Corpus ID: 85498810

The phase structure of asymmetric ballistic annihilation

@article{Junge2018ThePS,
  title={The phase structure of asymmetric ballistic annihilation},
  author={Matthew Junge and Hanbaek Lyu},
  journal={arXiv: Probability},
  year={2018}
}
  • Matthew Junge, Hanbaek Lyu
  • Published 2018
  • Mathematics
  • arXiv: Probability
  • In ballistic annihilation, particles are placed throughout the real line with independent spacings and each is assigned a velocity. The particles then move at their assigned velocity and annihilate upon colliding. We develop a framework based on a mass transport principle to analyze the three-velocity case with arbitrary spacings, velocities, and weights. Our main theorem establishes the existence of a phase transition for all such systems, and provides an almost complete description for where… CONTINUE READING

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