Additive generalization of the Boltzmann entropy.

نویسندگان

  • Alexander N Gorban
  • Iliya V Karlin
  • Hans Christian Ottinger
چکیده

There exists a unique extension of the classical Boltzmann entropy functional to a one-parametric family of additive trace-form entropy functionals. We find the analytical solution to the corresponding deformation of the classical ensembles, and present an example of the deformation of the uncorrelated state caused by finiteness of the number of particles.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 67 6 Pt 2  شماره 

صفحات  -

تاریخ انتشار 2003