54 citations · 176 across the 8 of their papers we have counts for
8 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 in the reptation model: analysis beyond asymptotic limits
Lothar Schäfer, Ute Ebert, Artur Baumgärtner
We calculate the coherent dynamical scattering function S_c(q,t;N) of a flexible chain of length N, diffusing through an ordered background of topological obstacles. As an instruct…
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…
Theta-point behavior of diluted polymer solutions: Can one observe the universal logarithmic corrections predicted by field theory?
Johannes Hager, Lothar Sch"afer
In recent large scale Monte-Carlo simulations of various models of Theta-point polymers in three dimensions Grassberger and Hegger found logarithmic corrections to mean field theor…
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…
Short Time Behavior in De Gennes' Reptation Model
Ute Ebert, Artur Baumgärtner, Lothar Schäfer
To establish a standard for the distinction of reptation from other modes of polymer diffusion, we analytically and numerically study the displacement of the central bead of a chai…
Self Avoiding Walks in Four Dimensions: Logarithmic Corrections
Peter Grassberger, Rainer Hegger, Lothar Schaefer
We present simulation results for long () self-avoiding walks in four dimensions. We find definite indications of logarithmic corrections, but the data are poorly descr…