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. 2016 Nov 22;32(50):13546–13555. doi: 10.1021/acs.langmuir.6b03614

Figure 3.

Figure 3

Behavior of the Hessian Inline graphic ≡ ∂2fvar/∂l02 as a function of membrane equilibrium spacing ⟨l0⟩ and salt concentrations for CC (solid lines) and CP (dashed lines) boundary conditions. Colors represent different salt concentrations, given in units of mM by numbers next to the data. All the CC curves show a non-negative Hessian, and the Gaussian theory on which they are based is stable. The CP curves show a more complicated behavior, often exhibiting negative values of the Hessian, signaling a breakdown of the Gaussian theory.