
On Maxwellian equilibria of insulated semiconductors
Cafarelli, Luis; Dolbeault, Jean; Markowich, Peter; Schmeiser, Christian (2000), On Maxwellian equilibria of insulated semiconductors, Interfaces and free boundaries, 2, 3, p. 331-339. http://dx.doi.org/10.4171/IFB/23
View/ Open
Type
Article accepté pour publication ou publiéDate
2000Journal name
Interfaces and free boundariesVolume
2Number
3Publisher
European Mathematical Society
Pages
331-339
Publication identifier
Metadata
Show full item recordAbstract (EN)
A semi-linear elliptic integro-differential equation subject to homogeneous Neumann boundary conditions for the equilibrium potential in an insulated semiconductor device is considered. A variational formulation gives existence and uniqueness. The limit as the scaled Debye length tends to zero is analysed. Two different cases occur. If the number of free electrons and holes is sufficiently high, local charge neutrality prevails throughout the device. Otherwise, depletion regions occur, and the limiting potential is the solution of a free boundary problem.Subjects / Keywords
Semiconductors; equilibrium; free boundary problems; charge neutralityRelated items
Showing items related by title and author.
-
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian (2007) Article accepté pour publication ou publié
-
Lederman, Claudia; Jüngel, Ansgar; Arnold, Anton; Carrillo, José A.; Desvillettes, Laurent; Dolbeault, Jean; Markowich, Peter; Toscani, Giuseppe; Villani, Cédric (2004) Article accepté pour publication ou publié
-
Arnold, Anton; Carrillo, José Antonio; Desvillettes, Laurent; Dolbeault, Jean; Jüngel, Ansgar; Lederman, Claudia; Markowich, Peter; Toscani, Giuseppe; Villani, Cédric (2004) Communication / Conférence
-
Bouin, Emeric; Dolbeault, Jean; Lafleche, Laurent; Schmeiser, Christian (2021) Article accepté pour publication ou publié
-
Nadzieja, Tadeusz; Markowich, Peter; Dolbeault, Jean; Biler, Piotr; Esteban, Maria J. (2004) Chapitre d'ouvrage