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� à 3 � � à � � îà � à "z�dnX7}DU�`�ca^*u []T7U Ftdnb7P*y Pji �N[]T7U�wnUDX7bN[]T ^N`�U oN})T1�&oNc�dn\ � à oNX7p�[]T7U0}D^*u1v7caUD\a\ad.�*U_wn^�oNpdnX�U oN})T��&oNc0dn\ � à b*d.�*UDX���e��

/?y Pj�>7 � Ã 3� �

i�}D^*\� � � Ã 3� � = �i�}D^*\� �

[]T7UDX(�7`�ca^*u /?y P y875� /?y Pj�>7

/?y P �87 � à 3 à � î ÃO�� � î à � � à 3 � � = �i�}D^*\�� "

�_^N[]U�`�ca^*u /?y Pj�>7�[]T&o�[�[]T7U$Ah�YBmi�\,[]ca|7}Z[]|7caU(��dQ[]T{X7^�U s�[]UDcaX&oNw=`�^*ca}DU � oNX7p{[]UDX7\adn^*X= � 3 � �hdnX�[]T7U T7^*cadn�D^*X�[)oNwF\,[]cadnX7b � v7w oN}DUD\�U �*UDc,e�u1UDu �FUDcW^N`:[]T7Um\,[]ca|7}Z[]|7caUh|7X7p7UDc[]T7U \]oNu1U wn^�oNp�oN\�o�Ah�YB$O \,[]ca|7}Z[]|7caU0/ ��T7dn})T�T&oN\0X7^ T7^*cadn�D^*X�[)oNw�\,[]cadnX7b(7���dQ[]T�oNXU s�[]UDcaX&oNwKwn^�oNp � 3 � ��P IfX��F^N[]T�} oN\aUD\ � à 3 ��î � � � Pz�^*w.��dnX7b `�^*c�[]T7Uhu�oN\a\0c]o�[]dn^ � `�ca^*u /?y P �87

/?y Pjx>7 � à �3 � � � � � 3 � � �

� � � O�� �

�i�}D^*\ � � � C>F&^*c \aw oN}:93[]UDX7p7^*X"= ��3 5!��X7^N[]U []T&o�[ � à ��O�dQ` � ��}D^*\ à / Ãî 7 C} 3�iN�!" �=x*x P ��`}D^*|7ca\aU ��dnX�[]T7U�\aw oN}:9 } oN\aU-/ ��T7UDX = � 36587 ��^*X7U�u1dnb*T�[�caUZ`�UDc�[]^�Ftdnb7P�y Pji oN\(o Ah�YB$O\,[]ca|7}Z[]|7caU �&oNX7p �WUm��dnwnwF|7\aUm[]T7dn\Wp7UD\adnb*X&o�[]dn^*X�[]^ p7UD\a}Dcadn�FUm[]T7Um\,e�\,[]UDu�^N`&Ftdnb7P y Pji��T7UDX>= �1dn\m\aw oN}:9 P�IfX7}DcaU oN\adnX7b�v7caUZ[]UDX7\adn^*X dnX = ��[]^�b*UDX7UDc]o�[]U []T7U�X7^*X��f\aw oN}:9r} oN\aU} oNX��FU U s7oNu1dnX7UDp�w o�[]UDcDP�R0T7U$caUD\a|7wQ[]\_oNcaU \a|7u1u�oNcadn�DUDp�oN\0`�^*wnwn^H��\D�

�$G!I S�IR% - E - IFC @�� ����� � � �'* � � ����� � ��� ���� ���������� = ��365�� � � �� � ������� ���������� ����

� � � � � � '� ���� ������� �����Ah�YB$O� ��� �� � ����9 � �; �� � � � �� ��� �� � � ���'* � ��� ���� � � ��� � � � ���� � ��� ��������� ���� ��� � � � � � ���:9 � �; -�� �<�/! �E���� � ���� � � � ���

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� @ " ����� � @� @RtoN�7wnU�O*P(��ca^*vFUDc,[]dnUD\0^N`�[]T7U�Ah�YB$O{z=[]ca|7}Z[]|7caU

F&^*c�U s7oNu1v7wnU �*��T7UDX ��3 O�5 � ��[]T7U,Ah�YB$O�caU��=|7dncaUD\(^*X7wQe1xNy!"j��� ^N`�[]T7U�u�oN\a\(^N`�[]T7U�&oNc0[]^ caUD\adn\,[�[]T7Uh\]oNu1U }D^*u1v7caUD\a\ad.�*Uh`�^*ca}DUNPR0T7U�p&o�[)o�dnX�RtoN�7wnU�O�oNcaU1}D^*u1v7| []UDp�`�ca^*u�[]T7U `�^*wnwn^H��dnX7b�caUDw o�[]dn^*X7\aT7dnv7\m`�^*ch[]T7UAh�YB$Oh\,[]ca|7}Z[]|7caUNP(R0T7Uhc]oNp7dn|7\0^N`tU oN})Tr�&oNc0dnX�[]T7U�Ah�YB$Oh\,e�\,[]UDu�dn\ � Ã

