Radial distribution function within the framework of the Tsallis statistical mechanics

[1]  M. Müser,et al.  Determination of accurate, mean bond lengths from radial distribution functions. , 2017, The Journal of chemical physics.

[2]  Khireddine Mebrouk,et al.  Nonextensive statistical mechanics approach to electron trapping in degenerate plasmas , 2016 .

[3]  A. Kononovicius,et al.  Stochastic dynamics of N correlated binary variables and non-extensive statistical mechanics , 2016, 1601.06968.

[4]  Ernesto P. Borges,et al.  The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics , 2015, Scientific Reports.

[5]  Kenric P. Nelson,et al.  On the average uncertainty for systems with nonlinear coupling , 2015, 1510.06951.

[6]  J. H. Cushman,et al.  Diffusive mixing and Tsallis entropy. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  J. Cleymans,et al.  Description of High-Energy $pp$ Collisions Using Tsallis Thermodynamics: Transverse Momentum and Rapidity Distributions , 2015, 1501.00953.

[8]  M. Kamalvand,et al.  How the Nonextensivity Parameter Affects Energy Fluctuations , 2014 .

[9]  Jiulin Du,et al.  The adiabatic static linear response function in nonextensive statistical mechanics , 2014, 1408.3278.

[10]  Sankaran Mahadevan,et al.  Tsallis information dimension of complex networks , 2014, ArXiv.

[11]  Rafael C. Nunes,et al.  Dark energy models through nonextensive Tsallis’ statistics , 2014, 1403.5706.

[12]  Fu-Hu Liu,et al.  Particle production in relativistic pp(p) and AA collisions at RHIC and LHC energies with Tsallis statistics using the two-cylindrical multisource thermal model , 2014, 1403.4025.

[13]  G. Bagci,et al.  Tsallis power laws and finite baths with negative heat capacity. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Jean-Pierre Hansen,et al.  Theory of Simple Liquids: with Applications to Soft Matter , 2013 .

[15]  O. Teryaev,et al.  Systematic Properties of the Tsallis Distribution: Energy Dependence of Parameters , 2013, 1302.1970.

[16]  T. Biró,et al.  Ideal gas provides q-entropy , 2012, 1211.5284.

[17]  T. Kiwata,et al.  Transition of velocity distributions in collapsing self-gravitating N-body systems. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  S. Abe,et al.  Nonextensive Statistical Mechanics and Its Applications , 2010 .

[19]  Harvey Gould,et al.  Statistical and Thermal Physics: With Computer Applications , 2010 .

[20]  M. Eliasi,et al.  Quantum vibrational partition function in the non-extensive Tsallis framework , 2010 .

[21]  H. Hasegawa Specific heat and entropy of N-body nonextensive systems. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  J. Nacher,et al.  On the construction of complex networks with optimal Tsallis entropy , 2009 .

[23]  G. Bagci,et al.  A note on the definition of deformed exponential and logarithm functions , 2009 .

[24]  Constantino Tsallis,et al.  Nonadditive entropy and nonextensive statistical mechanics - An overview after 20 years , 2009 .

[25]  C. Tsallis Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World , 2009 .

[26]  Konstantinos Drakakis,et al.  On a Closed Formula for the Derivatives of e f (x) and Related Financial Applications , 2009 .

[27]  L. M. Varela,et al.  Nonextensive statistical mechanics of ionic solutions , 2007 .

[28]  Gary P. Morriss,et al.  Statistical Mechanics of Nonequilbrium Liquids , 2007 .

[29]  H. Chamati,et al.  On the application of nonextensive statistical mechanics to the black-body radiation , 2006 .

[30]  D. Kharchenko,et al.  Evolution of a stochastic system within the framework of Tsallis statistics , 2005 .

[31]  G. L. Ferri,et al.  Equivalence of the four versions of Tsallis’s statistics , 2005, cond-mat/0503441.

[32]  G. Ali Mansoori,et al.  Principles of nanotechnology , 2005 .

[33]  B. Einarsson Conditions for negative specific heat in systems of attracting classical particles , 2004, gr-qc/0405130.

[34]  Constantino Tsallis,et al.  What should a statistical mechanics satisfy to reflect nature , 2004, cond-mat/0403012.

[35]  D. Soares,et al.  Bose-Einstein and Fermi-Dirac distributions in nonextensive Tsallis statistics: an exact study , 2003 .

[36]  R. S. Mendes,et al.  Remarks on (1−q) expansion and factorization approximation in the Tsallis nonextensive statistical mechanics , 2001, cond-mat/0111008.

[37]  I. Soares,et al.  Universality in the chaotic dynamics associated with saddle-centers critical points , 2001 .

[38]  Giorgio Kaniadakis Non-linear kinetics underlying generalized statistics , 2001, cond-mat/0103467.

[39]  M. Morikawa,et al.  Origin of scaling structure and non-Gaussian velocity distribution in a self-gravitating ring model. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[40]  Ubriaco Correlation functions in the factorization approach of nonextensive quantum statistics , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[41]  A. Plastino,et al.  Tsallis’ entropy maximization procedure revisited , 2000, physics/0003098.

[42]  U. Tirnakli,et al.  Exact and approximate results of non-extensive quantum statistics , 1999, cond-mat/9904097.

[43]  S. Abe Thermodynamic limit of a classical gas in nonextensive statistical mechanics: Negative specific heat and polytropism , 1999 .

[44]  I. Soares,et al.  Chaos and universality in the dynamics of inflationary cosmologies. II. The role of nonextensive statistics , 1999, gr-qc/9909042.

[45]  Sumiyoshi Abe,et al.  Correlation induced by Tsallis’ nonextensivity , 1999 .

[46]  Evaldo M. F. Curado,et al.  General aspects of the thermodynamical formalism , 1999 .

[47]  C. Tsallis Nonextensive statistics: theoretical, experimental and computational evidences and connections , 1999, cond-mat/9903356.

[48]  C. Tsallis,et al.  The role of constraints within generalized nonextensive statistics , 1998 .

[49]  Roberto Santos,et al.  Generalization of Shannon’s theorem for Tsallis entropy , 1997 .

[50]  S. Curilef,et al.  Tsallis-Statistical Approach to the Specific Heat of LIQUID 4HE: Comparison with Other Results , 1997 .

[51]  Sumiyoshi Abe,et al.  A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics , 1997 .

[52]  U. Tirnakli,et al.  Generalized Distribution Functions and an Alternative Approach to Generalized Planck Radiation Law , 1996, cond-mat/9611203.

[53]  Rajagopal Dynamic linear response theory for a nonextensive system based on the Tsallis prescription. , 1996, Physical review letters.

[54]  Boghosian Thermodynamic description of the relaxation of two-dimensional turbulence using Tsallis statistics. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[55]  John D. Ramshaw,et al.  Thermodynamic stability conditions for the Tsallis and Rényi entropies , 1995 .

[56]  Constantino Tsallis,et al.  Infinite-range Ising ferromagnet: Thermodynamic limit within Generalized Statistical Mechanics , 1995 .

[57]  C. Tsallis What are the Numbers that Experiments Provide , 1994 .

[58]  C. Tsallis,et al.  Generalized statistical mechanics : connection with thermodynamics , 1991 .

[59]  C. Tsallis Possible generalization of Boltzmann-Gibbs statistics , 1988 .

[60]  Joel Keizer,et al.  Statistical Thermodynamics of Nonequilibrium Processes , 1987 .