A mean-field model of memristive circuit interaction
We construct an exactly solvable circuit of interacting memristors and study its dynamics and fixed points. This simple circuit model interpolates between decoupled circuits of isolated memristors, and memristors in series, for which exact fixed points can be obtained. Here, we introduce a Lyapunov functional that is found to be minimized along the non-equilibrium dynamics and which resembles a long-range Ising Hamiltonian with non-linear self-interactions. We use the Lyapunov functional as a Hamiltonian to calculate, in the mean-field theory approximation, the average asymptotic behavior of the circuit given a random initialization, yielding exact predictions for the case of decay to the lower resistance state, and reasonable predictions for the case of a decay to the higher resistance state.
- Research Organization:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1481128
- Report Number(s):
- LA-UR-17-23729
- Journal Information:
- Europhysics Letters (Online), Vol. 122, Issue 4; ISSN 1286-4854
- Publisher:
- IOP PublishingCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Taming a nonconvex landscape with dynamical long-range order: Memcomputing Ising benchmarks
|
journal | November 2019 |
Memristors for the Curious Outsiders
|
journal | December 2018 |
| Taming a non-convex landscape with dynamical long-range order: memcomputing Ising benchmarks | text | January 2018 |
Similar Records
Locality of interactions for planar memristive circuits
Memristive networks: From graph theory to statistical physics