Data

Tools

Indexes

Applications

Experiments

Open Source Science

jart-tud-vcm-memristor-model

Memristor model: Various implementations of the simplified memristor model "JART-TUD VCM"

https://github.com/vntinas/jart-tud-vcm-memristor-model

Science Score: 44.0%

This score indicates how likely this project is to be science-related based on various indicators:

  • ✓
    CITATION.cff file
    Found CITATION.cff file
  • ✓
    codemeta.json file
    Found codemeta.json file
  • ✓
    .zenodo.json file
    Found .zenodo.json file
  • ○
    DOI references
  • ○
    Academic publication links
  • ○
    Academic email domains
  • ○
    Institutional organization owner
  • ○
    JOSS paper metadata
  • ○
    Scientific vocabulary similarity
    Low similarity (3.1%) to scientific vocabulary

Keywords

hardware-acceleration memristive-devices memristor memristor-models memristors reram resistive-switching rram rram-modeling
Last synced: 6 months ago · JSON representation ·

Repository

Memristor model: Various implementations of the simplified memristor model "JART-TUD VCM"

Basic Info
Statistics
  • Stars: 3
  • Watchers: 1
  • Forks: 0
  • Open Issues: 0
  • Releases: 0
Topics
hardware-acceleration memristive-devices memristor memristor-models memristors reram resistive-switching rram rram-modeling
Created about 3 years ago · Last pushed over 1 year ago
Metadata Files
Readme Citation

README.md

JART-TUD VCM memristor model

Code availability timeline

Memristor Current Equation

Simplified memristor current ($I_{\rm M}$) expression

math \begin{aligned}[b] I_{\rm M}\left(N_{\rm d},V_{\rm M}, d_{\rm r}, d_{\rm l}\right) = &\textcolor{green}{{p}_{\rm1}(V_{\rm M}, d_{\rm r}, d_{\rm l})}\left(\textcolor{green}{{p}_{\rm2}(V_{\rm M}, d_{\rm r}, d_{\rm l})}\left( e^{\frac{\left(\ln\frac{N_{\rm d}}{N_{\rm d,L}}-\textcolor{green}{{p}_{\rm3}(V_{\rm M}, d_{\rm r}, d_{\rm l})}\right)}{\textcolor{green}{{p}_{\rm4}(V_{\rm M}, d_{\rm r}, d_{\rm l})}}}-1\right)+\left(\ln\frac{N_{\rm d}}{N_{\rm d,L}}-\textcolor{green}{{p}_{\rm3}(V_{\rm M}, d_{\rm r}, d_{\rm l})}\right)\right) \\ &+ \frac{\textcolor{green}{{p}_{\rm5}(V_{\rm M}, d_{\rm r}, d_{\rm l})}}{\left(\textcolor{green}{{p}_{\rm6}(V_{\rm M},d_r,d_l)}+\textcolor{green}{{p}_{\rm7}(V_{\rm M},d_r,d_l)}\cdot\left(\textcolor{green}{{p}_{\rm8}(V_{\rm M},d_r,d_l)}e^{\ln\left(\frac{N_{\rm d}}{N_{\rm d,L}}\right)-\textcolor{green}{{p}_{\rm9}(V_{\rm M},d_r,d_l)}}\right)^{-\textcolor{green}{{p}_{\rm10}(V_{\rm M},d_r,d_l)}}\right)^{1/\textcolor{green}{{p}_{\rm11}(V_{\rm M},d_r,d_l)}}} \end{aligned}

$p_i$ functions

Applied Voltage VM>0

$p1(V{\rm M}, d{\rm r}, d{\rm l}) = 0$

$p2(V{\rm M}, d{\rm r}, d{\rm l}) = 0$

$p3(V{\rm M}, d{\rm r}, d{\rm l}) = 0$

$p4(V{\rm M}, d{\rm r}, d{\rm l}) = 1$

$p5(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{5,0|f}(d{\rm r}, d{\rm l})\color{black} - \color{blue}p{5,1|f}(d{\rm r}, d{\rm l})\color{black} * e^{-\color{blue}p{5,2|f}(d{\rm r}, d{\rm l})\color{black}*V{\rm M}}$

