Publications thematically: David P. Sanders

Billiard models

Chaotic properties

• Chaos and stability in a two-parameter family of convex billiard tables
  Péter Bálint, Miklós Halász, Jorge A. Hernández-Tahuilán and David P. Sanders
  Nonlinearity 24(5), 1499 (2011)   |   [arXiv:1009.3922]

• Stable and unstable regimes in higher-dimensional convex billiards with cylindrical shape
  Thomas Gilbert and David P. Sanders
  New J. Phys. 13(2), 023040 (2011)   |   [arXiv:1009.0337]

• Chaos in cylindrical stadium billiards via a generic nonlinear mechanism
  Thomas Gilbert and David P. Sanders
  Int. J. Bif. Chaos 22(09), 1250206 (2012)   |   [arXiv:0908.4243]

Infinite horizon

• Efficient algorithms for the periodic Lorentz gas in two and three dimensions
  Atahualpa S. Kraemer, Nikolay Kryukov, David P. Sanders
  J. Phys. A: Math. Theor. 49(02), 025001 (2016)   |   [arXiv:1511.00236]

• Machta-Zwanzig regime of anomalous diffusion in infinite-horizon billiards
  Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci, David P. Sanders
  Phys. Rev. E 90(05), 050102(R) (2014)   |   [arXiv:arXiv:1408.0349]

• Measuring logarithmic corrections to normal diffusion in infinite-horizon billiards
  Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci & David P. Sanders
  Phys. Rev. E 90(02), 022106 (2014)   |   [arXiv:1405.0975]

Non-elastic billiards

• Structure and evolution of strange attractors in non-elastic triangular billiards
  Aubin Arroyo, Roberto Markarian and David P. Sanders
  Chaos 22(2), 026107 (2012)   |   [arXiv:1112.1255]

• Bifurcations of periodic and chaotic attractors in pinball billiards with focusing boundaries
  A. Arroyo, R. Markarian and David P. Sanders
  Nonlinearity 22(7), 1499 (2009)   |   [arXiv:0902.1563]

Quasiperiodic

• Horizons and free path distributions in quasiperiodic Lorentz gases
  Atahualpa S. Kraemer, Michael Schmiedeberg, David P. Sanders
  Phys. Rev. E 92(05), 052131 (2015)   |   [arXiv:1511.00340]

• Embedding quasicrystals in a periodic cell: Dynamics in quasiperiodic structures
  Atahualpa S. Kraemer and David P. Sanders
  Phys. Rev. Lett. 111(12), 125501 (2013)   |   [arXiv:1206.1103]

Transport properties

• Diffusive properties of persistent walks on cubic lattices with application to periodic Lorentz gases
  Thomas Gilbert, Huu Chuong Nguyen and David P. Sanders
  J. Phys. A: Math. Theor. 44(6), 065001 (2011)   |   [arXiv:1009.3922]

• Persistence effects in deterministic diffusion
  T. Gilbert and David P. Sanders
  Phys. Rev. E 80(4), 041121 (2009)   |   [arXiv: 0908.0600]

• Normal diffusion in crystal structures and higher-dimensional billiard models with gaps
  David P. Sanders
  Phys. Rev. E 78(6), 060101R (2008)   |   [arXiv:0808.2235]

• Occurrence of normal and anomalous diffusion in polygonal billiard channels
  David P. Sanders and H. Larralde
  Phys. Rev. E 73(2), 026205 (2006)   |   [arXiv:cond-mat/0510654]

• Fine structure of distributions and central limit theorem in diffusive billiards
  David P. Sanders
  Phys. Rev. E 71(1), 016220 (2005)   |   [arXiv:nlin.CD/0411012]

Metastability

• Competitive nucleation and the Ostwald rule in a generalized Potts model with multiple metastable phases
  David P. Sanders, H. Larralde and F. Leyvraz
  Phys. Rev. B. 75(13), 132101 (2007)   |   [arXiv:0704.0472]

• Metastability in Markov processes
  H. Larralde, F. Leyvraz and David P. Sanders
  J. Stat. Mech. 2006(08), P08013 (2006)   |   [arXiv:cond-mat/0608439]

Random environments

• Zero density of open paths in the Lorentz mirror model for arbitrary mirror probability
  Atahualpa S. Kraemer & David P. Sanders
  J. Stat. Phys. 156(5), 908 (2014)   |   [arXiv:1406.4796]

Random walks

Encounters

• Encounter times in overlapping domains: application to epidemic spread in a population of territorial animals
  Luca Giuggioli, Sebastian Pérez-Becker and David P. Sanders
  Phys. Rev. Lett. 110(5), 058103 (2013)   |   [arXiv:1207.2427]

• Exact encounter times for many random walkers on regular and complex networks
  David P. Sanders
  Phys. Rev. E 80(3), 036119 (2009)   |   [arXiv:0906.0810]

• How rare are diffusive rare events?
  David P. Sanders and H. Larralde
  Europhys. Lett. 82(4), 40005 (2008)   |   [arXiv:0804.1165]

Lattice Levy walks

• Lévy walks on lattices as multi-state processes
  Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci, David P. Sanders
  J. Stat. Mech. 2015(05), P05012 (2015)   |   [arXiv:1501.05216]

• Transport properties of Léy walks: an analysis in terms of multistate processes
  Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci, David P. Sanders
  Europhys. Lett. 108(5), 50002 (2014)   |   [arXiv:1407.0227]

Nonequilibrium stationary states

• Sustained currents in coupled diffusive systems
  Hernán Larralde and David P. Sanders
  J. Phys. A: Math. Theor. 47(34), 345001 (2014)   |   [arXiv:1401.5526]

• Long-range correlations in a simple stochastic model of coupled transport
  H. Larralde and David P. Sanders
  J. Phys. A: Math. Theor. 42(33), 335002 (2009)   |   [arXiv:0903.3166]

Transport properties

• Diffusion coefficients for periodically induced multi-step persistent walks on regular lattices
  Thomas Gilbert and David P. Sanders
  J. Phys. A 45(25), 255003 (2012)   |   [arXiv:]

• Diffusion coefficients for multi-step persistent random walks on lattices
  T. Gilbert and David P. Sanders
  J. Phys. A: Math. Theor. 43(3), 035001 (2010)   |   [arXiv:0908.1271]

Thermostatted dynamics

• Ergodicity of one-dimensional systems coupled to the logistic thermostat
  Diego Tapias, Alessandro Bravetti and David P. Sanders
  Submitted for publication   |   [arXiv:1611.05090]

• Geometric integrator for simulations in the canonical ensemble
  Diego Tapias, David P. Sanders, Alessandro Bravetti
  J. Chem. Phys. 145(08), 084113 (2016)   |   [arXiv:1605.01654]