TY - JOUR

T1 - Nanowire charging in collisionless plasma

AU - Shahravan, Anaram

AU - Lucas, Chris

AU - Matsoukas, Themis

N1 - Funding Information:
This work was supported by Grant No. CBET-0651283 from the U.S. National Science Foundation.

PY - 2010/10/15

Y1 - 2010/10/15

N2 - We calculate the collision cross section of a charged finite cylinder (nanowire) with a beam of ions and electrons in collisionless plasma. We find that, while the shape and area of the cross section has complex dependence on the charge and orientation of the nanowire relative to the charged beam, its orientational average has a remarkably simple form: for attractive interactions, it is a linear function of the electrostatic ratio qj qp e2 /4π0 L0 kT, where qj e is the charge of the ions/electrons, qp e is the charge on the cylinder, L0 is the half-length of the nanowire, T is the temperature of the charged species, and0 is the permittivity of free space. This linearity persists into the repulsive regime up until the cross sectional area is reduced to about 5% of its value for neutral collisions. We calculate the corresponding charging currents and show that the charging behavior of the nanowire in Maxwellian plasma is described by an equivalent sphere whose radius depends only on the aspect ratio of the nanowire. For small aspect ratios, the equivalent sphere has the same surface area as the nanowire.

AB - We calculate the collision cross section of a charged finite cylinder (nanowire) with a beam of ions and electrons in collisionless plasma. We find that, while the shape and area of the cross section has complex dependence on the charge and orientation of the nanowire relative to the charged beam, its orientational average has a remarkably simple form: for attractive interactions, it is a linear function of the electrostatic ratio qj qp e2 /4π0 L0 kT, where qj e is the charge of the ions/electrons, qp e is the charge on the cylinder, L0 is the half-length of the nanowire, T is the temperature of the charged species, and0 is the permittivity of free space. This linearity persists into the repulsive regime up until the cross sectional area is reduced to about 5% of its value for neutral collisions. We calculate the corresponding charging currents and show that the charging behavior of the nanowire in Maxwellian plasma is described by an equivalent sphere whose radius depends only on the aspect ratio of the nanowire. For small aspect ratios, the equivalent sphere has the same surface area as the nanowire.

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U2 - 10.1063/1.3483300

DO - 10.1063/1.3483300

M3 - Article

AN - SCOPUS:78149426804

SN - 0021-8979

VL - 108

JO - Journal of Applied Physics

JF - Journal of Applied Physics

IS - 8

M1 - 083303

ER -