On the origin of fractional Shapiro steps in systems of Josephson junctions with few degrees of freedom

A. Valizadeh; M. R. Kolahchi; J. P. Straley

doi:10.2991/jnmp.2008.15.s3.39

On the origin of fractional Shapiro steps in systems of Josephson junctions with few degrees of freedom

A. Valizadeh
, M. R. Kolahchi
, J. P. Straley

Producción científica: Article › revisión exhaustiva

13 Citas (Scopus)

Resumen

We investigate the origin of fractional Shapiro steps in arrays consisting of a few overdamped Josephson junctions. We show that when the symmetry reduces the equations to that of a single junction equation, only integer steps appear. Otherwise, fractional steps will appear when the evolution equations contain second (or higher) order derivatives or non-sinusoidal terms. We make a point of distinguishing the last two possibilities in the generation of the fractional steps.

Idioma original	English
Páginas (desde-hasta)	407-416
Número de páginas	10
Publicación	Journal of Nonlinear Mathematical Physics
Volumen	15
N.º	SUPPL.3
DOI	https://doi.org/10.2991/jnmp.2008.15.s3.39
Estado	Published - oct 2008

Nota bibliográfica

Funding Information:
Acknowledgments. A V and M R K wish to thank the organizers of the NEEDS conference for their hospitality, and IASBS for a grant that made their trip possible. A V also acknowledges the grant he received from NEEDS.

Financiación

Acknowledgments. A V and M R K wish to thank the organizers of the NEEDS conference for their hospitality, and IASBS for a grant that made their trip possible. A V also acknowledges the grant he received from NEEDS.

Financiadores
Cabinet for Health and Family Services Commission for Children with Special Health Care Needs

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.2991/jnmp.2008.15.s3.39

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abstract = "We investigate the origin of fractional Shapiro steps in arrays consisting of a few overdamped Josephson junctions. We show that when the symmetry reduces the equations to that of a single junction equation, only integer steps appear. Otherwise, fractional steps will appear when the evolution equations contain second (or higher) order derivatives or non-sinusoidal terms. We make a point of distinguishing the last two possibilities in the generation of the fractional steps.",

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AU - Kolahchi, M. R.

AU - Straley, J. P.

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N2 - We investigate the origin of fractional Shapiro steps in arrays consisting of a few overdamped Josephson junctions. We show that when the symmetry reduces the equations to that of a single junction equation, only integer steps appear. Otherwise, fractional steps will appear when the evolution equations contain second (or higher) order derivatives or non-sinusoidal terms. We make a point of distinguishing the last two possibilities in the generation of the fractional steps.

AB - We investigate the origin of fractional Shapiro steps in arrays consisting of a few overdamped Josephson junctions. We show that when the symmetry reduces the equations to that of a single junction equation, only integer steps appear. Otherwise, fractional steps will appear when the evolution equations contain second (or higher) order derivatives or non-sinusoidal terms. We make a point of distinguishing the last two possibilities in the generation of the fractional steps.

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JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

IS - SUPPL.3

ER -

On the origin of fractional Shapiro steps in systems of Josephson junctions with few degrees of freedom

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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