Non-analytic microscopic phase transitions and temperature oscillations in the microcanonical ensemble: An exactly solvable 1d-model for evaporation
| dc.creator | Hilbert, Stefan | |
| dc.creator | Dunkel, Jörn | |
| dc.date | 2005-11-21 | |
| dc.date | 2006-06-21 | |
| dc.date.accessioned | 2026-07-07T06:49:19Z | |
| dc.date.available | 2026-07-07T06:49:19Z | |
| dc.description | We calculate exactly both the microcanonical and canonical thermodynamic functions (TDFs) for a one-dimensional model system with piecewise constant Lennard-Jones type pair interactions. In the case of an isolated $N$-particle system, the microcanonical TDFs exhibit (N-1) singular (non-analytic) microscopic phase transitions of the formal order N/2, separating N energetically different evaporation (dissociation) states. In a suitably designed evaporation experiment, these types of phase transitions should manifest themselves in the form of pressure and temperature oscillations, indicating cooling by evaporation. In the presence of a heat bath (thermostat), such oscillations are absent, but the canonical heat capacity shows a characteristic peak, indicating the temperature-induced dissociation of the one-dimensional chain. The distribution of complex zeros (DOZ) of the canonical partition may be used to identify different degrees of dissociation in the canonical ensemble. | |
| dc.description | version accepted for publication in PRE, minor additions in the text, references added | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0511500 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0511500 | |
| dc.identifier | Phys. Rev. E 74, 011120 (2006) | |
| dc.identifier | doi:10.1103/PhysRevE.74.011120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104298 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Non-analytic microscopic phase transitions and temperature oscillations in the microcanonical ensemble: An exactly solvable 1d-model for evaporation | |
| dc.type | text |