Weak discontinuity waves in n-type semiconductors with defects of dislocation
In this paper a Boillat's methodology is applied to investigate discontinuity waves of a system of quasi-linear hyperbolic partial differential equations (PDEs), describing the interactions between the electronic and dislocation fields in extrinsic semiconductors with defects of dislocation....
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Peloritana dei Pericolanti
2019-12-01
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| Series: | Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| Online Access: |
http://dx.doi.org/10.1478/AAPP.97S2A8
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| _version_ | 1811344766882807808 |
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| author | Maria Paola Mazzeo Liliana Restuccia |
| author_facet | Maria Paola Mazzeo Liliana Restuccia |
| author_sort | Maria Paola Mazzeo |
| collection | DOAJ |
| description | In this paper a Boillat's methodology is applied to investigate discontinuity waves of a system of quasi-linear hyperbolic partial differential equations (PDEs), describing the interactions between the electronic and dislocation fields in extrinsic semiconductors with defects of dislocation.
The thermodynamic model for the semiconductors under consideration was deduced in previous papers, in the frame of extended irreversible thermodynamics with internal variables, but here it is assumed that these semiconductors are not polarized. The solutions of the PDEs system considered are looked for in an approximate form, presenting a jump in the first order derivatives crossing the associated wave fronts. In particular, in the one-dimensional case, we study the propagation of one solution into a uniform unperturbed state, deriving the expression of the velocity along the characteristic rays, the associated wave front equation in the first approximation and Bernoulli's equation governing the propagation of the discontinuity amplitude. |
| first_indexed | 2024-04-13T19:51:57Z |
| format | Article |
| id | doaj.art-918abb824b604c3092977e4cc04191f5 |
| institution | Directory Open Access Journal |
| issn | 0365-0359 1825-1242 |
| language | English |
| last_indexed | 2024-04-13T19:51:57Z |
| publishDate | 2019-12-01 |
| publisher | Accademia Peloritana dei Pericolanti |
| record_format | Article |
| series | Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| spelling | doaj.art-918abb824b604c3092977e4cc04191f52022-12-22T02:32:29ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422019-12-0197S2A810.1478/AAPP.97S2A8AAPP.97S2A8Weak discontinuity waves in n-type semiconductors with defects of dislocationMaria Paola MazzeoLiliana RestucciaIn this paper a Boillat's methodology is applied to investigate discontinuity waves of a system of quasi-linear hyperbolic partial differential equations (PDEs), describing the interactions between the electronic and dislocation fields in extrinsic semiconductors with defects of dislocation. The thermodynamic model for the semiconductors under consideration was deduced in previous papers, in the frame of extended irreversible thermodynamics with internal variables, but here it is assumed that these semiconductors are not polarized. The solutions of the PDEs system considered are looked for in an approximate form, presenting a jump in the first order derivatives crossing the associated wave fronts. In particular, in the one-dimensional case, we study the propagation of one solution into a uniform unperturbed state, deriving the expression of the velocity along the characteristic rays, the associated wave front equation in the first approximation and Bernoulli's equation governing the propagation of the discontinuity amplitude. http://dx.doi.org/10.1478/AAPP.97S2A8 |
| spellingShingle | Maria Paola Mazzeo Liliana Restuccia Weak discontinuity waves in n-type semiconductors with defects of dislocation Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| title | Weak discontinuity waves in n-type semiconductors with defects of dislocation |
| title_full | Weak discontinuity waves in n-type semiconductors with defects of dislocation |
| title_fullStr | Weak discontinuity waves in n-type semiconductors with defects of dislocation |
| title_full_unstemmed | Weak discontinuity waves in n-type semiconductors with defects of dislocation |
| title_short | Weak discontinuity waves in n-type semiconductors with defects of dislocation |
| title_sort | weak discontinuity waves in n type semiconductors with defects of dislocation |
| url |
http://dx.doi.org/10.1478/AAPP.97S2A8
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| work_keys_str_mv | AT mariapaolamazzeo weakdiscontinuitywavesinntypesemiconductorswithdefectsofdislocation AT lilianarestuccia weakdiscontinuitywavesinntypesemiconductorswithdefectsofdislocation |