# MEAN FIELD AND MONTE CARLO MODELING OF MULTIBLOCK COPOLYMERS

## Abstract

The authors discuss and apply extensions needed to treat multiblock copolymers within the mean field theoretical framework for microphase separation in diblock copolymer metals, originally due to Leibler. The mean field calculations are complemented by lattice Monte Carlo realizations using the bond fluctuation model. They find that the microphase separation transition occurs at larger {sub {chi}}N as the number of blocks in increased beyond two (i.e., beyond diblock), and that the characteristic length scale of the emerging morphology decreases as the number of blocks increases. The latter prediction is in qualitative agreement with published experimental results due to Sontak and co-workers for model multiblock poly(styrene-isoprene) systems and recent results due to Hjelm and co-workers for a segmented poly(ester-urethane) relevant to Los Alamos interests. Additionally, the mean field predictions and bond fluctuation realizations yield consistent results.

- Authors:

- Publication Date:

- Research Org.:
- Los Alamos National Lab., NM (US)

- Sponsoring Org.:
- US Department of Energy (US)

- OSTI Identifier:
- 773325

- Report Number(s):
- LA-UR-01-91

TRN: AH200121%%8

- DOE Contract Number:
- W-7405-ENG-36

- Resource Type:
- Conference

- Resource Relation:
- Conference: Conference title not supplied, Conference location not supplied, Conference dates not supplied; Other Information: PBD: 1 Jan 2001

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE; COPOLYMERS; MORPHOLOGY; MONTE CARLO METHOD; MATHEMATICAL MODELS; PHASE STUDIES; POLYSTYRENE; POLYISOPRENE; POLYESTERS; POLYURETHANES

### Citation Formats

```
K. RASMUSSEN, and ET AL.
```*MEAN FIELD AND MONTE CARLO MODELING OF MULTIBLOCK COPOLYMERS*. United States: N. p., 2001.
Web.

```
K. RASMUSSEN, & ET AL.
```*MEAN FIELD AND MONTE CARLO MODELING OF MULTIBLOCK COPOLYMERS*. United States.

```
K. RASMUSSEN, and ET AL. Mon .
"MEAN FIELD AND MONTE CARLO MODELING OF MULTIBLOCK COPOLYMERS". United States.
doi:. https://www.osti.gov/servlets/purl/773325.
```

```
@article{osti_773325,
```

title = {MEAN FIELD AND MONTE CARLO MODELING OF MULTIBLOCK COPOLYMERS},

author = {K. RASMUSSEN and ET AL},

abstractNote = {The authors discuss and apply extensions needed to treat multiblock copolymers within the mean field theoretical framework for microphase separation in diblock copolymer metals, originally due to Leibler. The mean field calculations are complemented by lattice Monte Carlo realizations using the bond fluctuation model. They find that the microphase separation transition occurs at larger {sub {chi}}N as the number of blocks in increased beyond two (i.e., beyond diblock), and that the characteristic length scale of the emerging morphology decreases as the number of blocks increases. The latter prediction is in qualitative agreement with published experimental results due to Sontak and co-workers for model multiblock poly(styrene-isoprene) systems and recent results due to Hjelm and co-workers for a segmented poly(ester-urethane) relevant to Los Alamos interests. Additionally, the mean field predictions and bond fluctuation realizations yield consistent results.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Mon Jan 01 00:00:00 EST 2001},

month = {Mon Jan 01 00:00:00 EST 2001}

}