Improved bounds for the transition temperature of directed polymers in a finite-dimensional random medium | Zendy

M. R. Evans | Zendy; Bernard Derrida | Zendy

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Improved bounds for the transition temperature of directed polymers in a finite-dimensional random medium

Author(s) -

M. R. Evans,

Bernard Derrida

Publication year - 1992

Publication title -

journal of statistical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.71

H-Index - 115

eISSN - 1572-9613

pISSN - 0022-4715

DOI - 10.1007/bf01053800

Subject(s) - partition function (quantum field theory) , phase transition , lattice (music) , statistical physics , mathematics , polymer , partition (number theory) , combinatorics , physics , condensed matter physics , quantum mechanics , nuclear magnetic resonance , acoustics

We consider the problem of directed polymers in a random medium of a finitedimensional lattice. In the high-temperature phase of this system it is known that the annealed and quenched free energies coincide. Upper bounds on the transition temperature to a low-temperature phase had previously been obtained by calculating the first two moments and 2> of the partition function. We improve these bounds by estimating noninteger moments a> for 1

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