Blast Waves in the Zero Temperature Hard Sphere Gas: Double Scaling Structure
نویسندگان
چکیده
We study the blast generated by sudden localized release of energy in a cold gas. Specifically, we consider one-dimensional hard-rod gas and two-dimensional hard disc For this problem, Taylor–von Neumann–Sedov (TvNS) solution Euler equations has self-similar form. The shock wave remains infinitely strong for zero-temperature gas, so applies indefinitely. TvNS ignores dissipation, however. show that is erroneous core region which, two dimensions, expands as $$t^{2/5}$$ while propagates $$t^{1/2}$$ . A new depending on scaling variable $$r/t^{2/5}$$ describes core, bulk. demonstrate from numerical Navier–Stokes (NS) molecular dynamics simulations discs dimensions rods one dimension. In both cases, front position predicted NS agrees with simulations. However, fail to describe near-core form functions.
منابع مشابه
The Boundary Structure of Zero-temperature Driven Hard Spheres
We study the fundamental problem of two gas species whose molecules collide as hard spheres in the presence of a flat boundary and with dependence on only one space dimension. More specifically the steady linear problem considered is the one arising when the second gas dominates as a flow moving towards the boundary with constant microscopic velocity (and hence zero temperature). The boundary c...
متن کاملCollisional statistics of the hard-sphere gas.
We investigate the probability distribution functions of the free flight time and of the number of collisions in a hard-sphere gas at equilibrium. At variance with naive expectation, the latter quantity does not follow Poissonian statistics, even in the dilute limit, which is the focus of the present analysis. The corresponding deviations are addressed both numerically and analytically. In writ...
متن کاملThe Onset of Chaos in the Quantum Hard-Sphere Gas
We show that the condition for the appearance of quantum chaos (Wigner-Dyson distribution of energy eigenvalues, gaussian-random energy eigenfunctions) in a dilute gas of many hard spheres is λ ≪ l, where λ is the wavelength of a typical particle and l is the mean free path between collisions. For fermions with Fermi wavelength λF ≪ l, this implies that all energy eigenstates, including the gro...
متن کاملStructure of the hard sphere solid.
We show that near densest packing the perturbations of the hexagonal close packed (hcp) structure yield higher entropy than perturbations of any other densest packing. The difference between the various structures shows up in the correlations between motions of nearest neighbors. In the hcp structure random motion of each sphere impinges slightly less on the motion of its nearest neighbors than...
متن کاملUniversality in the Three-Dimensional Hard- Sphere Lattice Gas
We perform Monte Carlo simulations of the hard-sphere lattice gas on the body-centred cubic lattice with nearest neighbour exclusion. We get the critical exponents, β/ν = 0.311(8) and γ/ν = 2.38(2), where β, γ, and ν are the critical exponents of the staggered density, the staggered compressibility, and the correlation length, respectively. The values of the hard-sphere lattice gas on the simpl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2023
ISSN: ['0022-4715', '1572-9613']
DOI: https://doi.org/10.1007/s10955-023-03127-1