Аннотация
We simulate the multiphase ISM randomly heated and stirred by supernovae,
with gravity, differential rotation and other parameters of the solar
neighbourhood. Here we describe in detail both numerical and physical aspects
of the model, including injection of thermal and kinetic energy by SN
explosions, radiative cooling, photoelectric heating and various transport
processes. With a three dimensional domain extending 1x1kpc^2 horizontally and
2kpc vertically, the model routinely spans gas number densities
10^-5-10^2cm^-3, temperatures 10-10^8K, local velocities up to 10^3kms^-1 (with
Mach numbers to 25). The working numerical resolution of 4pc has been selected
via simulations of a single expanding SN remnant, where we closely reproduce,
at this resolution, analytical solutions for the adiabatic and snowplough
regimes. The thermal structure of the modelled ISM is classified using the
altitude variation of the fractional volumes occupied by gas in relatively
narrow temperature bands. We confirm that most of the complexity can be
captured in terms of just three phases, separated by temperature borderlines at
about 10^3K and 5x10^5K. The distribution of gas densities within each phase is
approximately lognormal. We clarify the connection between the fractional
volume of a phase and its various proxies, and derive an exact relation between
the fractional volume and the filling factors defined in terms of the volume
and probabilistic averages. These results are discussed in both observational
and computational contexts. The correlation scale of the random flows is
calculated from the velocity autocorrelation function; it is of order 100pc and
tends to grow with distance from the midplane. We use two distinct
parameterizations of radiative cooling to show that the multiphase structure of
the gas is robust, as it does not depend significantly on this choice.
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