Fluctuations, classical activation, quantum tunneling, and phase transitions
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876451712871432192 |
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| author | D. L. Stein |
| author_facet | D. L. Stein |
| contents | Fluctuations, classical activation, quantum tunneling, and phase transitions D. L. Stein Física, Astronomía y Matemáticas We study two broad classes of physically dissimilar problems, each corresponding to stochastically drivenescape from a potential well. The first class, often used to model noise-induced order parameter reversal,comprises Ginzburg-Landau-type field theories defined on finite intervals, perturbed by thermal or other classicalspatiotemporal noise. The second class comprises systems in which a single degree of freedom is perturbed byboth thermal and quantum noise. Each class possesses a transition in its escape behavior, at a critical value ofinterval length and temperature, respectively. It is shown that there exists a mapping from one class of problemsto the other, and that their respective transitions can be understood within a unified theoretical context. Weconsider two applications within the first class: thermally induced breakup of monovalent metallic nanowires,and stochastic reversal of magnetization in thin ferromagnetic annuli. Finally, we explore the depth of theanalogy between the two classes of problems, and discuss to what extent each case exhibits the characteristicsigns of critical behavior at a sharp second-order phase transition. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435207 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.35 |
| format | Artículo científico |
| id | redalyc_46435207 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Fluctuations, classical activation, quantum tunneling, and phase transitions D. L. Stein Física, Astronomía y Matemáticas Fluctuations, classical activation, quantum tunneling, and phase transitions D. L. Stein Física, Astronomía y Matemáticas We study two broad classes of physically dissimilar problems, each corresponding to stochastically drivenescape from a potential well. The first class, often used to model noise-induced order parameter reversal,comprises Ginzburg-Landau-type field theories defined on finite intervals, perturbed by thermal or other classicalspatiotemporal noise. The second class comprises systems in which a single degree of freedom is perturbed byboth thermal and quantum noise. Each class possesses a transition in its escape behavior, at a critical value ofinterval length and temperature, respectively. It is shown that there exists a mapping from one class of problemsto the other, and that their respective transitions can be understood within a unified theoretical context. Weconsider two applications within the first class: thermally induced breakup of monovalent metallic nanowires,and stochastic reversal of magnetization in thin ferromagnetic annuli. Finally, we explore the depth of theanalogy between the two classes of problems, and discuss to what extent each case exhibits the characteristicsigns of critical behavior at a sharp second-order phase transition. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435207 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.35 |
| title | Fluctuations, classical activation, quantum tunneling, and phase transitions |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435207 |