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Generalized entropies from first principles

Almeida, M.P. - In: Physica A: Statistical Mechanics and its Applications 300 (2001) 3, pp. 424-432

A derivation of power law canonical distributions from first principle statistical mechanics, including the exponential distribution as a particular case is presented. It is shown that these distributions arise naturally, and that the heat capacity of the heat bath is the condition that...

Persistent link: https://www.econbiz.de/10010588528

Mixing, ergodicity and slow relaxation phenomena

Costa, I.V.L.; Vainstein, M.H.; Lapas, L.C.; Batista, A.A. - In: Physica A: Statistical Mechanics and its Applications 371 (2006) 1, pp. 130-134

Investigations on diffusion in systems with memory [I.V.L. Costa, R. Morgado, M.V.B.T. Lima, F.A. Oliveira, Europhys. Lett. 63 (2003) 173] have established a hierarchical connection between mixing, ergodicity, and the fluctuation–dissipation theorem (FDT). This hierarchy means that ergodicity...

Persistent link: https://www.econbiz.de/10010588727

Directed transport in equilibrium: A model study

Bhattacharyay, A. - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 4, pp. 1111-1119

It is generally believed that sustained directed transport in mechanical systems is not achievable under equilibrium conditions. In this article, by analyzing a simple model, we will show that directed motion under equilibrium conditions can take place and is not inconsistent with conservation...

Persistent link: https://www.econbiz.de/10010589849

An equilibrium thermostatistics of a nonextensive finite system: Canonical distribution and entropy

Jiang, J.; Wang, R.; Lysogorskii, Y.; Zvezdov, D.; … - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 11, pp. 3140-3150

A simple model is presented to illustrate the equilibrium thermostatistics of a nonentensive finite system. Interaction between the finite system and the reservoir is taken into account as a nonextensive term λH1H2 in the expression of total energy (H1 and H2 are the energy of the finite system...

Persistent link: https://www.econbiz.de/10011057732

The quarter median

Baringhaus, Ludwig; Grübel, Rudolf - In: Metrika 85 (2021) 4, pp. 419-458

We introduce and discuss a multivariate version of the classical median that is based on an equipartition property with …

Persistent link: https://www.econbiz.de/10014497608

Thermodynamic equipartition for increased second law efficiency

Thiel, Gregory P.; McGovern, Ronan K.; Zubair, Syed M.; … - In: Applied Energy 118 (2014) C, pp. 292-299

quantity, the equipartition factor. This equipartition factor, related to the variance in dimensionless driving force … throughout the system, is employed to formulate an expression for second law efficiency. Consequently, the equipartition factor … low second law efficiency and low equipartition factor will have the greatest benefit from a redesign to obtain …

Persistent link: https://www.econbiz.de/10010743631