# Transport theory of deeply-inelastic heavy-ion collisions based on a random-matrix model II. Study of a one-dimensional model

## Abstract

Typical features of the transport equation derived in a previous paper are studied in the frame of a one-dimensional model. The optical-model Green's function is constructed, and the mean free path is evaluated numerically. The domain of validity of the semiclassical approximation to the transport equation is evaluated, the significance of conserving approximations is pointed out. For strong absorption (short mean free path) it is shown that quantum fluctuations caused by the uncertainty principle are important. Approximation methods are introduced and tested numerically.

- Authors:

- Publication Date:

- Research Org.:
- Max Planck Institut fuer Kernphysik, Heidelberg, West Germany

- OSTI Identifier:
- 6245019

- Resource Type:
- Journal Article

- Journal Name:
- Ann. Phys. (N.Y.); (United States)

- Additional Journal Information:
- Journal Volume: 117:2

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DEEP INELASTIC HEAVY ION REACTIONS; ONE-DIMENSIONAL CALCULATIONS; OPTICAL MODELS; GREEN FUNCTION; COMPOUND-NUCLEUS REACTIONS; DISPERSION RELATIONS; FLUCTUATIONS; FOKKER-PLANCK EQUATION; MEAN FREE PATH; NUCLEAR REACTION KINETICS; SEMICLASSICAL APPROXIMATION; STRONG-COUPLING MODEL; TRANSPORT THEORY; WEAK-COUPLING MODEL; CHARGED-PARTICLE REACTIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; HEAVY ION REACTIONS; KINETICS; MATHEMATICAL MODELS; NUCLEAR MODELS; NUCLEAR REACTIONS; PARTICLE MODELS; REACTION KINETICS; VARIATIONS; 653003* - Nuclear Theory- Nuclear Reactions & Scattering

### Citation Formats

```
Ko, C.M., Agassi, D., and Weidenmueller, H.A.
```*Transport theory of deeply-inelastic heavy-ion collisions based on a random-matrix model II. Study of a one-dimensional model*. United States: N. p., 1979.
Web. doi:10.1016/0003-4916(79)90355-5.

```
Ko, C.M., Agassi, D., & Weidenmueller, H.A.
```*Transport theory of deeply-inelastic heavy-ion collisions based on a random-matrix model II. Study of a one-dimensional model*. United States. doi:10.1016/0003-4916(79)90355-5.

```
Ko, C.M., Agassi, D., and Weidenmueller, H.A. Thu .
"Transport theory of deeply-inelastic heavy-ion collisions based on a random-matrix model II. Study of a one-dimensional model". United States. doi:10.1016/0003-4916(79)90355-5.
```

```
@article{osti_6245019,
```

title = {Transport theory of deeply-inelastic heavy-ion collisions based on a random-matrix model II. Study of a one-dimensional model},

author = {Ko, C.M. and Agassi, D. and Weidenmueller, H.A.},

abstractNote = {Typical features of the transport equation derived in a previous paper are studied in the frame of a one-dimensional model. The optical-model Green's function is constructed, and the mean free path is evaluated numerically. The domain of validity of the semiclassical approximation to the transport equation is evaluated, the significance of conserving approximations is pointed out. For strong absorption (short mean free path) it is shown that quantum fluctuations caused by the uncertainty principle are important. Approximation methods are introduced and tested numerically.},

doi = {10.1016/0003-4916(79)90355-5},

journal = {Ann. Phys. (N.Y.); (United States)},

number = ,

volume = 117:2,

place = {United States},

year = {1979},

month = {2}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.