Non-Hermiticity and Universality
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2001
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| _version_ | 1866909423712075776 |
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| author | Shukla, Pragya |
| author_facet | Shukla, Pragya |
| contents | . We study the statistical properties of the eigenvalues of non-Hermitian operators assoicated with the dissipative complex systems. By considering the Gaussian ensembles of such operators, a hierarchical relation between the correlators is obtained. Further the eigenvalues are found to behave like particles moving on a complex plane under 2-body (inverse square) and 3-body interactions and there seems to underlie a deep connection and universality in the spectral behaviour of different complex systems. . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cond_mat_0105007 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | Non-Hermiticity and Universality Shukla, Pragya Statistical Mechanics . We study the statistical properties of the eigenvalues of non-Hermitian operators assoicated with the dissipative complex systems. By considering the Gaussian ensembles of such operators, a hierarchical relation between the correlators is obtained. Further the eigenvalues are found to behave like particles moving on a complex plane under 2-body (inverse square) and 3-body interactions and there seems to underlie a deep connection and universality in the spectral behaviour of different complex systems. . |
| title | Non-Hermiticity and Universality |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/cond-mat/0105007 |