English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we address the relationship between zero temperature Glauberdynamics and the diffusion-annihilation problem in the free fermion case. Weshow that the well-known duality transformation between the two problems can beformulated as a similarity transformation if one uses appropriate (toroidal)boundary conditions. This allow us to establish and clarify the precise natureof the relationship between the two models. In this way we obtain a one-to-onecorrespondence between observables and initial states in the two problems. Arandom initial state in Glauber dynamics is related to a short range correlatedstate in the annihilation problem. In particular the long-time behaviour of thedensity in this state is seen to depend on the initial conditions. Hence, weshow that the presence of correlations in the initial state determine thedependence of the long time behaviour of the density on the initial conditions,even if such correlations are short-ranged. We also apply a field-theoreticalmethod to the calculation of multi-time correlation functions in this initialstate.Comment: 15 pages, Latex file, no figures. To be published in J. Phys. A.  Minor changes were made to the previous version to conform with the referee's  Repor

The duality relation between Glauber dynamics and the diffusion - annihilation model as a similarity transformation