%Model?name:?model?of?Memristor?based?on?Theoretical?formulas
%???????????this?model?was?written?by?Dmitry?Fliter?and?Keren?Talisveyberg?
%???????????Technion?Israel?institute?of?technology?EE?faculty?December?2011


model?=?1;???%?define?the?model?0?-?Linear?Ion?Drift?;?1?-?Simmons?Tunnel?Barrier;?2?-?Team?model?;?3?-?Nonlinear?Ion?Drift?model
win???=?0;???%?define?the?window?type?:??0?-?No?window;?1?-?Jogelkar?window?;?2?-?Biolek?window?;?3?-?Prodromakis?window?;?4-?Kvatinsky?window?（Team?model?only）?
iv????=?0;???%?IV_relation=0?means?linear?V=IR.?IV_relation=1?means?nonlinear?V=I*exp{..}??

%Genaral?parameters
num_of_cycles?=?20;
amp?=?0.003;
freq?=?2e6;
w_init?=?0.5;?%?the?initial?state?condition?[0:1]?
D?=?3e-09;
V_t?=?0;
P_coeff?=?2;
J?=?1;
Roff?=?2e5;
Ron?=?100;

%Linear?Ion?Drift?parameters?
uV=1e-15;????????????????????????????????%%dopants?mobility


%Simmons?Tunnel?Bariier?%?Team?parameters
a_on?=?2e-09;
a_off?=?1.2e-09;
c_on?=?40e-06;
c_off?=?3.5e-06;
alpha_on?=?3;
alpha_off?=?3;
k_on?=?-8e-13;
k_off?=?8e-13;
i_on?=?8.9e-06;
i_off?=?115e-06;
x_on?=?3e-09;
x_off?=?0;
X_c?=?107e-12;
b?=?500e-06;

%Nonlinear?Ion?Drift?parametrs
beta?=?9;
a?=?4;
c?=?0.01;
n?=?14;
q?=?13;
g?=?4;
alpha?=?7;

%%?Linear?Ion?Drift?model?

if?（model==0）??

tspan=[0?num_of_cycles/freq];???????????????????????%%time?length?of?the?simulation
points=2e5;??????????????????????????????%%number?of?sampling?points
W0=w_init*D;????????????????????????????%define?the?initial?value?of?W
tspan_vector?=?linspace（tspan（1）tspan（2）points）;?????????%?Create?vector?of?initial?values
I?=?amp*sin（freq*2*pi*tspan_vector）;???????????????????%%can?also?use?square?wave?generated?by?:?（square（tspan_vector））;
W=zeros（size（（tspan_vector）））;
W_dot=zeros（size（（tspan_vector）））;
delta_t=tspan_vector（2）-tspan_vector（1）;????????????????????????%%define?the?step?size

W（1）=W0;?????????????????????????????????????????????????%%?initiliaze?the?first?W?vetor?elemnt?to?W0?-?the?initial?condition
for?i=2:length（tspan_vector）
????%?case?this?is?an?ideal?window
????if?（（（win==0）?||?（win==4））?&&?（（abs?（I（i）））?>=?（V_t/?（Ron*W（i-1）/D+Roff*（1-W（i-1）/D）））））?
????????W_dot（i）=I（i）*（Ron*uV/D）;
????????W（i）=W（i-1）+W_dot（i）*delta_t;
????elseif?（（win==0）?&&?（（abs（I（i）））??????????W（i）=W（i-1）;
????????W_dot（i）=0;
????????
????end
????
????%?case?this?is?Jogelkar?window
????if?（（win==1）?&&?（（abs（I（i）））?>=?（V_t/（Ron*W（i-1）/D+Roff*（1-W（i-1）/D）））））
????????W_dot（i）=I（i）*（Ron*uV/D）;
????????W（i）=W（i-1）+W_dot（i）*delta_t*（1-（2*W（i-1）/D-1）^（2*P_coeff））;%%+1e-18*sign（I（i））;
????elseif?（（win==1）?&&?（（abs?（I（i））?）?????????W（i）=W（i-1）;
????????W_dot（i）=0;

????end
????
????????%?case?this?is?Biolek?window
????if?（（win==2）?&&?（（abs（I（i）））?>=?（V_t/（Ron*W（i-1）/D+Roff*（1-W（i-1）/D）））））
????????W_dot（i）=I（i）*（Ron*uV/D）;
????????W（i）=W（i-1）+W_dot（i）*delta_

?屬性????????????大小?????日期????時間???名稱
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?????文件??????10007??2012-09-18?15:38??Mem\memirstor.m

?????文件??????71307??2012-09-18?15:39??Mem\MemristorGui.m

?????文件????4769815??2012-09-18?15:41??Mem\MemristorGui.fig

?????文件?????388500??2012-09-17?17:43??Mem\Manual.pdf

?????目錄??????????0??2012-09-18?15:38??Mem

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??????????????5239629????????????????????5