-
4
-
-
77952010302
-
-
note
-
1/p} = N
-
-
-
-
5
-
-
5544291458
-
-
10.1088/0953-8984/2/33/001 1990JPCM.2.6869C
-
M. Cates S. Candau 1990 J. Phys.: Condens. Matter 2 6869 10.1088/0953-8984/2/33/001 1990JPCM....2.6869C
-
(1990)
J. Phys.: Condens. Matter
, vol.2
, pp. 6869
-
-
Cates, M.1
Candau, S.2
-
6
-
-
0001557223
-
Dynamical Monte Carlo study of equilibrium polymers: Static properties
-
DOI 10.1063/1.476623, PII S0021960698515267
-
J.P. Wittmer A. Milchev M.E. Cates 1998 J. Chem. Phys. 109 834 10.1063/1.476623 1998JChPh.109..834W (Pubitemid 128678021)
-
(1998)
Journal of Chemical Physics
, vol.109
, Issue.2
, pp. 834-845
-
-
Wittmer, J.P.1
Milchev, A.2
Cates, M.E.3
-
7
-
-
77952010135
-
-
note
-
N N ρN. All contributions to the chemical potential of the chain μchain which are linear in N can be adsorbed within the Lagrange multiplier. The scission energy E characterizes the enthalpic free-energy cost for breaking a chain bond. The most crucial last term encodes the remaining non-linear contribution δμchain(N) to the chemical potential μchain which has to be paid for creating two new chain ends. A rigorously Flory-distributed length distribution implies thus δμchain(N) = const.
-
-
-
-
9
-
-
49349138482
-
-
10.1016/0032-3950(77)90361-6
-
I. Yerukhimovich 1977 Polym. Sci. USSR 19 2743 10.1016/0032-3950(77) 90361-6
-
(1977)
Polym. Sci. USSR
, vol.19
, pp. 2743
-
-
Yerukhimovich, I.1
-
11
-
-
17444415942
-
-
10.1103/PhysRevLett.93.147801 2004PhRvL.93n7801W
-
J.P. Wittmer H. Meyer J. Baschnagel A. Johner S.P. Obukhov L. Mattioni M. Müller A.N. Semenov 2004 Phys. Rev. Lett. 93 147801 10.1103/PhysRevLett. 93.147801 2004PhRvL..93n7801W
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 147801
-
-
Wittmer, J.P.1
Meyer, H.2
Baschnagel, J.3
Johner, A.4
Obukhov, S.P.5
Mattioni, L.6
Müller, M.7
Semenov, A.N.8
-
14
-
-
34547156521
-
Intramolecular long-range correlations in polymer melts: The segmental size distribution and its moments
-
DOI 10.1103/PhysRevE.76.011803
-
J.P. Wittmer P. Beckrich H. Meyer A. Cavallo A. Johner J. Baschnagel 2007 Phys. Rev. E 76 011803 10.1103/PhysRevE.76.011803 2007PhRvE..76a1803W (Pubitemid 47115685)
-
(2007)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.76
, Issue.1
, pp. 011803
-
-
Wittmer, J.P.1
Beckrich, P.2
Meyer, H.3
Cavallo, A.4
Johner, A.5
Baschnagel, J.6
-
20
-
-
34250639071
-
Are polymer melts "ideal"?
