Benjamin De Bari, James A. Dixon, Bruce A. Kay, Dilip Kondepudi |

- 2020-07-13

- 12 M

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Physical systems open to a flow of energy can exhibit spontaneous symmetry

breaking and self-organization. These nonequilibrium self-organized systems are

known as dissipative structures. We study the oscillatory mode of an electrically

driven dissipative structure. Our system consists of aluminum beads in shallow oil,

which, when subjected to a high voltage, self-organize into connected tree

structures. The tree structures serve as pathways for the conduction of charge to

ground. This system shows a variety of spatio-temporal behaviors, such as

oscillating movement of the tree structures. Utilizing a dynamical systems model of

the electromagnetic phenomena, we explore a potential mechanism underlying the

systems behavior and use the model to make additional empirical predictions.

The model reproduces the oscillatory behavior observed in the real system, and the

behavior of the real system is consistent with predictions from the model under

various constraints. From the empirical results and the mathematical model, we

observe a tendency for the system to select modes of behavior with increased

dissipation, or higher rates of entropy production, in accord with the proposed

Maximum Entropy Production (MEP) Principle.

1 : SIMULINK ⺻

1.1 SIMULINK 1

5

Ķ 7

ùķ̼ Ķ (Configuration Parameters) 8

ùķ̼ 9

Ķ ǥ 9

ǥ 11

2.2 ùķ̼ 13

̺й 17

º 23

DC ùķ̼ 24

Լ 29

й(difference equation) 34

Subsystem(νý) 37

2 :

Oscillatory dynamics of an electrically driven dissipative structure

1. Electrical self-organized Foraging Implementation 42

2. The charge-depletion model (CDM) 44

3. Materials and methods 48

4. Results 50

5. Stability analysis 53

6. Discussion 55

7. Conclusions 58

8. References 61