$p6(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{6,0|f}(d{\rm r}, d{\rm l})\color{black} + \color{blue}p{6,1|f}(d{\rm r}, d{\rm l})\color{black}*V_{\rm M}$

$p7(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{7,0|f}(d{\rm r}, d{\rm l})\color{black} + \color{blue}p{7,1|f}(d{\rm r}, d{\rm l})\color{black}V{\rm M} + \color{blue}p{7,2|f}(d{\rm r}, d{\rm l})\color{black} * e^{-\color{blue}p{7,3|f}(d{\rm r}, d_{\rm l})\color{black}V_{\rm M}}$

$p8(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{8,0|f}(d{\rm r}, d{\rm l})\color{black} + \color{blue}p{8,1|f}(d{\rm r}, d{\rm l})\color{black}*V_{\rm M}$

$p9(V{\rm M}, d{\rm r}, d{\rm l}) = 0$

$p{10}(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{10,0|f}(d{\rm r}, d{\rm l})\color{black} + \color{blue}p{10,1|f}(d{\rm r}, d{\rm l})\color{black}V{\rm M} + \color{blue}p{10,2|f}(d{\rm r}, d{\rm l})\color{black}V_{\rm M}^2$

$p{11}(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{11,0|f}(d{\rm r}, d{\rm l})\color{black} + \color{blue}p{11,1|f}(d{\rm r}, d{\rm l})\color{black}V{\rm M} + \color{blue}p{11,2|f}(d{\rm r}, d{\rm l})\color{black}V_{\rm M}^2$

Applied Voltage VM<0

$p1(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{1,0|f}(d{\rm r}, d{\rm l})\color{black}\frac{\color{blue}p{1,1|f}(d{\rm r}, d{\rm l})\color{black}V{\rm M} + \color{blue}p{1,2|f}(d{\rm r}, d{\rm l})\color{black} * V{\rm M}^2}{1 + \color{blue}p{1,3|f}(d{\rm r}, d{\rm l})\color{black}V{\rm M} + \color{blue}p{1,4|f}(d{\rm r}, d{\rm l})\color{black} * V_{\rm M}^2}$

$p2(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{2,0|f}(d{\rm r}, d_{\rm l})\color{black}$

$p3(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{3,0|f}(d{\rm r}, d{\rm l})\color{black} + \color{blue}p{3,1|f}(d{\rm r}, d{\rm l})\color{black}*V_{\rm M}$

$p4(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{4,0|f}(d{\rm r}, d{\rm l})\color{black} - \color{blue}p{4,1|f}(d{\rm r}, d{\rm l})\color{black} * e^{-\color{blue}p{4,2|f}(d{\rm r}, d{\rm l})\color{black}*V{\rm M}}$

$p5(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{5,0|f}(d{\rm r}, d{\rm l})\color{black} + \color{blue}p{5,1|f}(d{\rm r}, d{\rm l})\color{black}V{\rm M} + \color{blue}p{5,2|f}(d{\rm r}, d{\rm l})\color{black}V_{\rm M}^2$

$p6(V{\rm M}, d{\rm r}, d{\rm l}) = 1$

$p7(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{7,0|f}(d{\rm r}, d_{\rm l})\color{black}$

$p8(V{\rm M}, d{\rm r}, d{\rm l}) = 1$

$p9(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{9,0|f}(d{\rm r}, d{\rm l})\color{black} + \frac{\color{blue}p{9,1|f}(d{\rm r}, d{\rm l})\color{black} - \color{blue}p{9,0|f}(d{\rm r}, d{\rm l})\color{black}}{1 + e^{\frac{V{\rm M}-\color{blue}p{9,2|f}(d{\rm r}, d{\rm l})\color{black}}{\color{blue}p{9,3|f}(d{\rm r}, d{\rm l})\color{black}}}}$

