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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 493-500 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A simple model for the instability of a steady ablation front is presented. The model is based on the sharp boundary approximation, but it is considered that, as far as the Rayleigh–Taylor instability regards, the front thickness is of the order of the minimum scale length of the density gradient. The model yields a general analytical expression for the linear growth rate, which does not depend explicitly on the particular process of energy deposition, which drives the ablation. For the specific case of electronic thermal conduction the model is in good agreement with previously reported numerical calculations. The growth rate results to be well fitted by the so-called Takabe formula, and the coefficients in such a formula are analytically derived. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 8 (2001), S. 997-1002 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analytical model for the Rayleigh–Taylor instability of an ablation front is developed by decoupling the instability analysis from the corona physics. Thus, the validity of the resulting dispersion relation is not limited by a particular approximation for the unperturbed profiles. In consequence, it turns out to be suitable for calculating the instability growth rate by using the corona profiles obtained from one-dimensional simulations. The model applies to the regime with large and intermediate Froude numbers, for which Fr≥10−2. However, it is well behaved also for Fr≤10−2, allowing for its application to situations with arbitrary Froude numbers. Besides, the model shows the relevance of the stabilizing effects of the lateral transport of mass and momentum. © 2001 American Institute of Physics.
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 2721-2726 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A relatively simple model for the dynamics of fast ignitors is presented. The model describes the processes taking place when a precompressed fuel is heated by a particle beam (ions or electrons) characterized by its range R, and the focal spot and intensity of the beam. As a result, the ignition conditions are calculated in terms of such parameters and of the fuel density. The model provides scaling laws for the ignition energy and for the beam intensity in which the dependence on the particles range is included. Besides, it gives a simple interpretation of reported simulations and explains the apparent discrepancies between them and previous analytic estimations. The importance of using particles with R≤0.3 g/cm2 turns out to be from the dependence of the ignition energy and the target gain on the range. © 1998 American Institute of Physics.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 4 (1997), S. 1117-1126 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A new model for the instability of a steady ablation front based on the sharp boundary approximation is presented. It is shown that a self-consistent dispersion relation can be found in terms of the density jump across the front. This is an unknown parameter that depends on the structure of the front and its determination requires the prescription of a characteristic length inherent to the instability process. With an adequate choice of such a length, the model yields results, in excellent agreement with the numerical calculations and with the sophisticated self-consistent models recently reported in the literature. © 1997 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 4373-4376 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analytic model for the dynamics of fast ignition is developed for the case in which the particle beam heats the fuel by generating a supersonic heat wave. It shows that the beam energy and intensity required for ignition increase with the particle range R. These results, together with previous ones for the subsonic regime of heating, allow for the determination of an optimum particle range value (R(approximate)0.25 g/cm2). By decreasing the range below this value the ignition energy no longer decreases. © 1998 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 8 (2001), S. 5268-5276 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The influence of the compressibility of the ablating plasma on the Rayleigh–Taylor instability of an ablation front has been analyzed by means of an extension of a previous analytical model. As a result, it is found that the effect of the compressibility is to increase the instability growth rate and to enlarge the range of perturbation wavelengths for which the front is unstable. The magnitude of such effects depends on the values of the Mach and Froude numbers and, for conditions relevant to inertial fusion, the instability may be considerably enhanced. © 2001 American Institute of Physics.
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  • 7
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 1605-1613 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The implosion of a family of reactor-size targets for inertial confinement fusion (ICF) is studied analytically and numerically. The targets consist of a deuterium–tritium (D–T) shell filled with D–T vapor and they are imploded by a multistep pressure pulse designed in such a way that the final hot spot is formed mainly from the initially gaseous fuel. The formation of the hot spot is described by means of a relatively simple model, and scaling laws for the quantities that characterize the state of the initially gaseous part of the fuel prior to ignition are derived. The results of the model are compared with one-dimensional fluid simulations, and good agreement is found. A parametric study of the fuel energy gain is then presented; the dependence of the gain and of the hot spot convergence ratio on the pulse parameters and on the filling gas density is analyzed. It is also shown that a substantial increase in the gain (for a given target and pulse energy) can be achieved by replacing the last step of the pulse with an exponential ramp.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 693-700 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A relatively simple model for the implosion of a strong shock driven by a spherical shell which is ablatively imploded by a laser pulse is presented. The dynamics of the shock and the shell is completely described by three dimensionless parameters containing all the information regarding the laser and the target. The model is applied to recent experiments which produce the highest neutron yield, and a good agreement with simulations and experimental results is found.
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  • 9
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 2889-2897 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analytical model for the implosion of a two-layer spherical shell target driven by a two-step pressure pulse is developed. The process of formation of the central spark is approximately described and the effect of the prepulse on the final stage of fuel and pusher is studied. The size of the central spark is determined by the thermal conduction, and scaling laws relating the temperature and density of the spark with the parameters of the fuel and the pulse are found. These scaling laws can be useful in the design of high-gain targets for inertial confinement fusion.
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  • 10
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 683-692 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A self-similar model for the ablation driven by thermal radiation is developed for the case in which the ablated flow cannot freely expand and it is optically thick to the impinging radiation. The results show that the motion is governed by a dimensionless parameter, which determines the importance of the radiation heat conduction relative to the convective energy flux. The model can be applied to the situation arising in ion beam fusion targets, where a cold pusher is ablated by blackbody radiation emitted by the beam absorber layer that surrounds it and tamps the ablated flow. The scaling laws for the magnitudes of the flow are found and the main differences with free flow ablation are discussed.
    Type of Medium: Electronic Resource
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