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  • 1
    Electronic Resource
    Electronic Resource
    Hot carrier induced photodesorption dynamics of SO2 from Ag(111) (1993)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 10021-10033 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The photon-driven (2.5 to 6.4 eV) desorption of SO2 (coverages up to 2.7 monolayers) on Ag(111) has been studied by time-of-flight mass spectrometry in combination with temperature programmed desorption and Auger electron spectroscopy. The photodesorption yields per incident photon increase with photon energy. Consistent with substrate-mediated excitation, the mean translational energy 〈Etrans/2k〉 is constant (650 K) for photon energies between 3.5 and 6.4 eV, but decreases at longer wavelengths (480 K at 2.5 eV). The decrease is attributed to changes in the energy distribution of the hot substrate carriers responsible for desorption. The photodesorption yields vary with the initial coverage, the method of preparing the initial coverage, and the extent of photolysis. These variations are attributed, in part, to changes in the SO2 orientation on the surface. Even at 6.4 eV, where unimolecular photodissociation occurs in the gas phase and multilayer, there is no photodissociation in monolayers. This effect is attributed to strong substrate quenching.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.465506
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  • 2
    Electronic Resource
    Electronic Resource
    Finite coherence length for equilibrium states of generalized adiabatic Holstein models (1997)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 38 (1997), S. 2104-2114 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We prove that the equilibrium states of the adiabatic Holstein model, and a wide range of generalizations, have finite coherence length as long as they have electronic gap and phonon gap. ©1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532197
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  • 3
    Electronic Resource
    Electronic Resource
    Stability and chaotic advection in the eccentric Taylor problem (1991)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 1435-1435 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Theoretically, Lagrangian chaos or chaotic advection can occur by forcing a steady, two-dimensional velocity field with a time-periodic perturbation. This idea has recently been confirmed experimentally by Chaiken et al.1 and Chien et al.2 In principle, chaotic advection should also occur in a three-dimensional steady flow. To investigate this problem we constructed an eccentric Taylor–Couette apparatus with a rotating inner cylinder and a stationary outer cylinder. We obtain a 3-D steady flow in the following way. We first create a 2-D velocity field at small rotation rates of the inner cylinder by imposing a sufficiently large ecccentricity to obtain separated flow. (That is, an eddy in the region of largest gap is created by the separation of the fluid from the outer boundary and its reattachment downstream.) The inner cylinder rotation rate is then increased until Taylor vortices appear. The Taylor vortices modify the separated flow but do not destroy it. It is in this mixed Taylor vortex-separated flow regime that we carry out our studies of chaotic advection. On account of mathematical difficulties there exist few theoretical or experimental studies of stability of the flows in the eccentric geometry. We have therefore conducted numerical and laboratory experiments to identify the regions of parameter space where 3-D steady flow exists and where a transition of time dependence (i.e., 4-D flows) occurs. In our numerical work we used a commercial computational fluid dynamics program and we will report on our assessment of its accuracy in predicting the three-dimensional flow features observed in the experiments and its potential for investigating chaotic advection. In particular, we use it to find the "skeleton'' of the flow and the fluxes between the associated regions of different flow type that it defines, and compare these with experimental observations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858023
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  • 4
    Electronic Resource
    Electronic Resource
    Linear stability of symplectic maps (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 1036-1051 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A general method is presented for analytically calculating linear stability limits for symplectic maps of arbitrary dimension in terms of the coefficients of the characteristic polynomial and the Krein signatures. Explicit results are given for dimensions 4, 6, and 8. The codimension and unfolding are calculated for all cases having a double eigenvalue on the unit circle. The results are applicable to many physical problems, including the restricted three-body problem and orbital stability in particle accelerators.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527544
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  • 5
    Electronic Resource
    Electronic Resource
    Arterial and Tonometric Pressure Measurements in the Eye (1962)
    [s.l.] : Nature Publishing Group