$p{10}(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{10,0|f}(d{\rm r}, d{\rm l})\color{black} + \frac{\color{blue}p{10,1|f}(d{\rm r}, d{\rm l})\color{black} - \color{blue}p{10,0|f}(d{\rm r}, d{\rm l})\color{black}}{1 + e^{\frac{V{\rm M}-\color{blue}p{10,2|f}(d{\rm r}, d{\rm l})\color{black}}{\color{blue}p{10,3|f}(d{\rm r}, d{\rm l})\color{black}}}}$

$p{11}(V{\rm M}, d{\rm r}, d{\rm l}) = \color{blue}p{11,0|f}(d{\rm r}, d{\rm l})\color{black} + \frac{\color{blue}p{11,1|f}(d{\rm r}, d{\rm l})\color{black} - \color{blue}p{11,0|f}(d{\rm r}, d{\rm l})\color{black}}{1 + e^{\frac{V{\rm M}-\color{blue}p{11,2|f}(d{\rm r}, d{\rm l})\color{black}}{\color{blue}p{11,3|f}(d{\rm r}, d{\rm l})\color{black}}}}$

$p_{i,j|f}$ functions

Applied Voltage VM>0

$p{5,1|f}(d{\rm r}, d{\rm l}) = p{5,0|f}(d{\rm r}, d{\rm l})$

$p{5,1|f}(d{\rm r}, d{\rm l}) = p{5,1} + D{p{5,1,r}}d{\rm r} + D{p_{5,1,l}}d_{\rm l}$

$p{5,2|f}(d{\rm r}, d{\rm l}) = p{5,2}$

$p{6,0|f}(d{\rm r}, d{\rm l}) = p{6,0} + D{p{6,0,r}}*d_{\rm r}$

$p{6,1|f}(d{\rm r}, d{\rm l}) = p{6,1}$

$p{7,0|f}(d{\rm r}, d{\rm l}) = p{7,0} + D{p{7,0,r}}d{\rm r} + D{p_{7,0,r2}}d{\rm r}^2 + D{p{7,0,l}}*d{\rm l}$

$p{7,1|f}(d{\rm r}, d{\rm l}) = p{7,1}$

$p{7,2|f}(d{\rm r}, d{\rm l}) = p{7,2} + D{p{7,2,r}}d{\rm r} + D{p_{7,2,r2}}d{\rm r}^2 + (D{p{7,2,l}} + D{p{7,2,l,r}}*d{\rm r} + D{p{7,2,l,r2}}*d{\rm r}^2) * d{\rm l}$

$p{7,3|f}(d{\rm r}, d{\rm l}) = p{7,3}$

$p{8,0|f}(d{\rm r}, d{\rm l}) = p{8,0} + D{p{8,0,l}}*d_{\rm l}$

$p{8,1|f}(d{\rm r}, d{\rm l}) = p{8,1}$

$p{10,0|f}(d{\rm r}, d{\rm l}) = p{10,0} + D{p{10,0,l}}*d_{\rm l}$

$p{10,1|f}(d{\rm r}, d{\rm l}) = p{10,1}$

$p{10,2|f}(d{\rm r}, d{\rm l}) = p{10,2}$

$p{11,0|f}(d{\rm r}, d{\rm l}) = p{11,0} + D{p{11,0,l}}*d_{\rm l}$

$p{11,1|f}(d{\rm r}, d{\rm l}) = p{11,1}$

$p{11,2|f}(d{\rm r}, d{\rm l}) = p{11,2}$

Applied Voltage VM<0

$p{1,0|f}(d{\rm r}, d{\rm l}) = p{1,0} + D{p{1,0,r}}d{\rm r} + D{p_{1,0,l}}d_{\rm l}$

$p{1,1|f}(d{\rm r}, d{\rm l}) = p{1,1} + D{p{1,1,r}}d{\rm r} + D{p_{1,1,l}}d_{\rm l}$

$p{1,2|f}(d{\rm r}, d{\rm l}) = p{1,2} + D{p{1,2,r}}d{\rm r} + D{p_{1,2,l}}d_{\rm l}$

$p{1,3|f}(d{\rm r}, d{\rm l}) = p{1,3} + D{p{1,3,r}}d{\rm r} + D{p_{1,3,l}}d_{\rm l}$

