# On the Diffusion of Sticky Particles in 1D

@article{Hellier2018OnTD, title={On the Diffusion of Sticky Particles in 1D}, author={Joshua D M Hellier and Graeme J. Ackland}, journal={arXiv: Statistical Mechanics}, year={2018} }

The 1D Ising model is the simplest Hamiltonian-based model in statistical mechanics. The sim- plest interacting particle process is the Symmetric Exclusion Process (SEP), a 1D lattice gas of particles that hop symmetrically and cannot overlap. Combining the two gives a model for sticky particle diffusion, SPM, which is described here. SPM dynamics are based on SEP with short-range interaction, allowing flow due to non-equilibrium boundary conditions. We prove that SPM is also a detailed-balance…

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