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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Subject of this work are the applications of a field theoretical model,called here generalized nonlinear sigma model or simply GNLSM,to the dynamicsof a chain subjected to constraints. Chains with similar properties andconstraints have been discussed in a seminal paper of Edwards and Goodyearusing an approach based on the Langevin equation. The GNLSM has been proposedin a previous publication in order to describe the dynamics of a twodimensional chain. In this paper the model is extended to d dimensions and abending energy term is added to its action. As an application, two observablesare computed in the case of a very stiff chain. The first observable is thedynamical form factor of a ring shaped chain. The second observable is astraightforward generalization to dynamics of the static form factor. Thisobservable is relevant in order to estimate the average distance between twoarbitrary points of the chain. Finally, a variant of the GNLNM is presented, inwhich the topological conditions which constrain the motion of two linkedchains are imposed with the help of the Gauss linking invariant.

Applications of a generalization of the nonlinear sigma model with O(d) group of symmetry to the dynamics of a constrained chain