3 citations · 3 across the 1 of their papers we have counts for
4 papers
On the Emergence of Unstable Modes in an Expanding Domain for Energy-Conserving Wave Equations
K. J. H. Law, P. G. Kevrekidis, D. J. Frantzeskakis +1
Motivated by recent work on instabilities in expanding domains in reaction-diffusion settings, we propose an analog of such mechanisms in energy-conserving wave equations. In parti…
Bistability and Hysteresis in the Sliding Friction of a Dimer
S. Goncalves, C. Fusco, A. Bishop +1
The sliding friction of a dimer moving over a periodic substrate and subjected to an external force is studied in the steady state for arbitrary temperatures within a one-dimension…
Nonlinear Lattices Generated from Harmonic Lattices with Geometric Constraints
S. Takeno, S. V. Dmitriev, P. G. Kevrekidis +1
Geometrical constraints imposed on higher dimensional harmonic lattices generally lead to nonlinear dynamical lattice models. Helical lattices obtained by such a procedure are show…
Theory of Bubble Nucleation and Cooperativity in DNA Melting
S. Ares, N. K. Voulgarakis, K. O. Rasmussen +1
The onset of intermediate states (denaturation bubbles) and their role during the melting transition of DNA are studied using the Peyrard-Bishop-Daxuois model by Monte Carlo simula…