### Abstract

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.

Original language | English (US) |
---|---|

Pages (from-to) | 3381-3392 |

Number of pages | 12 |

Journal | Physical Review E |

Volume | 51 |

Issue number | 4 |

DOIs | |

State | Published - 1995 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

*Physical Review E*,

*51*(4), 3381-3392. https://doi.org/10.1103/PhysRevE.51.3381

**Freezing transition of random heteropolymers consisting of an arbitrary set of monomers.** / Pande, Vijay S.; Grosberg, Alexander Yu; Tanaka, Toyoichi.

Research output: Contribution to journal › Article

*Physical Review E*, vol. 51, no. 4, pp. 3381-3392. https://doi.org/10.1103/PhysRevE.51.3381

}

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.

UR - http://www.scopus.com/inward/record.url?scp=4243442727&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243442727&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.51.3381

DO - 10.1103/PhysRevE.51.3381

M3 - Article

VL - 51

SP - 3381

EP - 3392

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 4

ER -