Particle dynamics with heterogeneous rates
Published on:
8 May 2024
Primary Category:
Probability
Paper Authors:
Mikhail Menshikov,
Serguei Popov,
Andrew Wade
Bullets
Key Details
Particles perform random walks with individual left/right jump rates
Exclusion interaction prevents multiple occupancy
Sufficient conditions given for particles to form a coherent 'cloud'
Gaps between particles converge to stationary distribution
All particles obey law of large numbers with same speed
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AI generated summary
Particle dynamics with heterogeneous rates
This paper studies a model of particles moving on a line, where each particle jumps randomly left and right at its own intrinsic rates. An exclusion interaction prevents multiple particles occupying one site. Under conditions on the jump rates, if started closely packed, the particles form a 'stable cloud', meaning the gaps between particles reach a stationary distribution, and all particles share one overall speed.
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