Erratum: ”Spatial displacement correlations in polymeric systems” [J. Chem. Phys. 136, 164901
(2012)]
F. Puosi
Dipartimento di Fisica “Enrico Fermi”, Universit`a di Pisa, Largo B.Pontecorvo 3, I-56127 Pisa, Italy D. Leporini∗
Dipartimento di Fisica “Enrico Fermi”, Universit`a di Pisa, Largo B.Pontecorvo 3, I-56127 Pisa, Italy and IPCF-CNR, UOS Pisa, Italy
(Dated: June 14, 2013) PACS numbers:
Keywords:
The displacement-displacement correlation functions discussed in the paper are:
C~u(r, t) = hˆui(t0, t) · ˆuj(t0, t)i,
Cδu(r, t) = hδui(t0, t)δuj(t0, t)i/h[δu(t0, t)] 2
i.
An average over all thei-th and j-th monomers spaced by r is understood. ˆuk(t0, t) is the versor of the displacement vector of
k-th monomer in a time interval fromt0tot0+ t, uk(t0, t) = rk(t0+ t) − rk(t0), and δuk(t0, t) = |uk(t0, t)| − h|u(t0, t)|i.
The explicit expressions ofC~u(r, t) and Cδu(r, t) provided by Eq.4 and Eq.5, respectively, are wrong. The correct expressions
replace the quantityNi(r, t0) ≡
PN
j=1δ(r − |rij(t0)|), i.e. the number of monomers at distance r from the i-th one at time t0,
with its average value over all theN monomers:
N (r, t0) = 1 N N X i=1 Ni(r, t0)
All the reported results are drawn by the correct expressions of the correlation functions.
