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Self-averaging sequences in the statistical mechanics of random copolymers

E J Janse van Rensburg1, A Rechnitzer1, M S Causo2 and S G Whittington3

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A constructive proof is given that certain problems in the statistical mechanics of random copolymers are thermodynamically self-averaging. The proof relies on the use of normal numbers, and potentially gives a method for calculating expectations in the quenched averaged ensemble. In particular, we give a new proof that adsorbing random copolymers are self-averaging.


PACS

82.35.Jk Copolymers, phase transitions, structure

02.30.Lt Sequences, series, and summability

05.70.-a Thermodynamics

36.20.Fz Constitution (chains and sequences)

MSC

11Bxx Sequences and sets

82B30 Statistical thermodynamics (See also 80-XX)

82D60 Polymers

Subjects

Atomic and molecular physics

Soft matter, liquids and polymers

Mathematical physics

Statistical physics and nonlinear systems

Chemical physics and physical chemistry

Dates

Issue 33 (24 August 2001)

Received 29 May 2001

Published 10 August 2001



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