# Nonlinear evolution of the r-modes in neutron stars.

TL;DR: The evolution of a neutron-star r-mode driven unstable by gravitational radiation is studied here using numerical solutions of the full nonlinear fluid equations to study the nonlinear evolution of the mode.

Abstract: The evolution of a neutron-star $r$-mode driven unstable by gravitational radiation is studied here using numerical solutions of the full nonlinear fluid equations. The dimensionless amplitude of the mode grows to order unity before strong shocks develop which quickly damp the mode. In this simulation the star loses about $40%$ of its initial angular momentum and $50%$ of its rotational kinetic energy before the mode is damped. The nonlinear evolution causes the fluid to develop strong differential rotation which is concentrated near the surface and poles of the star.

...read more

##### Citations

1,796 citations

717 citations

479 citations

### Cites background from "Nonlinear evolution of the r-modes ..."

...However, Arras et al. (2003) found that the r-mode waves saturate at amplitudes lower than obtained in previous numerical calculations (Lindblom et al. 2001) that assumed an unrealistically large driving force....

[...]

^{1}, Novosibirsk State University

^{2}, GSI Helmholtz Centre for Heavy Ion Research

^{3}, University of Kentucky

^{4}, Fermilab

^{5}, Washington University in St. Louis

^{6}, University of Graz

^{7}, University of Vienna

^{8}, University of Maryland, College Park

^{9}, Max Planck Society

^{10}, Vienna University of Technology

^{11}, Thomas Jefferson National Accelerator Facility

^{12}, Hampton University

^{13}, University of Bonn

^{14}, University of Washington

^{15}, Complutense University of Madrid

^{16}, University of Mainz

^{17}, Moscow Institute of Physics and Technology

^{18}, University of Groningen

^{19}, University of Paris-Sud

^{20}, Indiana University

^{21}, University of California, Davis

^{22}, Lawrence Livermore National Laboratory

^{23}, University of Helsinki

^{24}, University of Virginia

^{25}, Istituto Nazionale di Fisica Nucleare

^{26}, Forschungszentrum Jülich

^{27}, University of Bern

^{28}, Warsaw University of Technology

^{29}, CERN

^{30}, Kent State University

^{31}, Utrecht University

^{32}, National Research Nuclear University MEPhI

^{33}, Lawrence Berkeley National Laboratory

^{34}, University of Valencia

^{35}, University of Granada

^{36}, Brookhaven National Laboratory

^{37}, Stony Brook University

^{38}, University of Naples Federico II

^{39}, University of Santiago de Compostela

^{40}, Ruhr University Bochum

^{41}, Far Eastern Federal University

^{42}

385 citations

237 citations