Discrete symmetries are commonplace in field theoretical models but pose a severe problem for cosmology since they lead to the formation of domain walls during spontaneous symmetry breaking in the early universe. However if one of the vacuua is favoured over the others, either energetically, or because of initial conditions, it will eventually come to dominate the universe. Using numerical methods, we study the evolution of the domain wall network for a variety of field configurations in two and three dimensions and quantify the rate at which the walls disappear. Good agreement is found with a recent analytic estimate of the termination of the scaling regime of the wall network.Comment: 17 pages (revtex), including 9 figures (epsf); Revised to include test of numerical approximation used; No change in results or conclusions; accepted for publication in Phys Rev D. PostScript available at ftp://ftp.physics.ox.ac.uk/pub/local/users/sarkar/Domainwalls.ps.g

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The spontaneous-fission process for doubly even nuclei with Z -92 is studied in a semiempirical WKB framework. One-dimensional fission barrier potentials are established from theoretical deformation-energy surfaces based on the droplet model and the modifiedoscillator model. The effects of axial asymmetry as well as reQection asymmetry have been taken into account. Macroscopic (irrotational flow) inertial-mass functions and alternatively microscopic (cranking model) inertial mass parameters have been employed for the calculation of the fission half-lives. With one over-all normalization parameter it is possible to fit the experimental half-lives to within a factor of 20 on the average. The resulting effective inertial-mass functions are used to estimate the stability of the transactinide elements. Only minor differences with previous estimates for the r process and superheavy nuclei are encountered. NUCLEAR STRUCTURE Even nuclei with Z~92; calculated sf T&y 2.