For large systems, the TR-representation in AdResS (which only involves one-particle forces) will be less expensive than the CG-representation in AdSoS (which still relies on pairwise forces). However, AdSoS also presents two advantages. First, the progressive transition FG↔SG↔CG, as determined by the continuous position-dependent scaling parameter s, is smooth, i.e. it involves no non-conservative forces. This is not the case in TR-AdResS, where the sudden insertion of TRparticles into the AT region may induce very large forces, which need to be capped (truncated).