2019/10/09 by Alexandre Legrand, Legrand, Alexandre · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #60K05 #60K35 #82D60 #92C05 #DNA and Nucleic Acid Chemistry #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Protein Structure and Dynamics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1910.04116
openalex publication_date 2019/10/09 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
The Poland-Scheraga model is a celebrated model for the denaturation\ntransition of DNA, which has been widely used in the bio-physical literature to\nstudy, and investigated by mathematicians. In the original model, only opposite\nbases of the two strands can be paired together, but a generalized version of\nthis model has recently been introduced, and allows for mismatches in the\npairing of the two strands, and for different strand lengths. This generalized\nPoland-Scheraga (gPS) model has only been studied recently in the case of\nhomogeneous interactions, then with disordered interactions perturbed by an\ni.i.d. field. The present paper considers a disordered version of the gPS model\nwhich is more appropriate to depict the inhomogeneous composition of the two\nstrands (in particular interactions are perturbed in a strongly dependent\nmanner): we study the question of the influence of disorder on the denaturation\ntransition, and our main results provide criteria for disorder (ir)-relevance,\nboth in terms of critical points and of order of the phase transition.\nSurprisingly, we find that criteria for disorder relevance depend on the law of\nthe disorder field. We discuss this with regards to Harris' prediction for\ndisordered systems.\n