Abstract
The hydrodynamical behavior of one-dimensional asymmetric attractive particle systems is described by a first order non linear hyperbolic partial differential equation. This corresponds to a law of large numbers for the system and it is natural to study the fluctuations. When the density of particles is zero before the shock, we show that the fluctuation field is a solution, in a weak sense, of a linear equation with discontinuous coefficients, namely the linearization of the hydrodynamical equation. The fluctuation of the shock itself, studied in [8], will be our main tool.
Presented by the second author at the Oberwolfach Conference.
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© 1991 Springer Basel AG
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Benassi, A., Fouque, JP. (1991). Fluctuation Field for the Asymmetric Simple Exclusion Process. In: Hornung, U., Kotelenez, P., Papanicolaou, G. (eds) Random Partial Differential Equations. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 102. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6413-8_2
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