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8 papers · 2 filters
Theory of deflagration in disordered media
Mauro Schiulaz, Christopher R. Laumann, Alexander V. Balatsky +1
The conventional theory of burning works well in the case of uniform media where all system parameters are spatially independent. We develop a theory of burning in disordered media…
Variational calculation of transport coefficients in diffusive lattice gases
Chikashi Arita, P. L. Krapivsky, Kirone Mallick
A diffusive lattice gas is characterized by the diffusion coefficient depending only on the density. The Green-Kubo formula for diffusivity can be represented as a variational form…
Kinetics of Aggregation with Choice
E. Ben-Naim, P. L. Krapivsky
We generalize the ordinary aggregation process to allow for choice. In ordinary aggregation, two random clusters merge and form a larger aggregate. In our implementation of choice,…
Densification and Structural Transitions in Networks that Grow by Node Copying
U. Bhat, P. L. Krapivsky, R. Lambiotte +1
We introduce a growing network model---the copying model---in which a new node attaches to a randomly selected target node and, in addition, independently to each of the neighbors…
Joint distributions of partial and global maxima of a Brownian Bridge
O. Benichou, P. L. Krapivsky, C. Mejia-Monasterio +1
We analyze the joint distributions and temporal correlations between the partial maximum and the global maximum achieved by a Brownian Bridge on the subinterval a…
Kinetics of Diffusion-Controlled Annihilation with Sparse Initial Conditions
E. Ben-Naim, P. L. Krapivsky
We study diffusion-controlled single-species annihilation with sparse initial conditions. In this random process, particles undergo Brownian motion, and when two particles meet, bo…