Modelling of a single polymer Modelling of a single polymer chain in the solution. chain in the solution. Modification of the SAW method. Modification of the SAW method. Alan Rudzki and Waldemar Nowicki Logo SURUZ Logo SURUZ
Jan 07, 2016
Modelling of a single polymer chain in the Modelling of a single polymer chain in the solution.solution.
Modification of the SAW method.Modification of the SAW method.
Alan Rudzki and Waldemar Nowicki
Logo SURUZLogo SURUZ
Schematic representation of a (112) movement
What is the Flory`s exponent ν ???
• ν- is the universal scaling exponent • ν = 0,6 – athermal solution • ν = 0,5 – ideal (RW) or θ solution• ν = 0,33 – globular structure
6
gR
g
hR
h
NbR
NbR
R
g
Rh
Ideal solution
• Molecule interactions are neglect
• There is no excluded volume effect
0
0
)ln(
V
H
xnRS
mix
mix
JJJ
mix
Ideal solution(112) RW Nmax=1001
Θ solution
• solution, which is in Flory`s temperature
• the interactions:
polymer-polymer = polymer-solvent
0
0
ln JJ
STH
V
xnRS
mix
mix
J
mix
Θ solution(112) SAW Nmax=1001
Athermal solution
• the interactions:
polymer-polymer < polymer-solvent
0
0
ln JJ
HU
V
xnRS
mixmix
mix
Jmix
Athermal solution(112) SRSAW2 and (112) SRSAW3
Nmax=1001
(112)SRSAW2 (112)SRSAW3
Blocking method
Results
0 2 4 60
2
4
ln(Rh)
ln(N)
(112)SAW (112)SRSAW3
0 2 40
2
4
ln(Rh)
ln(N)
(112)SAW (112)SRSAW3
N=1001N=1001 N=101N=101
υRr Method N=1001 N=101
(112)SAW 0,51 0,51 (112)SRSAW3 0,55 0,62
• Static monte carlo metod development
• Modelling of wide spectrum of solution properties
• Modelling of solvation effect
ADVANCES OF MODIFIED SAW METHOD:
Thank you for attention