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12 papers · 1 filter
The metastate approach to thermodynamic chaos
C. M. Newman, D. L. Stein
In realistic disordered systems, such as the Edwards-Anderson (EA) spin glass, no order parameter, such as the Parisi overlap distribution, can be both translation-invariant and no…
Scalar transport in compressible flow
M. Vergassola, M. Avellaneda
Transport of scalar fields in compressible flow is investigated. The effective equations governing the transport at scales large compared to those of the advecting flow are derived…
Spatial organization in cyclic Lotka-Volterra systems
L. Frachebourg, P. L. Krapivsky, E. Ben-Naim
We study the evolution of a system of interacting species which mimics the dynamics of a cyclic food chain. On a one-dimensional lattice with N<5 species, spatial inhomogeneiti…
Fractal formation and ordering in random sequential adsorption
N. V. Brilliantov, Yu. A. Andrienko, P. L. Krapivsky +1
We reveal the fractal nature of patterns arising in random sequential adsorption of particles with continuum power-law size distribution, , . W…
Two-Scale Annihilation
E. Ben-Naim, S. Redner, P. L. Krapivsky
The kinetics of single-species annihilation, , is investigated in which each particle has a fixed velocity which may be either with equal probability, and a finit…
Response to Parisi's Comment on ``Non-mean-field behavior of realistic spin glasses''
C. M. Newman, D. L. Stein
We expand on why our recent results rule out the standard SK picture of realistic spin glasses.