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Dr Bernard Piette, PhD in Physics

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Media Contacts

Available for media contact about:

• Europe: Language, literature & culture: Belgium
• Computers: computers & networks
• Computers: non-linear science
• Pure mathematics: mathematical modelling of physical phenomena particularly structures & fluid flow
• Computer Science: Computer technology
• Mathematical Sciences and Statistics: Mathematical physics
• Numerical analysis: Mathematical physics
• Particle theory: Mathematical physics
• Physics: Mathematical physics
• Language, Literature & the Arts: Computer Music
• Music: Computer Music
• Mathematical Sciences and Statistics: Computer Music

Research Interests

• Mathematical physics
• Nonlinear systems
• The Skyrme model in 2 and 3 dimensions
• Solitons in inhomogeneous systems
• Electron-phonon interaction in nano-systems

Selected Publications

Articles: magazine

• Brizhik, L.S. Eremko, A.A. Piette, B.M.A.G. & Zakrzewski, W.J. (2008). Ratchet behaviour of polarons in molecular chains. Journal of Physics: Condensed Matter 20(25): 255242.

Conference papers

• Brizhik, L., Eremko, A. Piette, B. & Zakrzewski, W.J. (2010), Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems, International Journal of Quantum Chemistry 110: Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins”. Kiev, Wiley, 25-37.
• Manton, N.S. & Piette, B.M.A.G (2001), Understanding Skyrmions Using Rational Maps, in C.Casacuberta & et al. eds, Progress in Mathematics 201: European Congress of Mathematics. Barcelona, Birkhauser, Basel, 469-479.
• Ioannidou, T. , Piette, B. & Zakrzewski, W.J. (2000), Skyrmions from Harmonic Maps, Quark 2000. St Petersburg.
• Ioannidou, T. Piette, B. & Zakrzewski, W.J. (1998), Low Energy States in the SU(N) Skyrme Model, in Eliashvili, M et al eds, Proceedings of ISPM-98 ISPM-98. 91-123.
• Piette, B.M.A.G. & Zakrzewski, W.J. (1994), General Structures in (2+1) Dimensional Models, in Spatschek, K.H. & Mertens, F.G. eds, Nonlinear Coherent Structures in Physics and Biology Plenum Press, 283-286.
• Piette, B. & Zakrzewski, W.J. (1993), Conserved Quantities of the Soliton Scatterings in (2+1) Dimensions, Anales de Fisica, Monografias V: Madrid, CIEMAT/RSEF, Madrid, 285-288.
• Piette, B. & Zakrzewski, W.J. (1993), Extended Structures in (2+1) Dimensions, in P.A. Clarkson eds, Applications of Analytic and Geometric Methods to Nonlinear Differential Equations Kluwer Academic Publishers, 47-64.
• Piette, B. & Zakrzewski, W.J. (1993), Soliton-like Structure in (2+1) Dimensions, in P.L. Christiansen et al. eds, Future Directions of Nonlinear Dynamics in Physical and Biological Systems Plenum Press, 73-76.
• Antoine, J-P. Duval, M. Murenzi, R. & iette, B. (1992), Image analysis with 2D wavelet transform: detection of position orientation and contour of simple objects, in Y. Meyer eds, Wavelets and their applications Masson and Springer-Verlag, Berlin, 144-159.
• Piette, B & Zakrzewski, W.J. (1991), Interactions of Solitons in (2+1) Dimensions, in Remoissenet, M. & Peyrard, M eds, Nonlinear Coherent Structures in Physics and Biology Lion, Springer-Verlag, Berlin, 242-249.
• Piette, B. & Zakrzewski, W.J. (1991), Skyrmions and their scattering in (2+1) dimensions, in P. Garbaczewski & Z. Popowicz eds, Nonlinear Fields: Classical, Random, Semiclassical Karpacz, World Scientific, 225-243.
• Peyrard, M. Piette, B. & Zakrzewski, W.J. (1991), Skyrmions in (2+1) dimensions, $25^{th}$ International Conference on High Energy Physics. World Scientific, 1415.
• Piette, B. & Zakrzewski, W.J. (1991), Skyrmions scattering in (2+1) dimensions, Proceedings of the $25^{th}$ International Conference on High Energy Physics Bruxelles, Springer Verlag, 325-329.
• Piette, B. (1988), Some Solutions of the U(N) Sigma Models, in H.D. Doebner, J.D. Hennig & T.D. Palev. eds, Lect. Notes in Physics Proc. 16th international Colloquium on Group Theoretical Methods in Physics. Varna, Springer, Berlin, 569.
• Antoine J-P. & Piette B. (1987), Classical Non-Linear $\sigma$ Models on Grassmann Manifolds, in Mitter, H. & Pittner, L. eds, Recent Development in Mathematical Physics. Schladling, Springer, Berlin, 191.

