# On the applicability of the standard kinetic theory to the study of nanoplasmas

## Abstract

Kinetic theory applies to systems with a large number of particles, while nanoplasma generated by the interaction of ultra–short laser pulses with atomic clusters are systems composed by a relatively small number (10{sup 2} ÷ 10{sup 4}) of electrons and ions. In the paper, the applicability of the kinetic theory for studying nanoplasmas is discussed. In particular, two typical phenomena are investigated: the collisionless expansion of electrons in a spherical nanoplasma with immobile ions and the formation of shock shells during Coulomb explosions. The analysis, which is carried out comparing ensemble averages obtained by solving the exact equations of motion with reference solutions of the Vlasov-Poisson model, shows that for the dynamics of the electrons the error of the usually employed models is of the order of few percents (but the standard deviation in a single experiment can be of the order of 10%). Instead, special care must be taken in the study of shock formation, as the discrete structure of the electric charge can destroy or strongly modify the phenomenon.

- Authors:

- Scuola di Ingegneria, Università della Basilicata, via dell'Ateneo Lucano, 10-85100 Potenza (Italy)
- Dipartimento Energia, Politecnico di Torino, Corso Duca degli Abruzzi, 24-10129 Torino (Italy)
- (Portugal)

- Publication Date:

- OSTI Identifier:
- 22303587

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ATOMIC CLUSTERS; COMPARATIVE EVALUATIONS; ELECTRIC CHARGES; ELECTRONS; EQUATIONS OF MOTION; ERRORS; IONS; LASERS; MATHEMATICAL SOLUTIONS; PLASMA EXPANSION; SPHERICAL CONFIGURATION

### Citation Formats

```
D'Angola, A., E-mail: antonio.dangola@unibas.it, Boella, E., GoLP/Instituto de Plasmas e Fusão Nuclear-Laboratório Associado, Instituto Superior Técnico, Avenida Rovisco Pais 1-1049-001 Lisboa, and Coppa, G.
```*On the applicability of the standard kinetic theory to the study of nanoplasmas*. United States: N. p., 2014.
Web. doi:10.1063/1.4894109.

```
D'Angola, A., E-mail: antonio.dangola@unibas.it, Boella, E., GoLP/Instituto de Plasmas e Fusão Nuclear-Laboratório Associado, Instituto Superior Técnico, Avenida Rovisco Pais 1-1049-001 Lisboa, & Coppa, G.
```*On the applicability of the standard kinetic theory to the study of nanoplasmas*. United States. doi:10.1063/1.4894109.

```
D'Angola, A., E-mail: antonio.dangola@unibas.it, Boella, E., GoLP/Instituto de Plasmas e Fusão Nuclear-Laboratório Associado, Instituto Superior Técnico, Avenida Rovisco Pais 1-1049-001 Lisboa, and Coppa, G. Fri .
"On the applicability of the standard kinetic theory to the study of nanoplasmas". United States.
doi:10.1063/1.4894109.
```

```
@article{osti_22303587,
```

title = {On the applicability of the standard kinetic theory to the study of nanoplasmas},

author = {D'Angola, A., E-mail: antonio.dangola@unibas.it and Boella, E. and GoLP/Instituto de Plasmas e Fusão Nuclear-Laboratório Associado, Instituto Superior Técnico, Avenida Rovisco Pais 1-1049-001 Lisboa and Coppa, G.},

abstractNote = {Kinetic theory applies to systems with a large number of particles, while nanoplasma generated by the interaction of ultra–short laser pulses with atomic clusters are systems composed by a relatively small number (10{sup 2} ÷ 10{sup 4}) of electrons and ions. In the paper, the applicability of the kinetic theory for studying nanoplasmas is discussed. In particular, two typical phenomena are investigated: the collisionless expansion of electrons in a spherical nanoplasma with immobile ions and the formation of shock shells during Coulomb explosions. The analysis, which is carried out comparing ensemble averages obtained by solving the exact equations of motion with reference solutions of the Vlasov-Poisson model, shows that for the dynamics of the electrons the error of the usually employed models is of the order of few percents (but the standard deviation in a single experiment can be of the order of 10%). Instead, special care must be taken in the study of shock formation, as the discrete structure of the electric charge can destroy or strongly modify the phenomenon.},

doi = {10.1063/1.4894109},

journal = {Physics of Plasmas},

number = 8,

volume = 21,

place = {United States},

year = {Fri Aug 15 00:00:00 EDT 2014},

month = {Fri Aug 15 00:00:00 EDT 2014}

}