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No-Signaling in Steepest Entropy Ascent: A Nonlinear, Non-Local, Non-Equilibrium Quantum Dynamics of Composite Systems Strongly Compatible with the Second Law. [PDF]
Entropy (Basel)Ray RK, Beretta GP.
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phase2: Full-State Vector Simulation of Quantum Time Evolution at Scale
Miller M +7 more
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Diffusion in Hamiltonian systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1998The study is reported of a diffusion in a model of degenerate Hamiltonian systems. The Hamiltonian under consideration is the sum of a linear function of action variables and a periodic function of angle variables. Under certain choices of these functions the diffusion of action variables exists. In the case of two degrees of freedom during the process
N. G. Moshchevitin, V. V. Kozlov
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Transport in Hamiltonian Systems
Physica D: Nonlinear Phenomena, 1984The authors develop a theory of transport in Hamiltonian systems in the context of iteration of area-preserving maps. Invariant closed curves present complete barriers to transport, but in regions without such curves there are still invariant Cantor sets. In the regular components the motion is quasiperiodic and orbits lie in the KAM tori.
Robert S. MacKay +2 more
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An integrable Hamiltonian system
Physics Letters A, 1995Abstract For any n , the dynamical system characterized by the Hamiltonian H = ∑ j , k = 1 n p j p k { λ + μ cos[ v ( q j − q k )]} is completely integrable: n constants of motion in involution are explicitly given, its initial-value problem is solved in completely explicit form.
Francesco Calogero, Francesco Calogero
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