Edited works: conference proceedings

• Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2009). Davydov's solitons in zigzag carbon nanotubes. Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins, Wiley.
• Brizhik, L. Eremko, A. Ferreira, L.A. Piette, B. & Zakrzewski, W.J. (2009). Some Properties of Solitons. SelfOrganization of Molecular Systems, Kiev.
• Ferreira, L.A. Piette, B. & Zakrzewski, W.J. (2008). Dynamics of the topological structures in inhomogeneous media.
• Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W. (2008). Effects of Periodic electromagnetic Field on Charge Transport in Macromolecules. Frohlich Symposium, Biophysical Aspects of Cancer: Electromagnetic Mechanisms.
• Piette, B. & Zakrzewski, W.J. (2008). Scattering of sine-Gordon Kinks and Breathers on a Finite Width Well. Dynamic Systems and Applications, Atlanta, Georgia, USA.
• Piette, B. & Zakrzewski, W.J. (2008). Some Aspects of Dynamics of Topological Solitons. 22nd Max Born Symposium,, Wroclaw.
• Kopeliovich, V.B., Piette, B. & Zakrzewski, W.J. (2006). Mass Terms in the Skyrme Model. Quark 2006, St' Petersbourg, Russia.
• Piette, B.M.A.G. & Zakrzewski, W.J. (2000). Nontopological structures in the baby-Skyrme model. Solitons, Properties, Dynamics, Interactions and Applications,, Springer.
• Piette, B.M.A.G. & Zakrzewski, W.J. (1999). Skyrmions and Domain Walls. Properties, Dynamics, Interactions and Applications,, Springer.
• Ioannidou, T., Piette, B.M.A.G. & Zakrzewski, W.J. (1999). SU(N) Skyrmions and two dimensional CPN Rational Maps. New symmetries and integrable models, Karpacz.
• Ioannidou, T., Piette, B.M.A.G. & Zakrzewski, W.J. (1999). Three Dimensional Skyrmions and Harmonic Maps. Halifax.
• Piette, B.M.A.G. & Zakrzewski, W.J (1997). Soliton-like structures in two dimensions and their properties.
• Piette, B. & Zakrzewski, W.J. (1996). Some Aspects of Soliton Unwindings. World Scientific.
• Piette, B.M.A.G. & Zakrzewski, W.J. (1995). Scattering of extended structures in (2+1) dimensional models,. World Scientific.

