We study the entanglement capability of the evolution of a pair of qubits subject to unitary dynamics, when the dynamical parameters are fixed, that is they cannot be modified during the time evolution via external control. Unlike the fast local control regime, we find that local and nonlocal contributions to the dynamics are strictly interconnected, and both relevant in determining the entangling capability of the channel. It turns out that it is possible to strongly increase this quantity by suitably initializing the characteristic energies of the two parties; a significative magnification is obtained when these energies are equal. Analytical results are obtained for a subclass of dynamics, and numerical results are presented for more general cases.
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