Microscopic time-reversibility and macroscopic irreversibility: Still a paradox

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Microscopic time reversibility and macroscopic irreversibility are a paradoxical combination. This was first observed by J. Loschmidt in 1876 and was explained, for conservative systems, by L. Boltzmann the following year. Both these features are also present in modern simulations of classic many-body systems in steady nonequilibrium states. We illustrate them here for the simplest possible models, a continuous one-dimensional model of field-driven diffusion, the so-called driven Lorentz gas or Galton Board, and an ergodic time reversible dissipative map.

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Posch, H. A.; Dellago, Ch.; Hoover, W. G. & Kum, O. September 13, 1995.

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Microscopic time reversibility and macroscopic irreversibility are a paradoxical combination. This was first observed by J. Loschmidt in 1876 and was explained, for conservative systems, by L. Boltzmann the following year. Both these features are also present in modern simulations of classic many-body systems in steady nonequilibrium states. We illustrate them here for the simplest possible models, a continuous one-dimensional model of field-driven diffusion, the so-called driven Lorentz gas or Galton Board, and an ergodic time reversible dissipative map.

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20 p.

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OSTI as DE96000391

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  • University of Vienna symposium, Vienna (Austria), 25-28 Jun 1995

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  • Other: DE96000391
  • Report No.: UCRL-JC--122100
  • Report No.: CONF-9506268--1
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 114019
  • Archival Resource Key: ark:/67531/metadc621717

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  • September 13, 1995

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  • June 16, 2015, 7:43 a.m.

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  • Feb. 17, 2016, 2:26 p.m.

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Posch, H. A.; Dellago, Ch.; Hoover, W. G. & Kum, O. Microscopic time-reversibility and macroscopic irreversibility: Still a paradox, article, September 13, 1995; California. (digital.library.unt.edu/ark:/67531/metadc621717/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.