期刊文献+

Diffusion in the Lorentz Gas

Diffusion in the Lorentz Gas
原文传递
导出
摘要 The Lorentz gas, a point particle making mirror-like reflections from an extended collection of scatterers,has been a useful model of deterministic diffusion and related statistical properties for over a century. This survey summarises recent results, including periodic and aperiodic models, finite and infinite horizon, external fields, smooth or polygonal obstacles, and in the Boltzmann–Grad limit. New results are given for several moving particles and for obstacles with flat points. Finally, a variety of applications are presented. The Lorentz gas, a point particle making mirror-like reflections from an extended collection of scatterers,has been a useful model of deterministic diffusion and related statistical properties for over a century. This survey summarises recent results, including periodic and aperiodic models, finite and infinite horizon, external fields, smooth or polygonal obstacles, and in the Boltzmann–Grad limit. New results are given for several moving particles and for obstacles with flat points. Finally, a variety of applications are presented.
机构地区 School of Mathematics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第10期521-540,共20页 理论物理通讯(英文版)
关键词 LORENTZ gas Ehrenfest wind-tree model CONDUCTIVITY DIFFUSION Burnett COEFFICIENTS Lorentz gas,Ehrenfest wind-tree model,conductivity,diffusion,Burnett coefficients
  • 相关文献

参考文献10

  • 1Jens Marklof,Andreas Str?mbergsson.Free Path Lengths in Quasicrystals[J].Communications in Mathematical Physics.2014(2)
  • 2Jens Marklof,Andreas Str?mbergsson.Power-Law Distributions for the Free Path Length in Lorentz Gases[J].Journal of Statistical Physics.2014(6)
  • 3G. Basile,A. Nota,M. Pulvirenti.A Diffusion Limit for a Test Particle in a Random Distribution of Scatterers[J].Journal of Statistical Physics.2014(6)
  • 4Mikko Stenlund.A Vector-Valued Almost Sure Invariance Principle for Sinai Billiards with Random Scatterers[J].Communications in Mathematical Physics.2014(3)
  • 5Nikolai Chernov,Hong-Kun Zhang,Pengfei Zhang.Electrical Current in Sinai Billiards Under General Small Forces[J].Journal of Statistical Physics.2013(6)
  • 6MarkF. Demers.Escape rates and physical measures for the infinite horizon Lorentz gas with holes[J].Dynamical Systems.2013(3)
  • 7C. Angstmann,G.P. Morriss.An approximate formula for the diffusion coefficient for the periodic Lorentz gas[J].Physics Letters A.2012(23)
  • 8Péter Bálint,Imre Péter Tóth.Example for exponential growth of complexity in a finite horizon multi-dimensional dispersing billiard[J].Nonlinearity.2012(5)
  • 9Federico Bonetto,Nikolai Chernov,Alexey Korepanov,Joel Lebowitz.Spatial Structure of Stationary Nonequilibrium States in the Thermostatted Periodic Lorentz Gas[J].Journal of Statistical Physics.2012(6)
  • 10Carl P. Dettmann.New Horizons in Multidimensional Diffusion: The Lorentz Gas and the Riemann Hypothesis[J].Journal of Statistical Physics.2012(1)

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部