2021

Jansen, Sabine, König, Wolfgang, Schmidt, Bernd and Theil, Florian (2021) Distribution of cracks in a chain of atoms at low temperature. Annales Henri Poincare, 22 . pp. 4131-4172. doi:10.1007/s00023-021-01076-7 ISSN 1424-0637.

Giuliani, Alessandro and Theil, Florian (2021) Long range order in atomistic models for solids. Journal of the European Mathematical Society, 24 (10). pp. 3505-3555. doi:10.4171/jems/1169 ISSN 1435-9855.

Jansen, Sabine, Konig, Wolfgang, Schmidt, Bernd and Theil, Florian (2021) Surface energy and boundary layers for a chain of atoms at low temperature. Archive for Rational Mechanics and Analysis, 239 . pp. 915-980. doi:10.1007/s00205-020-01587-3 ISSN 0003-9527.

2020

Hunt, Matthew, Brosa Planella, Ferran, Theil, Florian and Widanage, Widanalage Dhammika (2020) Derivation of an effective thermal electrochemical model for porous electrode batteries using asymptotic homogenisation. Journal of Engineering Mathematics, 122 . pp. 31-57. doi:10.1007/s10665-020-10045-8 ISSN 0022-0833.

2019

Theil, Florian and Thorpe, Matthew (2019) Asymptotic analysis of the Ginzburg-Landau functional on point clouds. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 149 (2). pp. 387-427. doi:10.1017/prm.2018.32 ISSN 0308-2105.

Matthies, Karsten and Theil, Florian (2019) Rescaled objective solutions of Fokker-Planck and Boltzmann equations. SIAM Journal of Mathematical Analysis . ISSN 0036-1410.

2018

Schweizer, Ben and Theil, Florian (2018) Lattice dynamics on large time scales and dispersive effective equations. SIAM Journal on Applied Mathematics, 78 (6). pp. 3060-3086. doi:10.1137/17M1162184 ISSN 0036-1399.

Matthies, Karsten, Stone, George and Theil, Florian (2018) The derivation of the linear Boltzmann equation from a Rayleigh gas particle model. Kinetic and Related Models, 11 (1). pp. 137-177. doi:10.3934/krm.2018008 ISSN 1937-5093.

Schweizer, Ben and Theil, Florian (2018) Lattice Dynamics on Large Time Scales and Dispersive Effective Equations. SIAM Journal on Applied Mathematics, 78 (6). pp. 3060-3086. doi:10.1137/17M1162184 ISSN 0036-1399.

2015

Thorpe, Matthew, Theil, Florian, Johansen, Adam M. and Cade, Neil (2015) Convergence of the k-means minimization problem using Γ-convergence. SIAM Journal on Applied Mathematics, 75 (6). pp. 2444-2474. doi:10.1137/140974365 ISSN 0036-1399.

Flatley, Lisa and Theil, Florian (2015) Face-centered cubic crystallization of atomistic configurations. Archive for Rational Mechanics and Analysis, 218 (1). pp. 363-416. doi:10.1007/s00205-015-0862-1 ISSN 0003-9527.

2014

Bourne, D. P., Peletier, M. A. and Theil, Florian (2014) Optimality of the triangular lattice for a particle system with Wasserstein interaction. Communications in Mathematical Physics, Volume 329 (Number 1). pp. 117-140. doi:10.1007/s00220-014-1965-5 ISSN 0010-3616.

2013

Ortner, Christoph and Theil, Florian (2013) Justification of the Cauchy-Born approximation of elastodynamics. Archive for Rational Mechanics and Analysis, Volume 207 (Number 3). pp. 1025-1073. doi:10.1007/s00205-012-0592-6 ISSN 0003-9527.

Flatley, Lisa, Tarasov, Alexey, Taylor, Martin and Theil, Florian (2013) Packing twelve spherical caps to maximize tangencies. Journal of Computational and Applied Mathematics, volume 254 . pp. 220-225. doi:10.1016/j.cam.2013.03.036 ISSN 0377-0427.