    Nature 194 (1962), S. 687-688 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] The pressure-sensitive spot in the centre of the probe is a rod the end of which is coplanar with the surrounding plate, and which activates a differential transformer2. For reasons of cleanliness, the unit is encased in a thin sterilized cover before use. If the output of the instrument as a ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/194687a0
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  • 6
    Electronic Resource
    Electronic Resource
    Converse KAM: Theory and practice (1985)
    Springer
    Communications in mathematical physics 98 (1985), S. 469-512 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We unify, extend, reinterpret and apply criteria of Birkhoff [1], Herman [9], Mather [2, 3], Aubry et al. [4, 5], and Newman and Percival [6] for the nonexistence of invariant circles for area preserving twist maps. The criteria enable one to establish regions of phase space through which no rotational invariant circles pass. For families of maps the same can be done for regions of the combined space of phase points and parameters. The criteria can be implemented rigorously on a computer, and give a practical method of proving quite strong results. As an example, we present a computer program which proved that the “standard map” has no rotational invariant circles for any parameter value |k|≧63/64.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01209326
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  • 7
    Electronic Resource
    Electronic Resource
    The classical statistical mechanics of Frenkel-Kontorova models (1995)
    Springer
    Journal of statistical physics 80 (1995), S. 45-67 
    Details
    ISSN: 1572-9613
    Keywords: Renormalization ; scaling ; specific heat ; anti-integrable limit ; sliding-pinned transition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The scaling properties of the free energy, specific heat, and mean spacing are calculated for classical Frenkel-Kontorova models at low temperature, in three regimes: near the integrable limit, the anti-integrable limit, and the sliding-pinned transition (“transition by breaking of analyticity”). In particular, the renormalization scheme given in previous work for ground states of Frenkel-Kontorova models is extended to nonzero-temperature Gibbs states, and the hierarchical melting phenomenon of Vallet, Schilling, and Aubry is put on a rigorous footing.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02178353
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  • 8
    Electronic Resource
    Electronic Resource
    Mode-locking and rotational chaos in networks of oscillators: A mathematical framework (1994)
    Springer
    Journal of nonlinear science 4 (1994), S. 301-314 
    Details
    ISSN: 1432-1467
    Keywords: mode-locking ; rotational chaos ; oscillator ; network ; rotation set
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Summary A mathematical framework is presented for describing mode-locking and rotational chaos in networks of oscillators. Its advantages are explained, and some key questions are identified.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02430635
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  • 9
    Electronic Resource
    Electronic Resource
    Transport in 3D volume-preserving flows (1994)
    Springer
    Journal of nonlinear science 4 (1994), S. 329-354 
    Details
    ISSN: 1432-1467
    Keywords: volume-preserving flows ; skeleton ; locally minimal flux ; sneaky returns ; 58F11
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Summary The idea of surfaces of locally minimal flux is introduced as a key concept for understanding transport in steady three-dimensional, volume-preserving flows. Particular attention is paid to the role of the skeleton formed by the equilibrium points, selected hyperbolic periodic orbits and cantori and connecting orbits, to which many surfaces of locally minimal flux can be attached. Applications are given to spheromaks (spherical vortices) and eccentric Taylor-Couette Flow.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02430637
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  • 10
    Electronic Resource
    Electronic Resource
    Periodic and Chaotic Trajectories of the Second Species for the n-Centre Problem (2000)
    Springer
    Celestial mechanics and dynamical astronomy 77 (2000), S. 49-75 
    Details
    ISSN: 1572-9478
    Keywords: n-centre problem ; 3-body problem ; second species orbits ; collisions ; regularisation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For the n-centre problem of one particle moving in the potential of attracting centres of small mass fixed in an arbitrary smooth potential and magnetic field, we prove the existence of periodic and chaotic trajectories shadowing sequences of collision orbits. In particular, we obtain large subshifts of solutions of this type for the circular restricted 3-body problem of celestial mechanics. Poincaré had conjectured existence of the periodic ones and given them the name ‘second species solutions’.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008393706818
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