Dynamics of unbinding of polymers in a random medium

  title={Dynamics of unbinding of polymers in a random medium},
  author={Somendra M Bhattacharjee and A. Baumgārtner},
  journal={Journal of Chemical Physics},
We have studied the aging effect on the dynamics of unbinding of a double stranded directed polymer in a random medium. By using the Monte Carlo dynamics of a lattice model in two dimensions, for which disorder is known to be relevant, the unbinding dynamics is studied by allowing the bound polymer to relax in the random medium for a waiting time and then allowing the two strands to unbind. The subsequent dynamics is formulated in terms of the overlap of the two strands and also the overlap of… 
4 Citations

Figures from this paper

Non-equilibrium dynamics of disordered systems: renormalization flow towards an ‘infinite disorder’ fixed point at large times
To describe the non-equilibrium dynamics of random systems, we have recently introduced (Monthus and Garel, 2008 J. Phys. A: Math. Theor. 41 255002) a 'strong disorder renormalization' (RG) procedure
Non-equilibrium dynamics of polymers and interfaces in random media: conjecture ψ = ds/2 for the barrier exponent
We consider various random models (directed polymer, random ferromagnets, spin glasses) in their disorder-dominated phases, where the free-energy cost F(L) of an excitation of length L presents
An eigenvalue method for computing the largest relaxation time of disordered systems
We consider the dynamics of finite size disordered systems as defined by a master equation satisfying detailed balance. The master equation can be mapped onto a Schrodinger equation in configuration


Off-equilibrium dynamics of a (1 + 1)-dimensional directed polymer in random media
The relaxational dynamics of a (1 + 1)-dimensional directed polymer in random potential is studied by Monte Carlo simulations. A series of temperature quench experiments is performed changing waiting
On the glassy nature of random directed polymers in two dimensions
We study numerically directed polymers in a random potential in 1 + 1 dimensions. We introduce two copies of the polymer, coupled through a thermodynamic local interaction. We show that the system is
Aging in disordered systems
Walks, walls, wetting, and melting
New results concerning the statistics of, in particular,p random walkers on a line whose paths do not cross are reported, extended, and interpreted. A general mechanism yielding phase transitions in
Statistical mechanics of a nonlinear model for DNA denaturation.
The statistical mechanics of a simple lattice model for the denaturation of the DNA double helix are investigated and it is shown that amechanism involving an energy localization analogous to self-focusing mayinitiate the Denaturation.
Directed polymers with random interaction: Marginal relevance and novel criticality.
We show by an exact renormalization-group approach that a random two-chain interaction for (d+1)-dimensional directed polymers is marginally relevant at d=1. There is a critical point for d>1
Infinite number of exponents for a spin-glass transition.
It is shown that an infinite number of exponents is required to describe these overlaps of m(g~2) paths at the spin-glass transition for a directed polymer in a random medium in an $\ensuremath{\epsilon}=d\ensure Math{-}2$ expansion without using the replica trick.
Formation of Glasses from Liquids and Biopolymers
The onset of a sharp change in ddT( is the Debye-Waller factor and T is temperature) in proteins, which is controversially indentified with the glass transition in liquids, is shown to be general for glass formers and observable in computer simulations of strong and fragile ionic liquids, where it proves to be close to the experimental glass transition temperature.