Eur. Phys. J. E 5, 539-550 (2001)
Solvable lattice gas models of random heteropolymers at finite density: II. Dynamics and transitions to compact states
H. Chakravorty, J. van Mourik and A.C.C. CoolenDepartment of Mathematics, King's College London, The Strand, London WC2R 2LS, UK hirak@mth.kcl.ac.uk
(Received 15 March 2001 and Received in final form 24 June 2001)
Abstract
In this paper we analyse both the dynamics and the high density physics of
the infinite dimensional lattice gas model for random heteropolymers
recently introduced in [CITE]. Restricting ourselves to site-disordered
heteropolymers, we derive exact closed deterministic evolution equations for a
suitable set of dynamic order parameters (in the thermodynamic limit),
and use these to study the dynamics of the system for different choices of the
monomer polarity parameters. We also study the equilibrium properties of the
system in the high density limit, which leads to a phase diagram exhibiting
transitions between swollen states, compact states, and regions with partial
compactification. Our results find excellent verification in numerical simulations,
and have a natural and appealing interpretation in terms of real heteropolymers.
61.41.+e - Polymers, elastomers and plastics.
75.10.Nr - Spin-glass and other random models.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2001
