## Abstract

The nonlinear Poisson-Boltzmann (PB) equation is solved using Pseudo Transient Continuation. The PB solver is constructed by modifying the nonlinear diffusion module of a 3D, massively parallel, unstructuredgrid, finite element, radiation-hydrodynamics code. The solver also computes the electrostatic energy and evaluates the force on a user-specified contour. Either Dirichlet or mixed boundary conditions are allowed. The latter specifies surface charges, approximates far-field conditions, or linearizes conditions "regulating" the surface charge. The code may be run in either Cartesian, cylindrical, or spherical coordinates. The potential and force due to a conical probe interacting with a flat plate is computed and the result compared with direct force measurements by chemical force microscopy.

Original language | English (US) |
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Title of host publication | 2001 International Conference on Modeling and Simulation of Microsystems - MSM 2001 |

Editors | M. Laudon, B. Romanowicz |

Pages | 39-43 |

Number of pages | 5 |

State | Published - 2001 |

Externally published | Yes |

Event | 2001 International Conference on Modeling and Simulation of Microsystems - MSM 2001 - Hilton Head Island, SC, United States Duration: Mar 19 2001 → Mar 21 2001 |

### Other

Other | 2001 International Conference on Modeling and Simulation of Microsystems - MSM 2001 |
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Country/Territory | United States |

City | Hilton Head Island, SC |

Period | 3/19/01 → 3/21/01 |

## Keywords

- Chemical force microscopy
- Finite elements
- Poisson-Boltzmann
- Pseudo transient continuation

## ASJC Scopus subject areas

- Engineering(all)