### Abstract

In his seminal paper, Chua presented a fundamental physical claim by introducing the memristor, “The missing circuit element”. The memristor equations were originally supposed to represent a passive circuit element because, with active circuitry, arbitrary elements can be realized without limitations. Therefore, if the memristor equations do not guarantee that the circuit element can be realized by a passive system, the fundamental physics claims about the memristor as “missing circuit element” loses all its weight. The question of passivity/activity belongs to physics thus we incorporate thermodynamics into the study of this problem. We show that the memristor equations are physically incomplete regarding the problem of passivity/activity. As a consequence, the claim that the present memristor functions describe a passive device lead to unphysical results, such as violating the Second Law of thermodynamics, in infinitely large number of cases. The seminal memristor equations cannot introduce a new physical circuit element without making the model more physical such as providing the Fluctuation–Dissipation Theory of memristors.

Original language | English (US) |
---|---|

Journal | Fluctuation and Noise Letters |

DOIs | |

State | Accepted/In press - 2017 |

### Fingerprint

### Keywords

- activity
- incomplete models
- Memristors
- passivity

### ASJC Scopus subject areas

- Mathematics(all)
- Physics and Astronomy(all)

### Cite this

*Fluctuation and Noise Letters*. https://doi.org/10.1142/S0219477517710018

**Memristor Equations : Incomplete Physics and Undefined Passivity/Activity.** / Sundqvist, Kyle M.; Ferry, David K.; Kish, Laszlo B.

Research output: Contribution to journal › Article

*Fluctuation and Noise Letters*. https://doi.org/10.1142/S0219477517710018

}

TY - JOUR

T1 - Memristor Equations

T2 - Incomplete Physics and Undefined Passivity/Activity

AU - Sundqvist, Kyle M.

AU - Ferry, David K.

AU - Kish, Laszlo B.

PY - 2017

Y1 - 2017

N2 - In his seminal paper, Chua presented a fundamental physical claim by introducing the memristor, “The missing circuit element”. The memristor equations were originally supposed to represent a passive circuit element because, with active circuitry, arbitrary elements can be realized without limitations. Therefore, if the memristor equations do not guarantee that the circuit element can be realized by a passive system, the fundamental physics claims about the memristor as “missing circuit element” loses all its weight. The question of passivity/activity belongs to physics thus we incorporate thermodynamics into the study of this problem. We show that the memristor equations are physically incomplete regarding the problem of passivity/activity. As a consequence, the claim that the present memristor functions describe a passive device lead to unphysical results, such as violating the Second Law of thermodynamics, in infinitely large number of cases. The seminal memristor equations cannot introduce a new physical circuit element without making the model more physical such as providing the Fluctuation–Dissipation Theory of memristors.

AB - In his seminal paper, Chua presented a fundamental physical claim by introducing the memristor, “The missing circuit element”. The memristor equations were originally supposed to represent a passive circuit element because, with active circuitry, arbitrary elements can be realized without limitations. Therefore, if the memristor equations do not guarantee that the circuit element can be realized by a passive system, the fundamental physics claims about the memristor as “missing circuit element” loses all its weight. The question of passivity/activity belongs to physics thus we incorporate thermodynamics into the study of this problem. We show that the memristor equations are physically incomplete regarding the problem of passivity/activity. As a consequence, the claim that the present memristor functions describe a passive device lead to unphysical results, such as violating the Second Law of thermodynamics, in infinitely large number of cases. The seminal memristor equations cannot introduce a new physical circuit element without making the model more physical such as providing the Fluctuation–Dissipation Theory of memristors.

KW - activity

KW - incomplete models

KW - Memristors

KW - passivity

UR - http://www.scopus.com/inward/record.url?scp=85029699626&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85029699626&partnerID=8YFLogxK

U2 - 10.1142/S0219477517710018

DO - 10.1142/S0219477517710018

M3 - Article

JO - Fluctuation and Noise Letters

JF - Fluctuation and Noise Letters

SN - 0219-4775

ER -