Tribocharging Model

The Tribocharging contact model allows you to simulate a change of charge of particles within a material after they come into contact with a different material.

For repeated contacts, a saturation charge level is reached which is a function of both charge generation and dissipation processes. In most ESD (electrostatic discharge) problems, triboelectrification is the prime charge generation process.

You must first specify the work function. Tribocharging (triboelectric charging) will occur if the work functions of two materials differ. There will not be a charge transfer if the work functions remain the same.

The following equation is based on work by Greason (2000) and describes the change in charge:

d q d t = α q s q β q MathType@MTEF@5@5@+= feaahyart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaaca WGKbGaamyCaaqaaiaadsgacaWG0baaaiabg2da9iabeg7aHnaabmaa baGaamyCamaaBaaaleaacaWGZbaabeaakiabgkHiTiaadghaaiaawI cacaGLPaaacqGHsislcqaHYoGydaWgaaWcbaGaamyCaaqabaaaaa@45AB@

Where q is a charge of a sphere at time t, α and β are the time constants of the charge generation and dissipation respectively. α is in the range of 0.02–0.085 s-1 for polymers and in the range 0.002–0.005 s-1 for metals. β is neglected in calculations because charge dissipation through atmospheric ion impingement is slow (Hogue, et al. 2007).

And qs is a saturation charge defined as:

q s = σ A s MathType@MTEF@5@5@+= feaahyart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyCamaaBa aaleaacaWGZbaabeaakiabg2da9iabeo8aZjaadgeadaWgaaWcbaGa am4Caaqabaaaaa@3CCC@

Where σ is a surface charge density which is approximately equal to 2.66e-5 cm-2 for air standard pressure and temperature, and As is the surface area of a particle.