The scaling limit of a particle system with long-range interaction
Abstract
We describe the macroscopic behaviour of a particle system with long-range interactions. We describe conditions on the interaction strength in dependency of the distance of the particles, such that the scaling limit of the particle system is a well-posed stochastic PDE.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2015
- DOI:
- arXiv:
- arXiv:1512.05895
- Bibcode:
- 2015arXiv151205895B
- Keywords:
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- Mathematics - Probability;
- 60H15;
- 35R60;
- 82B26
- E-Print:
- 28 pages. Comments welcome