Mupi,
The passive radiator moves because of air pressure fluctuations within the sealed enclosure, like a diaphragm, caused by the movements of the active driver cone (the one with a magnet and powered).
Think how pressures within the speaker enclosure vary and differ while operating a sealed or ported cabinet if you were to measure with a very sensitive device, capable of measuring fractions of a pound of pressure, capable of measuring say 1/25th of 1 psig.
Think of it this way. At first, high fidelity speakers were sealed, then came along the bright idea to port the cabinet to boost acoustic output (generate sound from both surfaces of the driver cone. Passive radiators do similar, but with a slightly different twist (some degree of dampening possible). Vented or PR rely upon driver cone rear surface movements/radiating area to generate additional sound, the need to create more sound output from a given power level and cone radiating area. Sealed generate sound from the front face of the driver cone, vented and PR rely upon or "play" both sides of the driver cone to create output. Hence why ported subs "sound" more dramatic. And reason why a ported or PR cabinet can never be as sonically accurate as a sealed. Ported or PR rely upon "ringing" or secondary movements to generate additional sound. Quantity at the cost of accuracy. You want highly accurate bass output, get sealed enclosure driver surface area, multiple units, multiple drivers, more amplification power.
Some people don't care for sealed sub sound characteristics, they prefer exaggerated versus accurate. They want more BOOM, it impresses family and friends, see my room vibrate wildly.