Electrostress Diffusion Coupling Model for Polyelectrolyte Gels. Volume 38, Number 4, February 22,...
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CORRECTIONS Tatsuya Yamaue,* Hiroto Mukai, Kinji Asaka, and Masao Doi: Electrostress Diffusion Coupling Model for Polyelectrolyte Gels. Volume 38, Number 4, February 22, 2005, pp 1349-1356. The following equations should appear as follows: On p 1352, right side, lines 12-13, the sentence should read: For typical swollen polyelectrolyte gel of fluorocarbon, we can take φ p ∼ 0.5, Œ b ∼ 1.0 [nm], and c i ∼ 1.0/z [mol/L]. On p 1352, right side, lines 42-43, the sentence should read: For φ p and c i , we use the value φ p ∼ 0.7 and c i ∼ 1.0/z [mol/L], which are reported in ref 15. f (x,t) ≡∇u(r,t) is modifed to f (x,t) ≡∇‚u(r,t). In the caption of Figure 7, τ relax /τ relax ,H + is modified to τ relax /τ relax,H + . MA051343Q 10.1021/ma051343q Published on Web 07/16/2005 j s )-κ∇p - λ∇ψ (2) ∇‚j e ) 0 (9) ∇·(c p w p v p + c s w s v s + ∑ i c i w i v i ) ) 0 (10) ∇‚(σ - pI) ) 0 (11) λ p )- q p œ p (1 - φ p ) (19) λ i ) ∑ i c i q i w i œ i (20) (σ - pI)‚n ) f bc for a deformable boundary (21) (σ - (k B T ∑ i c i + p)I)·n ) f bc (23) (σ - (k B T ∑ i [[c i ]] + [[p]])I)·n ) 0 (24) j s ‚n ) 0 for an impermeable wall (26) j s ‚n ) κ b [[p]] (27) j e ‚n ) Φ ˙ /C (29) œ p ) 6πη Œ b 2 c p (31) u y ) xy R(t) . (39) u z ) xz R(t) (40) f (x,t) ) ∂u x ∂x + 2x R(t) (41) p(x,t) ) σ xx (x,t) (45) D′ ) ( κ - λ 2 σ e 29( K + 4 3 G 29 (52) 7528 Macromolecules 2005, 38, 7528
Transcript of Electrostress Diffusion Coupling Model for Polyelectrolyte Gels. Volume 38, Number 4, February 22,...
CORRECTIONS
Tatsuya Yamaue,* Hiroto Mukai, Kinji Asaka, andMasao Doi: Electrostress Diffusion Coupling Model forPolyelectrolyte Gels. Volume 38, Number 4, February22, 2005, pp 1349-1356.
The following equations should appear as follows:
On p 1352, right side, lines 12-13, the sentenceshould read: For typical swollen polyelectrolyte gel offluorocarbon, we can take φp ∼ 0.5, êb ∼ 1.0 [nm], andci ∼ 1.0/z [mol/L].
On p 1352, right side, lines 42-43, the sentenceshould read: For φp and ci, we use the value φp ∼ 0.7and ci ∼ 1.0/z [mol/L], which are reported in ref 15.
f (x,t) ≡ ∇u(r,t) is modifed to f (x,t) ≡ ∇‚u(r,t).In the caption of Figure 7, τrelax/τrelax, H+ is modified
to τrelax/τrelax,H+.
MA051343Q
10.1021/ma051343qPublished on Web 07/16/2005
js ) -κ∇p - λ∇ψ (2)
∇‚je ) 0 (9)
∇·(cpwpvp + cswsvs + ∑i
ciwivi) ) 0 (10)
∇‚(σ - pI) ) 0 (11)
λp ) -qp
úp(1 - φp) (19)
λi ) ∑i
ciqiwi
úi
(20)
(σ - pI)‚n ) fbc for a deformable boundary (21)
(σ - (kBT∑i
ci + p)I)·n ) fbc (23)
(σ - (kBT∑i
[[ci]] + [[p]])I)·n ) 0 (24)
js‚n ) 0 for an impermeable wall (26)
js‚n ) κb[[p]] (27)
je‚n ) Φ̇/C (29)
úp ) 6πηêb
2cp
(31)
uy ) xyR(t)
. (39)
uz ) xzR(t)
(40)
f (x,t) )∂ux
∂x+ 2x
R(t)(41)
p(x,t) ) σxx(x,t) (45)
D′ ) (κ - λ2
σe)(K + 4
3G) (52)
7528 Macromolecules 2005, 38, 7528
