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Physics
Classical Physics
Electromagnetism
"long-range" and "singular" electrostatic potential?
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[QUOTE="Delta2, post: 6030981, member: 189563"] Cant help you with the singular term, but about long ranged and short ranged refers to how the potential survives at long distances (large r). it is ##erfc(z)\approx 0## for large z so the potential ##\phi_i^S(r)\approx 0## is approximately zero for large r, while the long range potential is approximately ##\phi_i^L(r)\approx \frac{1}{4\pi\epsilon_0}\frac{q_i}{|r-r_i|}##. Ofcourse for very large r, ##r\to\infty## both potentials become zero. Another way to state this is that the sort ranged potential "vanishes faster" than then long ranged potential as ##r\to\infty## [/QUOTE]
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Forums
Physics
Classical Physics
Electromagnetism
"long-range" and "singular" electrostatic potential?
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