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The Saha equation follows from thermal equilibrium of matter and radiation. We discuss this problem of equilibrium in the early universe, when matter consists mostly of electrons, protons and hydrogen atoms. Taking H-atoms in their ground…

High Energy Physics - Phenomenology · Physics 2021-04-27 Aritra Das , Ritesh Ghosh , S. Mallik

It is perhaps appropriate that, in a year marking the 90th anniversary of Meghnad Saha seminal paper (1920), new developments should call fresh attention to the problem of ionization equilibrium in gases. Ionization equilibrium is…

Statistical Mechanics · Physics 2015-05-20 V. B. Bobrov , S. A. Trigger , W. Ebeling

Meghnad Saha occupies a special role in the history of Indian science, having been a pioneer in its organization already from the oppressive colonial period and having left important legacies to post-colonial India like the Saha Institute…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. P. Balachandran

The Saha equation provides the relation between two consecutive ionization state populations, like the Maxwell-Boltzmann velocity distribution of the atoms in a gas ensemble. Saha equation can also consider the partitions functions for both…

General Physics · Physics 2019-09-04 Bráulio B. Soares , Edésio M. Barboza , Everton M. C. Abreu , Jorge Ananias Neto

The Saha equation describes the relative number density of consecutive ionization levels of a given atomic species under conditions of thermodynamic equilibrium in an ionized gas. Because the number density in the denominator may be very…

Solar and Stellar Astrophysics · Physics 2012-10-01 John W. Fowler

Tsallis' thermostatistical has received increasing attention due to its success in describing phenomena that manifest unusual thermodynamic properties. In this context, the generalized Saha equation must follow a condition of generalized…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-21 L. L. Sales , F. C. Carvalho , E. P. Bento , H. T. C. M. Souza

The Saha equations for photo-ionization process of hydrogen atoms and the creation of electron-positron pairs at high temperature are investigated in a reference frame undergoing a uniform accelerated motion in an otherwise flat Minkowski…

High Energy Astrophysical Phenomena · Physics 2017-02-06 Sanchari De , Somenath Chakrabarty

The aim of this paper is to study a system of three equations for ionized gas dynamics at high temperature, in one spatial dimension. In addition to the mass density, pressure and particle velocity, a further quantity is needed, namely, the…

Analysis of PDEs · Mathematics 2017-02-21 Andrea Corli , Fumioki Asakura

We have studied Saha equation for photo-ionization of hydrogen atoms in partially ionized relativistic hydrogen plasma in Rindler space. Following the principle of equivalence, we have obtained the abundances of neutral hydrogen atoms,…

General Relativity and Quantum Cosmology · Physics 2018-10-10 Sanchita Das , Somenath Chakrabarty

Three extraordinary physics discoveries were made from colonial India, which did not have any previous tradition of research in modern physics: Saha ionization equation (1920), Bose statistics (1924), Raman effect (1928). All the three…

History and Philosophy of Physics · Physics 2024-10-02 Arnab Rai Choudhuri

Three extraordinary physics discoveries were made from colonial India, which did not have any previous tradition of research in modern physics: Saha ionization equation (1920), Bose statistics (1924), Raman effect (1928). All the three…

History and Philosophy of Physics · Physics 2024-10-02 Arnab Rai Choudhuri

This brief historical review highlights the early work of Hayashi and his associates on the thermal physics of star-forming clouds, as summarized in the temperature-density diagrams first presented by this group. Some of the more recent…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Richard B. Larson

The formation and decay of metastable bound states can significantly decrease the thermal-relic dark matter density, particularly for dark matter masses around and above the TeV scale. Incorporating bound-state effects in the dark matter…

High Energy Physics - Phenomenology · Physics 2022-09-01 Tobias Binder , Anastasiia Filimonova , Kalliopi Petraki , Graham White

It is widely known that the Saha equation is not suitable for describing plasmas out of thermodynamic equilibrium. The primordial hydrogen recombination plasma is an example of this. In this work, we propose a theoretical modification to…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-18 L. L. Sales , F. C. Carvalho , H. T. C. M. Souza

We study partially ionized hydrogen plasma at temperatures T = 10^{5.5}-10^{6.5} K and magnetic fields B = 10^{12}-10^{13} G, typical of photospheres of isolated neutron stars. We construct an analytic model of the plasma free energy and…

Astrophysics · Physics 2007-05-23 A. Y. Potekhin , Yu. A. Shibanov , J. Ventura

The thermodynamic limit in statistical thermodynamics of many-particle systems is an important but often overlooked issue in the various applied studies of condensed matter physics. To settle this issue, we review tersely the past and…

Statistical Mechanics · Physics 2014-03-03 A. L. Kuzemsky

The aim of this paper is to study a one dimensional model system of equations for ionized gas dynamics at high temperature where the gas is a mixture of two kinds of monatomic gas. In addition to the mass density, pressure, temperature and…

Statistical Mechanics · Physics 2020-01-08 Fumioki Asakura

The discovery of cosmic rays, a milestone in science, was based on the work by scientists in Europe and the New World and took place during a period characterised by nationalism and lack of communication. Many scientists that took part in…

History and Philosophy of Physics · Physics 2016-11-15 Alessandro De Angelis

We argue that the celebrated Stefan condition on the moving interphase, accepted in mathematical physics up to now, can not be imposed if energy sources are spatially distributed in the volume. A method based on Tikhonov and Samarskii's…

Mathematical Physics · Physics 2007-05-23 B. F. Kostenko , J. Pribis , I. V. Puzynin

We consider the hydrogen quantum plasma in the Saha regime, where it almost reduces to a partially ionized atomic gas. We briefly review the construction of systematic expansions of thermodynamical functions beyond Saha theory, which…

Statistical Mechanics · Physics 2010-09-20 Angel Alastuey , Ballenegger Vincent
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