Variation of transport coefficients for average fission dynamics with temperature and shape

Brownian shape dynamics in fission

It was recently shown that remarkably accurate fission-fragment mass distributions are obtained by treating the nuclear shape evolution as a Brownian walk on previously calculated five-dimensional potentialenergy surfaces; the current status of this novel method is described here.

Average shape of transport-limited aggregates.

We study the relation between stochastic and continuous transport-limited growth models. We derive a nonlinear integro-differential equation for the average shape of stochastic aggregates, whose mean-field approximation is the corresponding continuous equation. Focusing on the advection-diffusion-limited aggregation (ADLA) model, we show that the average shape of the stochastic growth is simila...

Transport coefficients for shape degrees in terms of Cassini ovaloids ∗

Previous computations of the potential landscape with the shapes parameterized in terms of Cassini ovaloids are extended to collective dynamics at finite excitations. Taking fission as the most demanding example of large scale collective motion, transport coefficients are evaluated along a fission path. We concentrate on those for average motion, namely stiffness C, friction γ and inertia M. Th...

On the Navier-stokes Equations with Temperature-dependent Transport Coefficients

1D compressible flow with temperature dependent transport coefficients

We establish existence of global-in-time weak solutions to the one dimensional, compressible Navier-Stokes system for a viscous and heat conducting ideal polytropic gas (pressure p = Kθ/τ , internal energy e = cvθ), when the viscosity μ is constant and the heat conductivity κ depends on the temperature θ according to κ(θ) = κ̄θ , with 0 ≤ β < 3 2 . This choice of degenerate transport coefficient...