� îà 3 � Ã� � à � � à 3 � � i�}D^*\�� � ��� � � i�}D^*\ � � �

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~�wn\a^� Ã� Ã3 � � /2��}D^*\

� �Y7 C|i � � }D^*\� 3 � �

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� ��� � � � �� � � � � ! �������� �"!�#$�&% � � � � ����!���� � # �"�

IfXh[]T7dn\:\aUD}Z[]dn^*Xh�WU(p7UDcad.�*U(U��=|&o�[]dn^*X7\K[]T&o�[�p7UD\a}Dcadn�FU�[]T7U�\,[]dQ��X7UD\a\�^N` []T7U$Ah�YBmi0��w o!�X&oNc_R�UDX7\aUDb*cadQ[fe�|7X7p7UDc�}D^*u1v7caUD\a\ad.�*U wn^�oNp7\DP���caUZ[]UDX7\adn^*Xr�W^*|7wnpr\aUDc �*U{[]^�dnX7}DcaU oN\aU[]T7U caUD\,[]^*cadnX7b�`�^*ca}DU dnX []T7U�\,[]cadnX7b ��oNwnwn^H��dnX7b�b*caU o�[]UDc{wn^�oNp7\$[]^3�FU�oNv7v7wndnUDp���dQ[]T\au�oNwnwnUDc{p7UZ`�^*cau�o�[]dn^*X7\DP R0T7dn\ dn\ }DwnU oNcawQe�\aT7^H��X dnX�[]T7U `�^*ca}DU��&oNw oNX7}DU�U��=|&o�[]dn^*X/?y Pj�>7 ����T7UDcaUhv7caUZ[]UDX7\adn^*X�} oNX��FUhoNv7v7wndnUDp []T7ca^*|7b*T�[]T7U |7\aU ^N`�[]T7U caUD\,[�wnUDX7bN[]T � � �^N`�[]T7U_\,[]cadnX7b ��oNX7p = � 3 ���(/ � � ' � � � 7 ����T7UDcaU ����dn\�[]T7U_\,[]dQ��X7UD\a\W^N`�[]T7U_T7^*cadn�D^*X�[)oNw\,[]cadnX7b7P

IRQTS�G # %N% - 9R# � E -�� C # %N% �# G - 9 E - IFC

F&ca^*u Ftdnb7P7y Pji � []T7UhU��=|7dnwndn�7cadn|7u }D^*X Y&b*|7c]o�[]dn^*X�} oNX��FUhU s v7caUD\a\aUDp oN\

/?y P �87 � 3 = }D^N[� ' = ��3 ��� / � � ' � � 7 � �� � ' = ��3 ��� � O ' � �� � � � � ' = � �

��T7UDcaU = � � � � � ��oNX7p � � oNcaUh[]T7Uh[]UDX7\adn^*X(� wnUDX7bN[]T�^N`t[]T7U$\,[]ca|7}Z[]|7caU �FwnUDX7bN[]T�^N`t[]T7U\,[]cadnX7b�oNX7p3[]T7U caUD\,[hwnUDX7bN[]T3^N`�[]T7U-�*UDc,[]dn} oNwt\,[]cadnX7b ��caUD\avFUD}Z[]d.�*UDwQe*PhR0T7U�wnUDX7bN[]T3^N`[]T7Uh\,[]cadnX7b } oNX��FUm��cadQ[a[]UDXroN\

� î� 3 � � î à ' � î� ���T7UDcaU � à p7UDX7^N[]UD\�[]T7U�wnUDX7bN[]T�^N`_^*X7U��&oNcDP R0T7dn\�caUDw o�[]dn^*X \adnu1v7wndQY&UD\$[]T7U�`�^*ca}DU�&oNw oNX7}DU U��=|&o�[]dn^*X�[]^

/?y P �87 � 3 ����O ' � �� � � î à ' � î� � � � ' ���(/ � � ' � � � 7 "

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/?y PQO!i>7 � î 3 �� ���î� îî

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0.2

0.4

0.6

0.8

1

1.2

1.4

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Fo

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/?y PQO��87 � � î� � � � 3 /�i�}D^*\�Y7 ��

/?y PQO!x>7 � î� Ã3 /�i�}D^*\�Y7 Ã

/?y PQO��87 � î� � 3 /�i�}D^*\�Y7 î

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10−3

10−2

10−1

100

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Length L

Sti

ffn

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K (

k v)

δ0 = 8o

δ0 = 11o

δ0 = 14o

δ0 = 17o

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10−2

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ffn

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K(k

v)

δ0 = 8o

δ0 = 11o

δ0 = 14o

δ0 = 17o

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/?y PjiY587 � � î� � � � 3�� � î� � �

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Number of iteration i

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Number of iteration i

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