Journal papers: academic

• Nelmes,S & Piette,B.M.A.G. (2012). Phase transition and anisotropic deformations of neutron star matter. Physical Review D 85(12): 123004.
• Chakrabarti, B., Piette, B.M.A.G. & Zakrzewski, W.J. (2012). Spontaneous Polaron Transport in Biopolymers. EPL (Europhysics Letters) 97(4): 47005.
• Nelmes,S. & Piette,B.M.A.G. (2011). Skyrmion stars and the multilayered rational map ansatz. Physical Review D 84(8): 085017.
• Smertenko,A.P. , Piette,B. & Hussey,P.J. (2011). The origin of phragmoplast asymmetry. Current Biology 21(22): 1924-1930.
• Liu, J., Piette, B.M.A.G., Deeks, M.J., Franklin-Tong, V.E. & Hussey, P.J. (2010). A compartmental model analysis of integrative and self-regulatory ion dynamics in pollen tube growth. PLoS ONE 5(10): e13157.
• Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W.J. (2010). Ratchet dynamics of large polarons in asymmetric diatomic molecular chains. Journal of Physics: Condensed Matter 22(15): 155105.
• Piette, B.M.A.G., Liu, J., Peeters, K., Smertenko, A., Hawkins, T., Deeks, M., Quinlan, R., Zakrzewski, W.J. & Hussey, P.J. (2009). A Thermodynamic Model of Microtubule Assembly and Disassembly. PLoS ONE 4(8): e6378.
• Piette B. & Zakrzewski, W.J. (2009). Scattering of sine-Gordon Breathers on a Potential Well. Physical Review E 79(4): 046603.
• Piette, B. & Zakrzewski, W.J. (2008). Skyrme Model with Different Mass Terms. Physical Review D 77: 074009 (.
• Lin, W.T. & Piette, B. (2008). Skyrmion Vibration Modes within the Rational Map Ansatz. Physical Review D: Particles, Fields, Gravitation and Cosmology 77(12): 125028
• Ferreira, L.A., Piette, B. & Zakrzewski, W.J. (2008). Wobbles and other kink-breather solutions of the Sine Gordon model. Physical Review E 77: 036613.
• Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2007). Adiabatic self-trapped states in carbon nanotubes. J. Phys Cond. Mat 19: 306205.
• Piette, B. & Zakrzewski, W.J. (2007). Dynamical properties of a Soliton in a Potential Well. Journal of Physics A: Mathematical and Theoretical 40(2 ): 329-346.
• Piette, B. & Zakrzewski, W.J. (2007). Scattering of Sine-Gordon kinks on potential wells. Journal of Physics A: Mathematical and Theoretical 40(22): 5995-6010.
• Bratek, L. Brizhik, L., Eremko, A., Piette, B., Watson, M. & Zakrzewski, W.J. (2007). Self-trapped electron states in carbon nanotubes. Physica D 228(2): 130-139.
• Piette, B.M.A.G. & Probert, G.I. (2007). Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model. Physical Review D 75: 125023.
• Brizhik, L. Eremko, A., Piette, B. & Zakrzewski, W.J. (2006). Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure. Chemical Physics 324(1): 259-266.
• Brizhik, L. Eremko, A., Piette, B. & Zakrzewski, W.J. (2006). Electron self-trapping on a nano-circle. Physica D: Nonlinear Phenomena 218(1): 36-55.
• Kopeliovich, B.V. Piette, B. & Zakrzewski, W.J. (2006). Mass terms in the Skyrme Model. Physical Review D 73(1): 014006.
• Piette, B. & Ward, R.S. (2005). Planar Skyrmions: vibrational modes and dynamics. Physica D: Nonlinear Phenomena 201(1-2): 45-55.
• Piette, B. , Zakrzewski, W.J. & Brand, J. (2005). Scattering of Topological Solitons on Holes and Barriers. J. Phys A: Math. Gen.(38): 10403-10412.
• Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W.J. (2004). Solitons in alpha-helical proteins. Phys.Rev E(70): 031914.
• Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2003). Spontaneous Localisation of Electrons in Two-dimensional Lattices within the Adiabatic Approximation. Journal of Mathematical Physics (44): 3689-3697.
• Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2003). Spontaneous Localization of Electrons in Lattices with Non-Local Interactions. Physical Review B(68): 104301.
• Brizhik, L., Eremko, A., Piette, B. & Zakrzewski, W.J. (2003). Static solutions of a D-dimensional Modified Nonlinear Schroedinger Equation. Nonlinearity 16(4): 1481-1497.
• Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W.J. (2002). Electron Self-Trapping in Discrete Two-Dimensional Lattices: II. Analytical Study. Ukr. Fiz. Journal (47): 890-897.
• Brizhik, L Piette, B. & Zakrzewski, W.J. (2001). Electron Self-Trapping in Anisotropic Two Dimensional Lattices. Ukr. Fiz. Journal (46): 503-511.
• Brizhik, L. Eremko, A. Piette, B. & Zakrzewski, W.J. (2001). Electron Self-Trapping in Discrete Two-Dimensional Lattices. Physica D(159): 71-90.
• Brihaye, Y. & Piette, B.M.A.G. (2001). Gravitating monopoloes in SU(3) gauge theory. Phys. Rev D(64): 084010.
• Brihaye, Y., Paturyan, V., Piette, B.M.A.G. & Tchrakian, D.H. (2001). Instantons in 4-dimensional gauged O(5) Skyrme models. Journal of Methematical Physics (42): 4669-4683.
• Floratos, I. & Piette, B.M.A.G. (2001). Multi-Skyrmion Solutions for the 6th order Skyrme Model. Phys. Rev D(64): 045009.
• Ioannidou, T. Piette, B. , Sutcliffe, P. & Zakrzewski, W.J. (2001). Skyrmions and Rational Maps. Nonlinearity (14): C1-C5.
• Brizhik, L., Eremko, A., Piette, B.M.A.G. & Zakrzewski, W.J. (2001). Solitonic Electron States in a Discrete Two-Dimensional Lattice. Physica D(2802): 1-20.
• I. Floratos & B.M.A.G. Piette (2001). Spherically Symmetric Solutions of the sixth order SU(N) Skyrme Models. Journal of Mathematical Physics 42(12): 5580-5595.
• Brizhik, L., Eremko, A., Piette, B.M.A.G. & Zakrzewski, W.J. (2001). Spontaneously Localized Electron States in a Discrete Anisotropic Two-Dimensional Lattice. Physica D(159): 71-90.
• Kudryavtsev, A. Piette, B. & Zakrzewski, W.J. (2000). Interaction of Skyrmions with domain walls. Phys. Rev D( 61): 025016.
• Piette, B & Tchrakian, DH (2000). Static Solutions in the U(1) Gauged Skyrme Model. D(62): 025020.
• Ioannidou, T., Piette, B.M.A.G. & Zakrzewski, W.J. (1999). Spherically Symmetric Solutions of the SU(N) Skyrme Models. Journal of Mathematical Physics 40: 6223-6233.
• Ioannidou, T., Piette, B.M.A.G. & Zakrzewski, W.J. (1999). SU(N) Skyrmions and Harmonic Maps. Journal of Mathematical Physics (40): 6353-6365.
• Piette, B.M.A.G. & Zakrzewski, W.J. (1998). Localized solutions in a 2 dimensional landau-lifshitz model. Physica D(119): 314-326.
• Piette, B.M.A.G., Kudryavtsev, A. & Zakrzewski, W.J. (1998). Mesons, baryons and waves in the baby skyrmion model. Eur. Phys. J C(1): 333-341.
• Piette, B.M.A.G. & Zakrzewski, W.J. (1998). Metastable stationary solutions of the radial d dimensional sine-Gordon model. Nonlinearity (11): 1103-1110.
• Piette, B.M.A.G. & Zakrzewski, W.J. (1998). Numerical integration of (2+1) dimensional PDEs for valued functions. J. Comp. Phys (145): 359-381.
• Piette, B.M.A.G., Kudryavtsev, A. & Zakrzewski, W.J. (1998). Skyrmions and domain walls in (2+1) dimensions. Nonlinearity (11): 783-795.
• Piette, B.M.A.G., Bogolubsky, I.L. & Zakrzewski, W.J. (1998). Solitons of a general gauged S^2 model with a mass term. Phys. Lett B(432): 151-158.
• Leznov, A.N., Piette, B.M.A.G. & Zakrzewski, W.J (1997). On the integrability of pure skyrme models in 2 dimensions. J.Math.Phys (38): 3007-3011.
• Piette, B.M.A.G. & Zakrzewski, W.J. (1996). Shrinking of Solitons in the 2+1 Dimensional S2 Sigma Model. Nonlinearity (9): 897-910.
• Piette, B.M.A.G, Gladikowski, J. & Schroers, B.J. (1996). Skyrme-Maxwell Solitons in 2+1 Dimensions. Physical Review D(53): 844-851.
• Piette, B.M.A.G., Schroers, B.J. & Zakrzewski, W.J. (1995). Dynamics of Baby Skyrmions. Nuclear Physics B(439): 205-238.
• Piette, B.M.A.G., Schroers, B.J. & Zakrzewski, W.J. (1995). Multisolitons in a two-dimensional Skyrme Model. Zeitschrift fur Physik C(65): 165-174.
• Piette, B. & Zakrzewski:, W.J. (1995). Skyrmion Dynamics in (2+1) dimensions. Chaos, Solitons and Fractals (5): 2495-2508.
