✦ LIBER ✦

Equipartition and virial theorems within general thermostatistical formalisms

✍ Scribed by A.R. Plastino; J.A.S. Lima

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 78 KB
Volume: 260
Category: Article
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00495-8

No coin nor oath required. For personal study only.

✦ Synopsis

The energy equipartition and virial theorems are discussed within general thermostatistical formalisms. Appropriate forms for these theorems reducing to the standard ones in the case of the Boltzmann-Gibbs approach are derived. As a general result, the equation of state for an ideal gas is modified even in the absence of interactions. As a bonus, we deduce a universal relation involving mean values which can be verified by any thermostatistical approach.

📜 SIMILAR VOLUMES

Pointwise and generalized virial theorem

Pointwise and generalized virial theorems

✍ Mel Levy 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 92 KB

On the generalized virial theorem and Es

On the generalized virial theorem and Eshelby tensors

✍ Jean-François Ganghoffer 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 304 KB

The formal relationships between the scalar and tensorial virials and Eshelby tensors have been presently investigated. The key idea is to evaluate the Eshelby stress from discrete or atomistic simulations for a structured body, conceived as a numerical homogenization method to reconstitute the macr

Generalized surface virial theorem and o

Generalized surface virial theorem and other sum rules for the jellium model of half-space and quarter-space solids. surface stress theorem and surface-edge theorem

✍ P. Ziesche; R. Kaschner 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 262 KB

Partitioning of the Hamiltonian operator

Partitioning of the Hamiltonian operator in the lie algebra formalism. Applications to the generalized brillouin theorem and the open-shell Hartree-Fock approximation

✍ Jaroslav Koutecký; Carsten Scheuch 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 496 KB

## Abstract The Born‐Oppenheimer spin‐conserving Hamiltonian operator expressed in terms of the Lie algebra generators is partitioned according to the number of connected lines in the corresponding graphical representation. A simple derivation of some basic relations with the generalized Brillouin