Symmetry, Chaos and Temperature in the One-dimensional Lattice Φ4 Theory

• Autorzy: Aoki K.

Identyfikatory

DOI

10.12921/cmst.2017.0000055

• Języki publikacji: EN

Abstrakty

EN

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. Possibilities of configurations with non-equal ideal gas temperatures in the steady state in Hamiltonian systems, are investigated, and examples of small systems in which the ideal gas temperatures are different within the system are found. The pairing of local (finite-time) Lyapunov exponents are analyzed, and their dependence on various factors, such as the energy of the system, the characteristics of the initial conditions are studied and discussed. We find that for the Φ4 theory, higher energies lead to faster pairing times. We also find that symmetries can impede the pairing of local Lyapunov exponents and the convergence of Lyapunov exponents.

Słowa kluczowe

EN

symmetries in chaotic dynamics; Lyapunov exponents; second law of thermodynamics

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2018
• Tom: Vol. 24, No. 2
• Strony: 83--95
• Opis fizyczny: Bibliogr. 35 poz., rys.

Twórcy

autor

Aoki K.

• Research and Education Center for Natural Sciences and Hiyoshi Department of Physics Keio University, Yokohama 223-8521, Japan

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).