TY - JOUR
T1 - Freezing transition of random heteropolymers consisting of an arbitrary set of monomers
AU - Pande, Vijay S.
AU - Grosberg, Alexander Yu
AU - Tanaka, Toyoichi
PY - 1995
Y1 - 1995
N2 - Mean field replica theory is employed to analyze the freezing transition of random heteropolymers comprised of an arbitrary number (q) of types of monomers. Our formalism assumes that interactions are short range and heterogeneity comes only from pairwise interactions, which are defined by an arbitrary q×q matrix. We show that, in general, there exists a freezing transition from a random globule, in which the thermodynamic equilibrium is comprised of an essentially infinite number polymer conformations, to a frozen globule, in which equilibrium ensemble is dominated by one or very few conformations. We also examine some special cases of interaction matrices to analyze the relationship between the freezing transition and the nature of the interactions involved.
AB - Mean field replica theory is employed to analyze the freezing transition of random heteropolymers comprised of an arbitrary number (q) of types of monomers. Our formalism assumes that interactions are short range and heterogeneity comes only from pairwise interactions, which are defined by an arbitrary q×q matrix. We show that, in general, there exists a freezing transition from a random globule, in which the thermodynamic equilibrium is comprised of an essentially infinite number polymer conformations, to a frozen globule, in which equilibrium ensemble is dominated by one or very few conformations. We also examine some special cases of interaction matrices to analyze the relationship between the freezing transition and the nature of the interactions involved.
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U2 - 10.1103/PhysRevE.51.3381
DO - 10.1103/PhysRevE.51.3381
M3 - Article
AN - SCOPUS:4243442727
VL - 51
SP - 3381
EP - 3392
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 4
ER -