Manual.dvi MANUAL

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∗

∗

OppDiv =e

− N

P

i=1

filn(fi)!

fi=ni/N N ni

i

±

±

± ±

+∞ −∞

+∞

±

e−βEiNa

Nb

Na

Nb

=e−βEa

e−βEb=e−β(Ea−Eb)

β

fb,a

fb,a =Nb

Na+Nb

=1

1 + e−β(Ea−Eb)

R Ra=−Ea

fb,a

fb,a =1

1 + e−β(Rb−Ra)

Px

x

f

Px=fx,opp(1) +fx,opp(2) +... +fx,opp(n)=

n

X

i=1

fx,opp(i)

n x opp(i)

i

Px=

n

X

i=1

1

1 + e−β(Rx−Ropp(i))

R

PxOxx

x R U

m j

U=

m

X

j=1

(Pj−Oj)2

U

β

→ → →

→ →

Wadv

Wp

We

E= (Wp−We)2

Wadv E

We=

n

X

i=1

Expectancy(RWi+Wadv , RBi)

n RWiRBii

Expectancy

We=

n

X

i=1

1

1 + e−β(RWi+Wadv −RBi)

E= Wp−

n

X

i=1

1

1 + e−β(RWi+Wadv−RBi)!2

Wadv E Wadv

Wadv

Deq

∆R Deq Deq

E=

M

X

m=1

(Dm−NmDexp(∆Rm+Wadv , Deq))2

E Deq m M

Nmm∆Rm

DmWadv

Dexp ∆R Deq

Dexp E

Dexp

p Deq ∆R p

D δ

1 = W+D+L

W D L

1 = 2 W+D

e−βEiRi=−Ei

D

W=eβRD

eβRW=eβ(RD−RW)=eβδ

1 = eβδW+ 2W

W=1

eβδ + 2

Deq

δ

D=Deq = 1 −2

eβδ + 2 =eβδ

eβδ + 2

p Deq

p

p=W+D/2; W=p−D/2

Deq

δ

1−Deq

2Deq

=e−βδ

e−βδ =φ

1−Deq

2Deq

=φ

Deq RWRLRWRLδ

RWRL

Ravg =RW−RL

2;x=RW−Ravg =Ravg −RL

W/D =eβ(x−δ)=eβxe−βδ

D/L =eβ(x+δ)=eβx/e−βδ

e−βδ =φ

W/D =eβxφ;D/L =eβx/φ

W

D

L

D=φ2;L=φ2D2

W

0 = W2+DW −W+φ2D2

0 = (p−D/2)2+D(p−D/2) −(p−D/2) + φ2D2

0 = (4φ2−1)D2+ 2D+ 4(p2−p)

0 = 1−Deq

Deq 2

−1!D2+ 2D+ 4(p2−p)

D

p

Deq

D2=φ−2W(1 −W−D)

D=ν√W L

ν=φ−2L= 1 −W−D

φ

D2=2Deq

1−Deq 2

W(1 −W−D)

W Deq

Deq

Dobs

Dexp

E= (Dobs −Dexp)2

Deq E

Dexp =

n

X

i=1

Di

n Dii

Di

Di=−1 + q1−4(p2

i−pi)(4(1−Deq

2Deq )2−1)

4(1−Deq

2Deq )2−1

pi

pi=1

1 + e−β(RWi+Wadv−RBi)

RWiRBii Deq

piDiDexp E

Deq E

Deq Deq

Wadv