Proposed sets of critical exponents for randomly branched polymers, using a known string theory model. (2nd June 2016)

• Record Type: Journal Article
• Authors: March, N.H.; Moreno, A.J.
• Is Part Of: Phase transitions. Volume 89:Number 6(2016)
• Page Start: 543
• Page End: 546
• Publication Date: 2016-06-02
• Subjects: critical exponent -- branched polymers -- lattice animals -- string theory; Phase transformations (Statistical physics) -- Periodicals; 530.47405
• DOI: 10.1080/01411594.2015.1072768
• Languages: English
• ISSNs: 0141-1594

Abstract

Abstract : The critical exponent ν for randomly branched polymers with dimensionality d equal to 3, is known exactly as 1/2. Here, we invoke an already available string theory model to predict the remaining static critical exponents. Utilizing results of Hsu et al. (Comput Phys Commun. 2005;169:114–116), results are added for d = 8. Experiment plus simulation would now be important to confirm, or if necessary to refine, the proposed values.