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How to construct the tensor network for large classical off-lattice problem?

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Consider a many body classical system, for simplicity let's assume it's some gas with pairwise interaction between particles. I would like to build a Tensor Network for the system. However the particles become off-lattice in the moment the simulation starts (assuming each particle occupied a lattice site at $t=0$).

1. Is there a way to build an off-lattice Tensor Network representation of a system or it's only applied for a system which is constrained to a lattice?

2. What's the difference between Tensor Network and regular Graph Theory approach to represent systems?

asked Jul 27, 2018 in Theoretical Physics by lopo (45 points) [ revision history ]
edited Jul 30, 2018 by lopo

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