On the fragmentation of multiply charged sodium clusters

Hidmi, H. I.; Gross, D. H. E.; Jaqaman, H.R.

doi:10.1140/epjd/e2002-00111-6

Cited by 3 publications

(1 citation statement)

References 14 publications

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“…Conversely, for short range interactions [15] the backbending is a surface effect which should disappear at the thermodynamic limit. This is the case for the Potts model [33], the microcanonical model of fragmentation of atomic clusters [66] and for the lattice gas model with fluctuating volume [49] . The interphase surface entropy goes to zero as N → ∞ in these models, leading to a linear increase of the entropy in agreement with the canonical predictions.…”

Section: Ensemble Inequivalence In Phase Transition Regionsmentioning

confidence: 98%

Phase Transitions in Finite Systems using Information Theory

Chomaz

Gulminelli²

2008

AIP Conference Proceedings

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Abstract. In this paper, we present the issues we consider as essential as far as the statistical mechanics of finite systems is concerned. In particular, we emphasis our present understanding of phase transitions in the framework of information theory. Information theory provides a thermodynamically-consistent treatment of finite, open, transient and expanding systems which are difficult problems in approaches using standard statistical ensembles.As an example, we analyze is the problem of boundary conditions, which in the framework of information theory must also be treated statistically. We recall that out of the thermodynamical limit the different ensembles are not equivalent and in particular they may lead to dramatically different equation of states, in the region of a first order phase transition. We recall the recent progresses achieved in the understanding of first-order phase transition in finite systems: the equivalence between the Yang-Lee theorem and the occurrence of bimodalities in the intensive ensemble and the presence of inverted curvatures of the thermodynamic potential of the associated extensive ensemble. We come back to the concept of order parameters and to the role of constraints on order parameters in order to predict the expected signature of first-order phase transition: in absence of any constraint (intensive ensemble) bimobality of the event distribution is expected while an inverted curvature of the thermodynamic potential is expected at a fixe value of the order parameter (extensive ensemble) in between the phases (coexistence zone). We stress that this discussion is not restricted to the possible occurrence of negative specific heat, but can also include negative compressibility's and negative susceptibilities, and in fact any curvature anomaly of the thermodynamic potential.

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Section: Ensemble Inequivalence In Phase Transition Regionsmentioning

confidence: 98%