectrics, 309. pp. 35-41. ISSN 0015-0193

Woods, P.D. and Stewart, I.W. and Mottram, N.J. (2004) Flow effect in director relaxation of bookshelf aligned smectic C liquid crystals. Molecular Crystals and Liquid Crystals, 413 (1). pp. 271-278.

2003

Mottram, N. and Webster, R.E. and Cleaver, D.J. (2003) Molecular simulation of chevrons in confined smectic liquid crystals. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 68. 021706-1. ISSN 2470-0053

Brown, C.V. and Mottram, N. (2003) Influence of flexoelectricity above the nematic Freedericksz transition. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 68. ISSN 2470-0053

2002

Kelly, Gavin and Mottram, Nigel and Ramage, Alison (2002) The effect of elastic anisotropy on nematic disclination lines. British Liquid Crystal Society Newsletter.

Mottram, N.J. and Hogan, S.J. (2002) Magnetic field-induced changes in molecular order in nematic liquid crystals. Continuum Mechanics and Thermodynamics, 14 (3). pp. 281-295. ISSN 0935-1175

Davidson, A.J. and Mottram, N.J. (2002) Flexoelectric switching in a bistable nematic device. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 65 (5). 051710. ISSN 2470-0053

Woods, P.D. and Mottram, N.J. and Stewart, I.W. (2002) Flow induced by director relaxation in smectic C* materials. Ferroelectrics, 277. pp. 251-258. ISSN 0015-0193

Ramage, A. and Mottram, N.J. (2002) In-layer defects in smectic C materials. Ferroelectrics, 278 (3). pp. 57-65. ISSN 0015-0193

2001

Beccherelli, B. and Judge, L.A. and Mottram, N.J. and Elston, S.J. (2001) Surface evanescent field characterisation of antiferroelectric liquid crystals. Molecular Crystals and Liquid Crystals, 358 (1). pp. 263-274. ISSN 1542-1406

Beldon, Steve M. and Mottram, Nigel J. and Elston, Steve J. (2001) A chevron model of the electroclinic effect across the SA*-SC* phase transition in a SSFLC. Molecular Crystals and Liquid Crystals, 365 (1). pp. 729-783. ISSN 1542-1406

Mottram, Nigel J. and Elston, Steve J. (2001) The influence of polar surface anchoring on switching in antiferroelectric liquid crystals. Molecular Crystals and Liquid Crystals, 364 (1). pp. 361-371. ISSN 1542-1406