$p{1,4|f}(d{\rm r}, d{\rm l}) = p{1,4} + D{p{1,4,r}}d{\rm r} + D{p_{1,4,l}}d_{\rm l}$

$p{2,0|f}(d{\rm r}, d{\rm l}) = p{2,0}$

$p{3,0|f}(d{\rm r}, d{\rm l}) = p{3,0} + D{p{3,0,r}}d{\rm r} + D{p_{3,0,l}}d_{\rm l}$

$p{3,1|f}(d{\rm r}, d{\rm l}) = p{3,1} + D{p{3,1,r}}d{\rm r} + D{p_{3,1,l}}d_{\rm l}$

$p{4,0|f}(d{\rm r}, d{\rm l}) = p{4,0}$

$p{4,1|f}(d{\rm r}, d{\rm l}) = p{4,1} + D{p{4,1,r}}d{\rm r} + D{p_{4,1,l}}d_{\rm l}$

$p{4,2|f}(d{\rm r}, d{\rm l}) = p{4,2}$

$p{5,0|f}(d{\rm r}, d_{\rm l}) = 0$

$p{5,1|f}(d{\rm r}, d{\rm l}) = p{5,1} + D{p{5,1,r}}d{\rm r} + D{p_{5,1,l}}d_{\rm l}$

$p{5,2|f}(d{\rm r}, d{\rm l}) = p{5,2} + D{p{5,2,r}}d{\rm r} + D{p_{5,2,r2}}d_{\rm r}^2$

$p{7,0|f}(d{\rm r}, d{\rm l}) = p{7,0} + D{p{7,0,r}}d{\rm r} + D{p_{7,0,l}}d_{\rm l}$

$p{9,0|f}(d{\rm r}, d{\rm l}) = p{9,0} + D{p{9,0,r}}d{\rm r} + D{p_{9,0,l}}d_{\rm l}$

$p{9,1|f}(d{\rm r}, d{\rm l}) = p{9,1}$

$p{9,2|f}(d{\rm r}, d{\rm l}) = p{9,2}$

$p{9,3|f}(d{\rm r}, d{\rm l}) = p{9,3} + D{p{9,3,r}}*d_{\rm r}$

$p{10,0|f}(d{\rm r}, d{\rm l}) = p{10,0}$

$p{10,1|f}(d{\rm r}, d{\rm l}) = p{10,1} + D{p{10,1,r}}*d_{\rm r}$

$p{10,2|f}(d{\rm r}, d{\rm l}) = p{10,2}$

$p{10,3|f}(d{\rm r}, d{\rm l}) = p{10,3}$

$p{11,0|f}(d{\rm r}, d{\rm l}) = p{11,0} + D{p{11,0,r}}*d_{\rm r}$

$p{11,1|f}(d{\rm r}, d{\rm l}) = p{11,1}$

$p{11,2|f}(d{\rm r}, d{\rm l}) = p{11,2}$

$p{11,3|f}(d{\rm r}, d{\rm l}) = p{11,3}$

Fitting parameter values

Applied Voltage VM>0

Parameter Vm d_r d_l
p1 0
p2 0
p3 0
p4 1
p5 p5,1=1.3769e-03
p5,2=8.1819e-02 		Dp5,1,r=2.3087e-04 Dp5,1,l=1.3293e-07
p6 p6,0=1.9687e-01
p6,1=-2.1833e-02 		Dp6,0,r=2.6129e-02
p7 p7,0=-9.7606e+01
p7,1=7.8250e+00
p7,2=9.9296e+01
p7,3=7.1092e-02 		Dp7,0,r=-7.4338e-01
Dp7,0,r2=1.1713e-01
Dp7,2,r=6.9547e-01
Dp7,2,r2=-1.3724e-01
Dp7,2,l,r=-9.0456e-03
Dp7,2,l,r2=-1.2221e-03 		Dp7,0,l=2.4377e+00
Dp7,2,l=-2.3728e+00
p8 p8,0=1.1713e-01
p8,1=8.1370e-02 		Dp8,0,l=-3.8320e-03
p9 0
p10 p10,0=9.7733e-01
p10,1=3.5214e-02
p10,2=1.2856e-02 		Dp10,0,l=5.9623e-05
p11 p11,0=9.4207e-01
p11,1=3.8953e-02
p11,2=2.3436e-02 		Dp11,0,l=-6.7239e-04

