Prog. Theor. Phys. Vol. 78 No. 5 (1987) pp. 1051-1064

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Fragmentation of Isothermal Sheet-Like Clouds. I

— Solutions of Linear and Second-Order Perturbation Equations —

Shoken M. Miyama, Shinji Narita^* and Chushiro Hayashi^**

Department of Physics, Kyoto University, Kyoto 606
^*Department of Electronics, Dōshisha University, Kyoto 602
^**Momoyama Yogoro-cho 1, Fushimi-ku, Kyoto 612

(Received July 27, 1987)

Abstract:

The fragmentation instability of an infinite isothermal gas layer is investigated in order to see whether the observed complex structures of many dense interstellar clouds are the results of fragmentation of parent sheet-like clouds. Linear perturbation theory for this sheet-like cloud is well-known, but to find the final result of growing perturbations, a nonlinear analysis is needed. As the first step, we obtain in this paper the solutions of the second-order perturbation equations, which will be useful to understand the nature of the nonlinear effect. From the analysis of the nonlinear effect, we found that, if fragments are initially elongated, they become elongated more and more as they go on collapsing. Hence most of collapsing fragments have structures of very slender cylinders. We also discuss the equilibrium and the collapse of an infinitely long isothermal cylinder.

URL : http://ptp.ipap.jp/link?PTP/78/1051/
DOI : 10.1143/PTP.78.1051

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Citing Article(s) :

Progress of Theoretical Physics Vol. 78 No. 6 (1987) pp. 1273-1287 :
Fragmentation of Isothermal Sheet-Like Clouds. II

Shoken M. Miyama, Shinji Narita and Chushiro Hayashi
Progress of Theoretical Physics Vol. 100 No. 5 (1998) pp. 881-903 :
Thermal and Dynamical Evolution of Primordial Gas Clouds

Ryoichi Nishi, Hajime Susa, Hideya Uehara, Masako Yamada and Kazuyuki Omukai
Progress of Theoretical Physics Supplement No.96 (1988) pp. 63-72 :
Chapter 5. Collapse and Fragmentation of Isothermal Clouds

Shinji Narita, Shoken M. Miyama, Masayoshi Kiguchi and Chushiro Hayashi
Progress of Theoretical Physics Supplement No.147 (2002) pp. 1-9 :
Star Formation in the Primordial Gas: Overview

Ryoichi Nishi
Progress of Theoretical Physics Supplement No.147 (2002) pp. 43-84 :
The Role of Shock Heating in the Evolution of Massive Primordial Clouds

Masako Yamada
Progress of Theoretical Physics Supplement No.147 (2002) pp. 85-98 :
On the Fragment Mass Scale of Primordial Gas Clouds

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