TY - JOUR A2 - Leonel, Edson Denis AU - Manchein, Cesar AU - Beims, Marcus W. PY - 2009 DA - 2009/09/14 TI - Dissipation Effects in the Ratchetlike Fermi Acceleration SP - 513023 VL - 2009 AB - Ac-driven asymmetric pulses can be used to control the Fermi acceleration between three different motions, A: the accelerated mode, D: the decelerated mode, and H: the hyperaccelerated mode. In this paper we show that dissipation strongly affects the particles velocity, reducing the possibility for an accurate control of the dynamics. The saturation time, where the mean velocity starts to be constant due to dissipation, decays with a power law ~γβ, where γ is the dissipation parameter and β is close to 1. The value of the saturated mean velocity also decays with a power law with exponent β~ 0.6 for case H, and β~ 0.3 for case A. In case D this velocity is almost constant for small dissipations. SN - 1024-123X UR - https://doi.org/10.1155/2009/513023 DO - 10.1155/2009/513023 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -