Results 1 to 10 of about 1,907 (143)
Lyapunov spectra and conjugate-pairing rule for confined atomic fluids [PDF]
Journal of Chemical Physics, 2010 In this work we present nonequilibrium molecular dynamics simulation results for the Lyapunov spectra of atomic fluids confined in narrow channels of the order of a few atomic diameters. We show the effect that realistic walls have on the Lyapunov spectra. All the degrees of freedom of the confined system have been considered.
B D Todd, J S Hansen, Debra J Searles
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Stability of quantum motion: Beyond Fermi-golden-rule and Lyapunov decay [PDF]
Physical Review E, 2004 We study, analytically and numerically, the stability of quantum motion for a classically chaotic system. We show the existence of different regimes of fidelity decay which deviate from Fermi Golden rule and Lyapunov decay.
Wen-Ge Wang, G Casati, Baowen Li
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Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostated systems [PDF]
Physical Review E, 2002 The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external restriction, in which particle interactions are expressed as a Gaussian white randomness.
Tooru Taniguchi, Gary P Morriss
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Fluctuation relation and pairing rule for Lyapunov exponents of inertial particles in turbulence [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2007 6 ...
Itzhak Fouxon
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Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
Physical Review E, 2001 The overlap of two wave functions evolving in time with slightly different Hamiltonians decays exponentially, for perturbation strengths greater than the level spacing. We present numerical evidence for a dynamical system that the decay rate is given by the smallest of the Lyapunov exponent of the classical chaotic dynamics and the level broadening ...
Philippe Jacquod +2 more
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Physical Review Letters, 1997 for the exponents of systems with more than one pair of exponents. In this paper we present an analytical calculation of the four Lyapunov exponents for a dilute, three-dimensional Lorentz gas with randomly placed hard sphere scatterers, both for an equilibrium system and for a system where the moving particle is placed in a thermostatted applied field.
Arnulf Latz +2 more
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Planar mixed flow and chaos: Lyapunov exponents and the conjugate-pairing rule [PDF]
The Journal of Chemical Physics, 2011 In this work we characterize the chaotic properties of atomic fluids subjected to planar mixed flow, which is a linear combination of planar shear and elongational flows, in a constant temperature thermodynamic ensemble. With the use of a recently developed nonequilibrium molecular dynamics algorithm, compatible and reproducible periodic boundary ...
Bernardi, Stefano +3 more
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On the Validity of the Conjugate Pairing Rule for Lyapunov Exponents
Journal of Statistical Physics, 1998 30 pages, 33 ps ...
Bonetto, F., Cohen, E. G. D., Pugh, C.
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Turkish Journal of Engineering, 2021 Various system parameter variations occur during operations in several existing process industries. These parameter variations result in process shifts, thus, requiring adequate control strategies to compensate for these alterations, which consequently maintain desired system response.
Demilade DINAKIN, Peter OLUSEYİ
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Comparative study of adaptive controller using MIT rules and Lyapunov method for MPPT standalone PV systems [PDF]
AIP Conference Proceedings, 2017 The Photovoltaic Generator have a nonlinear characteristic function relating the intensity at the voltage I = f (U) and depend on the variation of solar irradiation and temperature, In addition, its point of operation depends directly on the load that it supplies.
N. Tariba +5 more
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