21 citations · 42 across the 5 of their papers we have counts for
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math-ph2000
Bounded Fluctuations and Translation Symmetry Breaking in One-Dimensional Particle Systems
M. Aizenman, S. Goldstein, J. L. Lebowitz
We present general results for one-dimensional systems of point charges (signed point measures) on the line with a translation invariant distribution for which the variance of…
math-ph2000
Spatial Structure in Low Dimensions for Diffusion Limited Two-Particle Reactions
M. Bramson, J. L. Lebowitz
Consider the system of particles on where particles are of two types, and , and execute simple random walks in continuous time. Particles do not interact with t…
math-ph2000
Fourier's Law: a Challenge for Theorists
F. Bonetto, J. L. Lebowitz, L. Rey-Bellet
We present a selective overview of the current state of our knowledge (more precisely of ourignorance) regarding the derivation of Fourier's Law, ${\bf J}(\br) =-κ{\bf \nabla}T(\br…