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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

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

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

Formulations and Valid Inequalities for the Node Capacitated Graph Partitioning Problem

FERREIRA, Carlos E.; MARTIN, Alexander; SOUZA, Cid C. de; … - Center for Operations Research and Econometrics (CORE), … - 1994

We investigate the problem of partitioning the nodes of a graph under capacity restriction on the sum of the node weights in each subset of the partition. The objective is to minimize the sum of the costs of the edges between the subsets of the partition. This problem has a variety of...

Persistent link: https://www.econbiz.de/10005042834