Applied Voltage VM<0

Parameter Vm d_r d_l
p1 p1,0=1.1830e+00
p1,1=-2.7034e-03
p1,2=-4.5379e-06
p1,3=9.9115e-01
p1,4=4.4093e-01 		Dp1,0,r=-6.2246e-02
Dp1,1,r=-1.8077e-04
Dp1,2,r=1.7313e-04
Dp1,3,r=5.7155e-03
Dp1,4,r=-9.7198e-04 		Dp1,0,l=1.1419e-01
Dp1,1,l=-2.0831e-04
Dp1,2,l=-8.9677e-05
Dp1,3,l=-2.3237e-02
Dp1,4,l=-1.8507e-03
p2 -2.5955e+03
p3 p3,0=6.8845e+00
p3,1=-5.8995e-01 		Dp3,0,r=1.2536e-01
Dp3,1,r=6.5498e-02 		Dp3,0,l=2.5983e-01
Dp3,1,l=8.5666e-02
p4 p4,0=2.5890e+03
p4,1=-2.9537e+00
p4,2=-5.4031e-01 		Dp4,1,r=8.2522e-02 Dp4,1,l=-7.2255e-02
p5 p5,0=0
p5,1=6.4705e-04
p5,2=5.1529e-05 		Dp5,1,r=1.5169e-05
Dp5,2,r=6.7042e-07
Dp5,2,r2=1.0756e-06 		Dp5,1,l=1.3260e-06
p6 1
p7 1.1708e-01 Dp7,0,r=4.8662e-04 Dp7,0,l=3.7351e-03
p8 1
p9 p9,0=3.9052e+00
p9,1=9.6130e+00
p9,2=-4.5637e-01
p9,3=1.4310e+00 		Dp9,0,r=-5.4723e-01
Dp9,3,r=3.6000e-01 		Dp9,0,l=3.6802e-02
p10 p10,0=4.6925e-01
p10,1=3.4731e+00
p10,2=-1.1871e+00
p10,3=5.6947e-01 		Dp10,1,r=1.1444e-02
p11 p11,0=1.0667e+01
p11,1=1.2812e-01
p11,2=7.4414e-01
p11,3=4.2381e-01 		Dp11,0,r=3.6290e-01

Owner

  • Name: Vasileios Ntinas
  • Login: vntinas
  • Kind: user

Citation (CITATION.cff) 

cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
- family-names: Ntinas
  given-names: Vasileios
  orcid: https://orcid.org/0000-0002-2367-5567
title: "JART-TUD_VCM_memristor_model"
version: 0.1.0
date-released: 2023-02-18
url: "https://github.com/vntinas/JART-TUD_VCM_memristor_model"
preferred-citation:
  type: conference-paper
  authors:
  - family-names: "Ntinas"
    given-names: "Vasileios"
    orcid: "https://orcid.org/0000-0002-2367-5567"
  - family-names: "Patel"
    given-names: "Dharmik"
  - family-names: "Wang"
    given-names: "Yongmin"
  - family-names: "Messaris"
    given-names: "Ioannis"
  - family-names: "Rana"
    given-names: "Vikas"
  - family-names: "Menzel"
    given-names: "Stephan"
  - family-names: "Ascoli"
    given-names: "Alon"
  - family-names: "Tetzlaff"
    given-names: "Ronald"
  doi: "10.1109/SMACD58065.2023.10192107"
  booktitle: "2023 19th International Conference on Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design (SMACD)"
  month: 7
  title: "A Simplified Variability-Aware VCM Memristor Model for Efficient Circuit Simulation"
  year: 2023

GitHub Events

Total
  • Watch event: 1
Last Year
  • Watch event: 1