Local stress and elastic properties of lipid membranes obtained from elastic energy variation
arXiv:2206.11781 · doi:10.1103/PhysRevE.107.024414
Abstract
A theory and computational method are provided for the calculation of lipid membranes elastic parameters, which overcomes the difficulties of the existing approaches and can be applied not only to single-component but also to multi-component membranes. It is shown that the major elastic parameters can be determined as the derivatives of the stress-profile moments with respect to stretching. The more general assumption of the global incompressibility, instead of the local one, is employed, which allows the measurement of the local Poisson's ratio from the response of the stress profile to the isotropic ambient pressure. In the case of the local incompressibility and quadratic energy law, a direct relation between the bending modulus and Gaussian curvature modulus is established.
References in corpus (7)
- Canonical sampling through velocity-rescaling
- A novel method for measuring the bending rigidity of model lipid membranes by simulating tethers
- Interface mediated interactions between particles -- a geometrical approach
- Anisotropic surface tension of buckled fluid membrane
- Determination of Elastic Parameters of Lipid Membranes with Molecular Dynamics: A Review of Approaches and Theoretical Aspects
- Non-uniqueness of local stress of three-body potentials in molecular simulations
- Membrane stress and torque induced by Frank's nematic textures: A geometric perspective using surface-based constraints