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1 Introduction 1 2 The Boltzmann equation 3 2.1 The equation 3 2.2 Numerical method for the Boltzmann equation 3 3 Force and torque on the rigid body 4 3.1 Force, torque and equation of motion 5 3.2 Numerical approximation of the force and the torque within the DSMC scheme 5 4 Brownian motion 7 4.1 Translational Brownian motion of a rigid particle 8 4.2 Rotational Brownian motion and Brownian diffusion 10 5 Numerical results 11 6 Conclusion and outlook 14

Language

EN