High-low pressure domain wall for the classical Toda lattice
نویسندگان
چکیده
We study the classical Toda lattice with domain wall initial conditions, for which left and right half are in thermal equilibrium but distinct parameters of pressure, mean velocity, temperature. In hydrodynamic regime respective space-time profiles scale ballisticly. The particular case interest is a jump from low to high pressure at uniform temperature zero velocity. Thereby scaling function average stretch (also free volume) forced change sign. By direct inspection, equations seem be singular stretch. our contribution we report on numerical solutions convincingly establish that nevertheless self-similar solution exhibits smooth behavior.
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ژورنال
عنوان ژورنال: SciPost physics core
سال: 2022
ISSN: ['2666-9366']
DOI: https://doi.org/10.21468/scipostphyscore.5.1.002