Zero Temperature Properties of RNA Secondary Structures
arXiv:cond-mat/0111172 · doi:10.1103/PhysRevE.65.041919
Abstract
We analyze different microscopic RNA models at zero temperature. We discuss both the most simple model, that suffers a large degeneracy of the ground state, and models in which the degeneracy has been remove, in a more or less severe manner. We calculate low-energy density of states using a coupling perturbing method, where the ground state of a modified Hamiltonian, that repels the original ground state, is determined. We evaluate scaling exponents starting from measurements of overlaps and energy differences. In the case of models without accidental degeneracy of the ground state we are able to clearly establish the existence of a glassy phase with .
20 pages including 9 eps figures
References in corpus (1)
Cited by in corpus (19)
- Thermodynamic and kinetic aspects of RNA pulling experiments
- Statistical Physics of RNA-folding
- Scaling and Universality in Continuous Length Combinatorial Optimization
- The Freezing of Random RNA
- Near optimal configurations in mean field disordered systems
- Universality class of replica symmetry breaking, scaling behavior, and the low-temperature fixed-point order function of the Sherrington-Kirkpatrick model
- RNA secondary structure design
- Quantification of the differences between quenched and annealed averaging for RNA secondary structures
- Ground state and glass transition of the RNA secondary structure
- Random Euclidean matching problems in one dimension
- Dependence of RNA secondary structure on the energy model
- Model for Folding and Aggregation in RNA Secondary Structures
- The Dyck bound in the concave 1-dimensional random assignment model
- Anomalous scaling in nanopore translocation of structured heteropolymers
- Freezing transition of the random bond RNA model: statistical properties of the pairing weights
- RNAlike polymer model: exact calculation on the Bethe lattice
- On the behavior of random RNA secondary structures near the glass transition
- New phase transition in random planar diagrams and RNA-type matching
- Small Coupling Expansion for Multiple Sequence Alignment