2012

Ortner, Christoph and Theil, Florian (2012) Nonlinear elasticity from atomistic mechanics. Working Paper. ArXiv e-prints. ArXiv e-prints (No.1202.3858v3).

Pinski, F. J., Stuart, A. M. and Theil, Florian (2012) Γ-limit for transition paths of maximal probability. Journal of Statistical Physics, Vol.146 (No.5). pp. 955-974. doi:10.1007/s10955-012-0443-8 ISSN 0022-4715.

Ortiz, Michael, Theil, Florian, Koslowski, M. and Sullivan, T. (2012) Thermalization of rate-independent processes by entropic regularization. Discrete and Continuous Dynamical Systems - Series S, Vol. 6 (No. 1). pp. 215-233. doi:10.3934/dcdss.2013.6.215 ISSN 1937-1632.

Matthies, Karsten and Theil, Florian (2012) A semigroup approach to the justification of kinetic theory. SIAM Journal on Mathematical Analysis, 44 (6). pp. 4345-4379. doi:10.1137/120865598 ISSN 0036-1410.

2011

Betz, Volker, Gelfreich, Vassili and Theil, Florian (2011) Oscillatory sums. The Mathematical Intelligencer, Vol.33 (No.3). pp. 110-114. doi:10.1007/s00283-011-9224-5 ISSN 0343-6993.

Theil, Florian (2011) Surface energies in a two-dimensional mass-spring model for crystals. ESAIM : Mathematical Modelling and Numerical Analysis, Vol.45 (No.5). pp. 873-899. doi:10.1051/m2an/2010106 ISSN 0764-583X.

2010

Matthies, Karsten and Theil, Florian (2010) Validity and failure of the Boltzmann approximation of kinetic annihilation. Journal of Nonlinear Science, Vol.20 (No.1). pp. 1-46. doi:10.1007/s00332-009-9049-y ISSN 0938-8974.

Theil, Florian, Sullivan, Tim J. and Koslovski, Marisol (2010) Dissipative systems in contact with a heat bath : application to Andrade Creep. In: Hackl, K. (Klaus), (ed.) IUTAM symposium on variational concepts with applications to the mechanics of materials : Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22-26, 2008. IUTAM Bookseries, Volume 21 . Dordrecht ; New York: Springer, pp. 261-272. ISBN 9789048191956

2009

Sullivan, T., Koslowski, M., Theil, Florian and Ortiz, M. (2009) On the behavior of dissipative systems in contact with a heat bath : application to Andrade creep. Journal of the Mechanics and Physics of Solids, Vol.57 (No.7). pp. 1058-1077. doi:10.1016/j.jmps.2009.03.006 ISSN 0022-5096.

Leimkuhler, Ben, Noorizadeh, Emad and Theil, Florian (2009) A gentle stochastic thermostat for molecular dynamics. Journal of Statistical Physics, Vol.135 (No.2). pp. 261-277. doi:10.1007/s10955-009-9734-0 ISSN 0022-4715.

2008

Harris, Lisa C., Lukkarinen, Jani, Teufel, Stefan and Theil, Florian (2008) Energy transport by acoustic modes of harmonic lattices. SIAM Journal on Mathematical Analysis, Volume 40 (Number 4). pp. 1392-1418. doi:10.1137/070699184 ISSN 0036-1410.

Matthies, Karsten and Theil, Florian (2008) Validity and non-validity of propagation of chaos. In: Mörters, Peter and Moser, Roger and Penrose, Mathew and Schwetlick, Hartmut and Zimmer, Johannes, (eds.) Analysis and stochastics of growth processes and interface models. Oxford: Oxford University Press, pp. 101-120. ISBN 9780199239252

2007

Harris, L., Theil, Florian, Lukkarinen, Jani and Teufel, Stefan (2007) Energy transport in harmonic lattices. Communications to SIMAI Congress, Vol.2 . pp. 1-10. doi:10.1685/CSC06170 ISSN 1827-9015.