• Muller-Kirsten, H.J.W., Piette, B. Tchrakian, DH & Zakrzewski, W.J. (1994). A modified Mottola-Wipf model with sphaleron and instanton fields. Phys. Lett B(320): 294-298.
• Piette, B. Tchrakian, D.H. & Zakrzewski, W.J. (1994). Chern-Simons solitons in a CP1 model. Phys. Lett B(339): 95-100.
• Piette, B.M.A.G., Tchrakian, D.H. & Zakrzewski, W.J. (1994). Chern-Simons solitons in a model. Phys. Lett
• Piette, B. & Zakrzewski, W.J. (1994). Some aspects of scattering of skyrmions in (2+1) dimensions. Nonlinearity (7): 231-244.
• Kudryavtsev, A. Piette, B. & Zakrzewski, W.J. (1993). $\pi$/N Scattering in (2+1) Dimensions. Phys. Lett A( 180): 119-123.
• Antoine, J.-P. Carrete, P. Murenzi, R. & Piette, B. (1993). Image Analysis with Two-dimensional Continuous Wavelet Transform. Signal Processing (31): 241-272.
• Piette, B. & Zakrzewski, W.J. (1993). Skyrmion Model in (2+1) Dimensions with Soliton Bound States. Nucl. Phys B( 393): 65-78.
• Peyrard, M. Piette, B. & Zakrzewski, W.J. (1993). Soliton like behaviour in a modified Sine-Gordon model. Physica D( 64): 355-364.
• Kudryavtsev, A. Piette, B. & Zakrzewski, W.J. (1993). Soliton-Soliton and Wave-Soliton Collisions in Skyrme-like $\sigma$ Models. Zeit. Phys C( 60): 731-737.
• Piette, B. Rashid, M.S. & Zakrzewski, W.J. (1993). Solitons Scattering in a $CP^{2}$ Model. Nonlinearity (6): 1077-1090.
• Chakrabarti, A. Piette, B. Tchrakian, D.H. & Zakrzewski, W.J. (1992). A class of N dimensional models with extended structure solutions. Z. Phys C( 56): 461-467.
• Piette, B. Tchrakian, D.H. & Zakrzewski, W.J. (1992). A class of two dimensional models with extended structure solutions. Z. Phys C( 54): 497.
• Izquierdo, J.M. Piette, B. Rashid, M.S. & Zakrzewski, W.J. (1992). Models with Solitons in (2+1) Dimensions. Z. Phys C( 53): 177.
• Piette, B. Sutcliffe, P. & Zakrzewski, W.J. (1992). Solitons - Antisolitons Scattering in (2+1) Dimensions. Int. Journal. Mod. Phys. and Comp C( 3): 637-660.
• Peyrard, M. Piette, B. & Zakrzewski, W.J. (1992). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case. Nonlinearity (5): 563-583.
• Peyrard, M. Piette, B. & Zakrzewski, W.J. (1992). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems. Nonlinearity (5): 585-600.
• Piette, B. Zakrzewski & W. (1989). Finite Energy Solutions for 1+1 Dimensional $\sigma$ Models. J. Math. Phys (31): 916.
• Piette, B. & Zakrzewski, W. (1989). Some Classes of General Solutions of the U(N) Chiral $\sigma$ Models in two Dimensions. J. Math. Phys (30): 2233.
• Piette, B. (1988). Explicit Solutions of Grassmannian $\sigma$ Models. J. Math. Phys (29): 2190.
• Piette, B. & Zakrzewski, W. (1988). General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions. Nucl. Phys B(300): 207.
• Piette, B. Stokoe, I. & Zakrzewski, W. (1988). On Stability of Solutions of the U(N) Chiral Models in two Dimensions. Z. Phys C( 37): 449.
• Piette, B. & Zakrzewski, W. (1988). Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions. Nucl. Phys B(300): 223.
• Antoine, J-P, & Piette, B. (1988). Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds. J. Math. Phys (29): 1687.
• Lambert, D. Piette & B. (1988). Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. Class. Quant. Grav (5): 307.
• Piette, B. Zait, R. & Zakrzewski, W. (1988). Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term. Z. Phys C( 44): 111.
• Piette, B. Zait, R. & Zakrzewski, W. (1988). Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term. Z. Phys C( 39): 359.
• Antoine, J-P. & Piette, B. (1987). Classical Non-Linear $\sigma$ Models on Grassmann Maniflods of Compact or Non-Compact type. J.Math.Phys (28): 2753.
• Piette, B & Vinet, L (1987). Spectrum-Generating Algebras for the Supersymmetric Morse and Poschl-Teller Hamiltonians. Phys. Lett A(125): 380.

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