Unified paradigm for interface dynamics
Abstract
In this paper we develop a common theoretical framework for the dynamics of thin featureless interfaces. We explicitly demonstrate that the same phase field and velocity dependent onescale models characterizing the dynamics of relativistic domain walls, in a cosmological context, can also successfully describe, in a friction dominated regime, the dynamics of nonrelativistic interfaces in a wide variety of material systems. We further show that a statistical version of the von Neumann’s law applies in the case of scaling relativistic interface networks, implying that, although relativistic and nonrelativistic interfaces have very different dynamics, a single simulation snapshot is not able to clearly distinguish the two regimes. We highlight that crucial information is contained in the probability distribution function for the number of edges of domains bounded by the interface network and explain why laboratory tests with nonrelativistic interfaces can be used to rule out cosmological domain walls as a significant dark energy source.
 Publication:

Physical Review E
 Pub Date:
 January 2011
 DOI:
 10.1103/PhysRevE.83.011602
 arXiv:
 arXiv:1006.3564
 Bibcode:
 2011PhRvE..83a1602A
 Keywords:

 81.15.Aa;
 98.80.Cq;
 82.70.Rr;
 89.75.Kd;
 Theory and models of film growth;
 Particletheory and fieldtheory models of the early Universe;
 Aerosols and foams;
 Patterns;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 Condensed Matter  Materials Science;
 Condensed Matter  Soft Condensed Matter;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 5 pages, 3 figures