Constantino Tsallis

Constantino Tsallis
Constantino Tsallis
Born 1943
Athens, Greece
Residence Rio de Janeiro, Brazil
Citizenship Brazilian
Nationality Greek
Fields Theoretical physics
Institutions Centro Brasileiro de Pesquisas Físicas
(Brazilian Physics Research Center)
Alma mater University of Paris-Orsay
Known for Tsallis entropy and Tsallis statistics
Notable awards Member, Brazilian Academy of Sciences

Constantino Tsallis (Greek: Κωνσταντίνος Τσάλλης; b. 1943) is a naturalized Brazilian physicist working in Rio de Janeiro at CBPF, Brazil. He was born in Greece, and grew up in Argentina, where he studied physics at Instituto Balseiro, in Bariloche. In 1974 he received a Doctorat d'Etat et Sciences Physiques degree from the University of Paris-Orsay. He moved to Brazil in 1975 with his family (his wife and daughter).

Tsallis is credited with introducing the notion of what is known as Tsallis entropy and Tsallis statistics in his 1988 seminal paper "Possible generalization of Boltzmann–Gibbs statistics" published in the Journal of Statistical Physics, vol. 52, pp. 479–487. The generalization is considered to be one of the most viable and applicable candidates for formulating a theory of non-extensive thermodynamics. The resulting theory is not intended to replace Boltzmann–Gibbs statistics, but rather supplement it, such as in the case of anomalous systems characterised by non-ergodicity or metastable states.

One of the most impressive experimental verifications of the predictions of q-statistics concerns cold atoms in dissipative optical lattices. Eric Lutz made an analytical prediction in 2003 which was verified in 2006 by a London team.

Tsallis conjectured in 1999 (Brazilian Journal of Physics 29, 1; Figure 4):

  1. That a longstanding quasi-stationary state (QSS) was expected in LONG-range interacting Hamiltonian systems (one of the core problems of statistical mechanics). This was quickly verified by many groups around the world.
  2. That this QSS should be described by q-statistics instead of Boltzmann–Gibbs statistics. This was verifed in June 2007 by Pluchino, Rapisarda and Tsallis (in the last figure, instead of the celebrated Maxwellian (Gaussian) distribution of velocities (valid for SHORT-range interactions), one sees a q-Gaussian).

These results establish that the q-entropy provides verifiable predictions from first principles as a generalization of Boltzmann–Gibbs entropy for certain classes of phenomena.

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