-
DOI 10.1016/j.cpc.2007.02.032, PII S0010465507000914
-
J.P. Wittmer P. Beckrich F. Crevel C.C. Huang A. Cavallo T. Kreer H. Meyer 2007 Comput. Phys. Commun. 177 146 10.1016/j.cpc.2007.02.032 2007CoPhC.177..146W (Pubitemid 46935640)
-
(2007)
Computer Physics Communications
, vol.177
, pp. 146-149
-
-
Wittmer, J.P.1
Beckrich, P.2
Crevel, F.3
Huang, C.C.4
Cavallo, A.5
Kreer, T.6
Meyer, H.7
-
21
-
-
0024071054
-
-
10.1021/ma00187a030 1988MaMol.21.2819C
-
I. Carmesin K. Kremer 1988 Macromolecules 21 2819 10.1021/ma00187a030 1988MaMol..21.2819C
-
(1988)
Macromolecules
, vol.21
, pp. 2819
-
-
Carmesin, I.1
Kremer, K.2
-
22
-
-
18744369036
-
Fluctuation-induced long-range interactions in polymer systems
-
DOI 10.1088/0953-8984/17/20/007, PII S0953898405974924
-
A.N. Semenov S.P. Obukhov 2005 J. Phys.: Condens. Matter 17 1747 10.1088/0953-8984/17/20/007 2005JPCM...17S1747S (Pubitemid 40666545)
-
(2005)
Journal of Physics Condensed Matter
, vol.17
, Issue.20
-
-
Semenov, A.N.1
Obukhov, S.P.2
-
24
-
-
77952008824
-
-
note
-
Strictly speaking, we refer here and below to the compressibility of asymptotically long chains or, equivalently, to the excess contribution gex of the compressibility given by 1/gex(ρ) = 1/g(ρ,N) - 1/N GHF95,WCK09. The difference is irrelevant for the large chains described in this paper.
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-
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-
25
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77952010502
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note
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The chemical potential of a chain does depend on the length distribution of the melt, eq. (28). For infinite macroscopically homogeneous systems it is independent, however, of whether this distribution is annealed or quenched, i.e. if it is allowed to fluctuate or not. This follows from the well-known behavior of fluctuations of extensive parameters in macroscopic systems: the relative fluctuations vanish as 1/√ as the total volume V → ∞. The latter limit is taken first in our calculations, i.e. we consider an infinite number of (annealed or quenched) chains. The large-N limit is then taken afterwards to increase the range of the scale-free effective interaction potential, eq. (16)
-
-
-
-
28
-
-
36449005486
-
-
10.1063/1.466937 1994JChPh.100.719M
-
M. Müller W. Paul 1994 J. Chem. Phys. 100 719 10.1063/1.466937 1994JChPh.100..719M
-
(1994)
J. Chem. Phys.
, vol.100
, pp. 719
-
-
Müller, M.1
Paul, W.2
-
29
-
-
18644371834
-
-
10.1063/1.459901 1991JChPh.94.2294D
-
H. Deutsch K. Binder 1991 J. Chem. Phys. 94 2294 10.1063/1.459901 1991JChPh..94.2294D
-
(1991)
J. Chem. Phys.
, vol.94
, pp. 2294
-
-
Deutsch, H.1
Binder, K.2
-
30
-
-
34047213586
-
Reaction kinetics of coarse-grained equilibrium polymers: A Brownian Study, in Computer Simulations in Condensed Matter: From Materials to Chemical Biology
-
C.C. Huang, H. Xu, F. Crevel, J. Wittmer, J.P. Ryckaert, Reaction kinetics of coarse-grained equilibrium polymers: a Brownian Study, in Computer Simulations in Condensed Matter: from Materials to Chemical Biology, Springer Lect. Notes Phys. 704, 379 (2006)
-
(2006)
Springer Lect. Notes Phys.
, vol.704
, pp. 379
-
-
Huang, C.C.1
Xu, H.2
Crevel, F.3
Wittmer, J.4
Ryckaert, J.P.5
-
31
-
-
40549114646
-
Long-range correlations in a polymer chain due to its connectivity
-
DOI 10.1021/ma071443r
-
D. Shirvanyants S. Panyukov Q. Liao M. Rubinstein 2008 Macromolecules 1 1475 10.1021/ma071443r 2008MaMol..41.1475S (Pubitemid 351363153)
-
(2008)
Macromolecules
, vol.41
, Issue.4
, pp. 1475-1485
-
-
Shirvanyants, D.1
Panyukov, S.2
Liao, Q.3
Rubinstein, M.4
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