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Symmetry, Chaos and Temperature in the One-dimensional Lattice φ4 Theory
The symmetries of the minimal φ4 theory on the lattice are systematically analyzed. We find that symmetry can restrict trajectories to subspaces, while their motions are still chaotic. The chaotic dynamics of autonomous Hamiltonian systems are discussed in relation to the thermodynamic laws. Pos ...
The 2017 SNOOK PRIZES in Computational Statistical Mechanics
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 explor ...