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clearly quite noisy, presumably due to the small system size. To obtain a measure of the width of the flowing region from these noisy profiles, we use the following definition of localisation length, denoted by l$_{int}$ [27] 

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This integral, which has the required dimensions of length, is calculated numerically for each of our velocity profiles using the Trapezoidal Rule. Fig. 7 shows a varia- tion of localisation length with λV . Note that for low λV we find large scatter in the localisation lengths, however, this scatter decreases as λV is increased. For high λV , the length converges towards the minimum localisation length, l$_{min}$ = ¯ A 1 / $^{2}$, the width of one bubble layer (see 

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