Saddles in the Energy Landscape: Extensivity and Thermodynamic Formalism

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Abstract

The energy landscape approach for the thermodynamics of liquids to account for saddle points was analyzed. The scaling behavior of saddles with system size and several approximations for the properties of low-order saddles were derived by considering the extensive nature of macroscopic potential energies. The canonical partition function was casted in a saddle-explicit form. A rigorous energy landscape approach capable of reproducing trends observed in simulations, in particular, the temperature dependence of the energy and fractional order of sampled saddles was developed.

Original languageEnglish (US)
Article number035506
Pages (from-to)355061-355064
Number of pages4
JournalPhysical review letters
Volume92
Issue number3
StatePublished - Jan 23 2004

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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