Singular behavior of fluctuations in a relaxation process
Carrying out explicitly the computation in a paradigmatic model of non-interacting systems, the Gaussian model, we show the existence of a singular point in the probability distribution P(M) of an extensive variable M. Interpreting P(M) as a thermodynamic potential of a dual system obtained from the...
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| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/99672 http://hdl.handle.net/10220/25670 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | Carrying out explicitly the computation in a paradigmatic model of non-interacting systems, the Gaussian model, we show the existence of a singular point in the probability distribution P(M) of an extensive variable M. Interpreting P(M) as a thermodynamic potential of a dual system obtained from the original one by applying a constraint, we discuss how the non-analytical point of P(M) is the counterpart of a phase-transition in the companion system. We show the generality of such mechanism by considering both the system in equilibrium or in non-equilibrium state following a temperature quench. |
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