# Radu Balescu and the search for an stochastic description of turbulent transport in plasmas

## Abstract

An idea that the late Prof. Radu Balescu often pondered during his long and distinguished scientific career was the possibility of constructing simple stochastic or probabilistic models able to capture the basic features of the complex dynamics of turbulent transport in magnetically confined plasmas. In particular, the application of the continuous-time random walk (CTRW) concept to this task was one of his favorites. In the last few years prior to his death, we also became interested in applying (variations of the standard) CTRW to these problems. In our case, it was the natural way to move beyond the simple paradigms based on sandpile constructs that we had been previously studying. This common interest fueled an intense electronic correspondence between Prof. Balescu and us that started in 2004 and was only interrupted by his unexpected death in June 2006. In this paper, we pay tribute to his memory by reviewing some of these exciting concepts that interested him so much and by sketching the problems and ideas that we discussed so frequently during these two years. Regretfully, he will no longer be here to help us solve them.

- Authors:

- ORNL
- Asociacion EURATOM-CIEMAT

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program

- OSTI Identifier:
- 931988

- DOE Contract Number:
- DE-AC05-00OR22725

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of the University of Craiova: Physics Series; Journal Volume: 17

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA; TURBULENCE; PLASMA SIMULATION; MAGNETIC CONFINEMENT; MASS TRANSFER; turbulent transport; nondiffusive transport; renormalization theory; fluid closure

### Citation Formats

```
Sanchez, Raul, Carreras, Benjamin A, and van Milligen, B. Ph.
```*Radu Balescu and the search for an stochastic description of turbulent transport in plasmas*. United States: N. p., 2007.
Web.

```
Sanchez, Raul, Carreras, Benjamin A, & van Milligen, B. Ph.
```*Radu Balescu and the search for an stochastic description of turbulent transport in plasmas*. United States.

```
Sanchez, Raul, Carreras, Benjamin A, and van Milligen, B. Ph. Mon .
"Radu Balescu and the search for an stochastic description of turbulent transport in plasmas". United States.
doi:.
```

```
@article{osti_931988,
```

title = {Radu Balescu and the search for an stochastic description of turbulent transport in plasmas},

author = {Sanchez, Raul and Carreras, Benjamin A and van Milligen, B. Ph.},

abstractNote = {An idea that the late Prof. Radu Balescu often pondered during his long and distinguished scientific career was the possibility of constructing simple stochastic or probabilistic models able to capture the basic features of the complex dynamics of turbulent transport in magnetically confined plasmas. In particular, the application of the continuous-time random walk (CTRW) concept to this task was one of his favorites. In the last few years prior to his death, we also became interested in applying (variations of the standard) CTRW to these problems. In our case, it was the natural way to move beyond the simple paradigms based on sandpile constructs that we had been previously studying. This common interest fueled an intense electronic correspondence between Prof. Balescu and us that started in 2004 and was only interrupted by his unexpected death in June 2006. In this paper, we pay tribute to his memory by reviewing some of these exciting concepts that interested him so much and by sketching the problems and ideas that we discussed so frequently during these two years. Regretfully, he will no longer be here to help us solve them.},

doi = {},

journal = {Annals of the University of Craiova: Physics Series},

number = ,

volume = 17,

place = {United States},

year = {Mon Jan 01 00:00:00 EST 2007},

month = {Mon Jan 01 00:00:00 EST 2007}

}