TY  - JOUR
VL  - 122
UR  - http://dx.doi.org/10.1209/0295-5075/122/40008
A1  - Caravelli, F
A1  - Barucca, P
EP  - 6
N2  - 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. 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.
ID  - discovery10057190
PB  - IOP PUBLISHING LTD
N1  - This version is the author accepted manuscript. For information on re-use, please refer to the publisher?s terms and conditions.
TI  - A mean-field model of memristive circuit interaction
Y1  - 2018/07/04/
JF  - EPL
AV  - public
KW  - Science & Technology
KW  -  Physical Sciences
KW  -  Physics
KW  -  Multidisciplinary
KW  -  Physics
KW  -  SYSTEMS
KW  -  DEVICES
IS  - 4
SN  - 1286-4854
ER  -