Brownian Motion of a Free Particle and a Harmonic Oscillator
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چکیده
for a Brownian oscillator, where x(t) specifies the position of the particle or oscillator at time t, m is the mass, ( x is the viscous drag experienced by the particle, lVo is the oscillator frequency, and F(t) is the white-noise driving force. We also consider the rotational analogs of these two models, namely, a free single-axis rotator and a torsional oscillator. The corresponding Langevin equations are
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