Direct Calculation from the Stress Tensor of the Lateral Surface Tension of Fluctuating Fluid Membranes

Jean-Baptiste Fournier, Camilla Barbetta
2008 Physical Review Letters  
From the tangential and normal stresses associated with the Helfrich Hamiltonian, we calculate the lateral force per unit length, , exerted by a planar, fluctuating membrane, as a function of the membrane tension and bending rigidity . We unveil a confusion in the literature concerning the derivation of , and we argue, contrary to the present understanding, that should differ from the tensionlike coefficient of the fluctuation spectrum. Nontrivial implications concerning the Laplace pressure in
more » ... vesicles and its relation with the excess area are discussed.
doi:10.1103/physrevlett.100.078103 pmid:18352601 fatcat:obmxlp5esfgevgoesruae5jvny