5 papers
A moving boundary model motivated by electric breakdown: II. Initial value problem
Chiu-Yen Kao, Fabian Brau, Ute Ebert +2
An interfacial approximation of the streamer stage in the evolution of sparks and lightning can be formulated as a Laplacian growth model regularized by a 'kinetic undercooling' bo…
The coherent scattering function of the reptation model: simulations compared to theory
Artur Baumgärtner, Ute Ebert, Lothar Schäfer
We present results of Monte Carlo simulations measuring the coherent structure function of a chain moving through an ordered lattice of fixed topological obstacles. Our computer ex…
Universal Algebraic Relaxation of Velocity and Phase in Pulled Fronts generating Periodic or Chaotic States
Cornelis Storm, Willem Spruijt, Ute Ebert +1
We investigate the asymptotic relaxation of so-called pulled fronts propagating into an unstable state. The ``leading edge representation'' of the equation of motion reveals the un…
Segment Motion in the Reptation Model of Polymer Dynamics. I. Analytical Investigation
U. Ebert, L. Schäfer, A. Baumgärtner
We analyze the motion of individual beads of a polymer chain using a discrete version of De Gennes' reptation model that describes the motion of a polymer through an ordered lattic…
Segment Motion in the Reptation Model of Polymer Dynamics. II. Simulations
A. Baumgärtner, U. Ebert, L. Schäfer
We present simulation data for the motion of a polymer chain through a regular lattice of impenetrable obstacles (Evans-Edwards model). Chain lengths range from N=20 to N=640, and…