Can I read Universality in One-dimensional Hierarchical Coalescence Processes on EtoBox?

Universality in One-dimensional Hierarchical Coalescence Processes by Faggionato, Alessandra; Martinelli, Fabio; Roberto, Cyril; Toninelli, Cristina is a scholarly article available to read on EtoBox.

What is Universality in One-dimensional Hierarchical Coalescence Processes about?

Motivated by several models introduced in the physics literature to study the nonequilibrium coarsening dynamics of one-dimensional systems, we consider a large class of "hierarchical coalescence processes" (HCP). An HCP consists of an infinite sequence of coalescence processes ${\xi^{(n)}(\cdot)}_{n\ge1}$: each process occurs in a different "epoch" (indexed by $n$) and evolves for an infinite time, while the evolution in subsequent epochs are linked in such a way that the initial distribution of $\xi^{(n+1)}$ coincides with the final distribution of $\xi^{(n)}$. Inside each epoch the process, described by a suitable simple point process representing the boundaries between adjacent intervals (domains), evolves as follows. Only intervals whose length belongs to a certain epoch-dependent finite range are active, that is, they can incorporate their left or right neighboring interval with quite general rates. Inactive intervals cannot incorporate their neighbors and can increase their length only if they are incorporated by active neighbors. The activity ranges are such that after a merging step the newly produced interval always becomes inactive for that epoch but active for some futu

Author

Faggionato, Alessandra; Martinelli, Fabio; Roberto, Cyril; Toninelli, Cristina

Published

2010

Language

EN