Crazy 1d billiards: Behavior of spring-fixated, noisy colliding   particles
  We study a one-dimensional system of spatially extended particles, which are fixated to regularly spaced locations by means of elastic springs. The particles are assumed to be driven by a Gaussian noise and to have dissipative, energy-conserving or anti-dissipative (flipper-like) interactions, when the particle density exceeds a critical threshold. While each particle in separation shows a wellbehaved behavior characterized by a Gaussian velocity distribution, the interaction of particles at high densities can cause an avalanche-like momentum and energy transfer, which can generate steep power laws without a well-defined variance and mean value. Specifically, the velocity variance increases dramatically towards the free boundaries of the driven-many-particle system. The model might also have some relevance for a better understanding of crowd disasters. Our results suggest that these are most likely caused by passive momentum transfers, and not by active pushing. 
Roman Mani, Lucas B\"ottcher, Hans J. Herrmann and Dirk Helbing
cond-mat.stat-mech cond-mat.soft