II. Quantum Density Matrix Description of Nonextensive Systems

Rajagopal, A. K.

doi:10.1007/3-540-40919-x_2

Nonextensive Statistical Mechanics and Its Applications

2001

DOI: 10.1007/3-540-40919-x_2

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II. Quantum Density Matrix Description of Nonextensive Systems

A. K. Rajagopal

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Cited by 5 publications

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“…In the Hamiltonian above, B 0 represents the external magnetic field, and λ the molecular field parameter. Similar calculation in the context of many-particle system employing the normalized approach has been done for the quantum statistics [27,28]. Equation (3) can be written in a more convenient form in terms of β * , defined as β * ≡ β/(1 + (1 − q) βU q ) [26].…”

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confidence: 99%

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Evidences for Tsallis non-extensivity on CMR manganites

Reis¹,

Freitas²,

Orlando³

et al. 2002

Europhys. Lett.

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We found, from the analysis of M vs. T curves of some manganese oxides (manganites), that these systems do not follow the traditional Maxwell-Boltzmann statistics, but the Tsallis statistics, within the normalized formalism. Curves were calculated within the mean field approximation, for various ferromagnetic samples and the results were compared to measurements of our own and to various other authors published data, chosen at random from the literature. The agreement between the experimental data and calculated M q vs. T * curve, where T * is an effective temperature, is excellent for all the compounds. The entropic parameter, q, correlates in a simple way with the experimental value of T c , irrespect the chemical composition of the compounds, heat treatment or other details on sample preparation. Examples include q < 1 (superextensivity), q = 1 (extensivity) and q > 1 (subextensivity) cases. Manganese oxides, or simply manganites, have, to a great extent, dominated the literature on magnetism for the last five years [1]. The number of yearly published papers on the subject since 1993 to present date, amounts to over 2000. All this interest lies on at least three different reasons: (i) the rich phase diagram of manganites exhibits a variety of transport, structural and magnetic phenomena [1,2], which stimulates new models in condensed matter [3]-[14] ; (ii) manganites can present the so-called colossal magnetoresistance (CMR), and therefore are interesting systems for industrial applications [15] and, (iii) samples are relatively easy to prepare [1]. In the literature of manganites, various models have appeared in different attempts to reproduce the electric and magnetic properties of these systems. Krivoruchko et al [3], Nunez-Regueiro et al. [4] and Dionne [5] are interesting examples of multiparameter models, but which failed to achieve full agreement to experimental data. Ravindranath et al. [6]compare resistivity data in La 0.6 Y 0.1 Ca 0.3 MnO 3 to different two-parameter models which do

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confidence: 99%

“…In particular, to analyze the physical system described here, the quantity 1/k B β * ≡ T * represents a temperature scale against which this quantity M q will be compared to experimental results. A discussion about the concept of temperature and Lagrange parameters in Tsallis statistics can be found in the literature [26,27,29,30].…”

mentioning

confidence: 99%

Evidences for Tsallis non-extensivity on CMR manganites

Reis¹,

Freitas²,

Orlando³

et al. 2002

Europhys. Lett.

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show abstract

Generalized entropy composition with different q indices: An attempt☆

Sasaki

Hotta

2002

Chaos, Solitons & Fractals

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Toward Generalized Entropy Composition with DifferentqIndices and H-Theorem

Sasaki

Hotta

2000

J. Phys. Soc. Jpn.

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II. Quantum Density Matrix Description of Nonextensive Systems

Cited by 5 publications

References 29 publications

Evidences for Tsallis non-extensivity on CMR manganites

Evidences for Tsallis non-extensivity on CMR manganites

Generalized entropy composition with different q indices: An attempt☆

Toward Generalized Entropy Composition with DifferentqIndices and H-Theorem

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