Magnetic field turbulence in the heliosphere is modeled by two-dimensional coherent vortex structures and random-phase linear wave fields added to a background magnetic field. Energetic particle trapping and acceleration by interaction with the turbulent fields are studied numerically. The corresponding radial and field-aligned diffusion coefficients are estimated. Different diffusion regimes (subdiffusion, superdiffusion, classical diffusion) are controlled by the following parameters: the ratio between amplitudes of the random component and the regular vortex field, $epsilon$1, and the ratio between the average particle gyroradius and the magnetic field correlation length, $epsilon$2. The anomalous diffusion regime occurs when the correlation length of magnetic field disturbances is about the same or larger than the particle gyroradius ($epsilon$2 ≤ 1). Applications of our results to cosmic ray transport are discussed.