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- W2171007598 abstract "We derive here a simplified discrete one-dimensional model describing some important features of shock waves. In order to avoid expensive multidimensional simulations, one-dimensional models are commonly used, but the existing ones often exhibit some spurious physically irrelevant behaviour. Here we build a one-dimensional model with perturbations arising from mean higher-dimensional behaviour. The coupling of the system with a deterministic heat bath in the Kac–Zwanzig fashion allows us to derive a generalized Langevin equation for the system, without a priori fixing the temperature in the shocked region. This deterministic problem with several degrees of freedom is then reduced to a simpler stochastic problem with memory. Some numerical results are provided, which illustrate and confirm the qualitative correctness of the model." @default.
- W2171007598 created "2016-06-24" @default.
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- W2171007598 date "2005-06-10" @default.
- W2171007598 modified "2023-09-27" @default.
- W2171007598 title "Shock waves in an augmented one-dimensional atom chain" @default.
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- W2171007598 doi "https://doi.org/10.1088/0951-7715/18/5/006" @default.
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