We investigate the spin dynamics of electrons in quantum wells where the Rashba type of spin-orbit coupling is present in the form of random nanosize domains. We study the effect of magnetic field on the spin relaxation in these systems and show that the spatial randomness of spin-orbit coupling limits the minimum relaxation rate and leads to a Gaussian time-decay of spin polarization due to memory effects. In this case the relaxation becomes faster with increase of the magnetic field in contrast to the well known magnetic field suppression of spin relaxation.The effect of magnetic field on spin relaxation in lowdimensional structures in the presence of spin-orbit (SO) coupling is an interesting theoretical and experimental problem. The understanding of this effect which allows to a certain extent the engineering of the spin dynamics in these systems can have a crucial impact on the possible spintronics applications. 1 The SO coupling of electrons in two-dimensional (2D) zincblende-based systems with the structural asymmetry grown along the [001] direction is described by the Rashba Hamiltonian, where α is the coupling constant,σ i are the Pauli matrices, and k is the in-plane wavevector of the electron. The random spin precession necessary for the spin relaxation is introduced by electron scattering by impurities, phonons, other electrons 3,4 and due to random dynamics in regular systems. 5 In the "dirty" limit, αkτ /h ≪ 1 with τ being the momentum relaxation time, the motional narrowing leads to the Dyakonov-Perel' mechanism 6 causing the exponential spin relaxation with the rate of the order of (αk/h) 2 τ . The spin relaxation rate decreases when a magnetic field is applied 7 due to the effect of the Lorenz force on the orbital movement of the electron. From the analysis of the spin relaxation in a magnetic field valuable information both on spin and charge dynamics can be extracted. 8 In the clean limit, αkτ /h ≫ 1 spin relaxation, on a time scale of the order of τ , occurs on the top of the spin precession 9 . Various mechanisms of spin relaxation in solids are reviewed in Ref. [10].In most quantum wells (QW) the Rashba-type SO coupling is achieved by asymmetric remote doping at the sides of the well; the same doping forms a smooth random potential scattering electrons. A crucially important step in being able to quickly manipulate the spins has been made by demonstrating that, by applying external bias across the quantum well, it is possible to change the magnitude of α 11,12,13,14,15 . Almost all previous studies assumed the α parameter to be constant in space. However, the evidence is growing that the SO coupling both in zincblende and Si x Ge 1−x /Si-based QWs 16,17 is a random function of coordinate. The randomness arises due to imperfections in the system, e.g. either due to shot noise accompanying the doping 16 or due to random variations of the bonds at Si/Ge interfaces 17 in the Si x Ge 1−x /Si systems considered as a hope for spintronics due to a very small SO coupling there. 18,19 Therefore, the ...