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Volume 24 (2) 2018, 75–79

The 2017 SNOOK PRIZES in Computational Statistical Mechanics

Hoover Wm.G. , Hoover C.G.

Ruby Valley Research Institute
Highway Contract 60, Box 601, Ruby Valley, Nevada 89833, USA
E-mail: hooverwilliam@yahoo.com

Received:

Received: 30 March 2018; published online: 30 May 2018

DOI:   10.12921/cmst.2018.0000024

Abstract:

The 2017 Snook Prize has been awarded to Kenichiro Aoki for his exploration of chaos in Hamiltonian φ4 models. His work addresses symmetries, thermalization, and Lyapunov instabilities in few-particle dynamical systems. A companion paper by Timo Hofmann and Jochen Merker is devoted to the exploration of generalized Hénon-Heiles models and has been selected for Honorable Mention in the Snook-Prize competition.

Key words:

Lyapunov instability, reversibility, second law of thermodynamics, time-symmetry breaking

References:

[1] Wm. G. Hoover and C. G. Hoover, Instantaneous Pairing of
Lyapunov Exponents in Chaotic Hamiltonian Dynamics and the
2017 Ian Snook Prizes, Computational Methods in Science and
Technology 23 (1), 73-79 (2017).
[2] K. Aoki, Symmetry, Chaos, and Temperature in the
One-Dimensional Lattice φ4 Theory, CMST 24(2), 83–95 (2018).
[3] K. Aoki and D. Kusnezov, Lyapunov Exponents and the Exten-
sivity of Dimensional Loss for Systems in Thermal Gradients,
Physical Review E 68, 056204 (2003).
[4] Wm. G. Hoover and C. G. Hoover, Microscopic and Macro-
scopic Simulation Techniques – Kharagpur Lectures (World Sci-
entific Publishers, Singapore, 2018), Section 10.8.
[5] T. Hofmann, J. Merker, On Local Lyapunov Exponents
of Chaotic Hamiltonian Systems, CMST 24(2), 97–111 (2018).

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