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. for LaTeX users @article{ANGorban2003-67, author = {A. N. Gorban and I. V. Karlin and H. C. \"Ottinger}, title = {Additive generalization of the Boltzmann entropy}, journal = {Phys. Rev. E}, volume = {67}, pages = {067104}, year = {2003} }
\bibitem{ANGorban2003-67} A.N. Gorban, I.V. Karlin, H.C. \"Ottinger, Additive generalization of the Boltzmann entropy, Phys. Rev. E {\bf 67} (2003) 067104 (4 pages).ANGorban2003-67 A.N. Gorban, I.V. Karlin, H.C. \"Ottinger Additive generalization of the Boltzmann entropy Phys. Rev. E,67,2003,067104 (4 pages) |