Fig. 4 | Scientific Reports

Fig. 4

From: Signature of cooperativity in the stochastic fluctuations of small systems with application to the bacterial flagellar motor

Fig. 4

Discrete equilibrium probability distribution of the number of bound particles, \(P\left( N\right)\), for different values of the (dimensionless) interaction potential: \(J=0\) (orange), 3 (blue), and 5 (green). Histograms are obtained from an exact enumeration using the 1D Hamiltonian from Eq. (1) for a system of size \(L=13\) for the average occupancies \(\langle N \rangle = \langle \varphi \rangle L = 4.33,\,6.5,\) and 8.67 (\(\langle \varphi \rangle = 1/3,\, 1/2,\) and 2/3), respectively.

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