58 citations · 73 across the 8 of their papers we have counts for
8 papers
Model for energy transfer by coherent Fermi pressure fluctuations in quantum soft matter
Mark A. Peterson
A 1-dimensional model for coherent quantum energy transfer through a complex of compressible boxes is investigated by numerical integration of the time-dependent Schrödinger equati…
The Geometry of Ciliary Dynamics
Mark A. Peterson
Cilia are motile biological appendages that are driven to bend by internal shear stresses between tubulin filaments. A continuum model of ciliary material is constructed that incor…
Lagrangian Crumpling Equations
Mark A. Peterson
A concise method for following the evolving geometry of a moving surface using Lagrangian coordinates is described. All computations can be done in the fixed geometry of the initia…
Elliptic function representation of doubly periodic two-dimensional Stokes flows
Mark A. Peterson, Danti Chen, Mengqi Ding
We construct doubly periodic Stokes flows in two dimensions using elliptic functions. This method has advantages when the doubly periodic lattice of obstacles has less than maximal…
Crumpling of Curved Sheets: Generalizing Foeppl-von Karman
J. Leo van Hemmen, Mark A. Peterson
We generalize the Föppl-von Kármán equations to an initially precurved sheet and present the underlying derivation. A geometrically computed moment of strain replaces the notion of…
Galileo's Discovery of Scaling Laws
Mark A. Peterson
Galileo's realization that nature is not scale invariant, motivating his subsequent discovery of scaling laws, is traced to two lectures he gave on the geography of Dante's Inferno…