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The Third Law of Thermodynamics: Phase equilibria and phase diagrams at low temperatures

Acta materialia, ISSN 1359-6454, 02/2018, Volume 145, pp. 49 - 61

.... The aim of this paper is to call attention to considerations of the THIRD LAW OF THERMODYNAMICS when evaluating these results when applied to low temperature phase equilibria...

Phase equilibria | Third Law of Thermodynamics | Nernst-Planck-Simon statement | Low temperature phase equilibria | SYSTEM | MATERIALS SCIENCE, MULTIDISCIPLINARY | METALLURGY & METALLURGICAL ENGINEERING | SPINODAL DECOMPOSITION | MODEL | 1ST-PRINCIPLES | ORDER-DISORDER TRANSFORMATIONS | ALLOYS | FE-PD | Thermodynamics | Analysis

Phase equilibria | Third Law of Thermodynamics | Nernst-Planck-Simon statement | Low temperature phase equilibria | SYSTEM | MATERIALS SCIENCE, MULTIDISCIPLINARY | METALLURGY & METALLURGICAL ENGINEERING | SPINODAL DECOMPOSITION | MODEL | 1ST-PRINCIPLES | ORDER-DISORDER TRANSFORMATIONS | ALLOYS | FE-PD | Thermodynamics | Analysis

Journal Article

European journal of physics, ISSN 1361-6404, 2019, Volume 40, Issue 2, p. 025101

In 1893, Wien applied the first two laws of thermodynamics to blackbody radiation and derived his displacement theorem...

Planck spectrum | thermodynamics of a harmonic oscillator | third law of thermodynamics | LAW | PHYSICS, MULTIDISCIPLINARY | blackbody radiation | zero-point energy | CASIMIR FORCE | POINT | RADIATION | EDUCATION, SCIENTIFIC DISCIPLINES | Physics - Statistical Mechanics

Planck spectrum | thermodynamics of a harmonic oscillator | third law of thermodynamics | LAW | PHYSICS, MULTIDISCIPLINARY | blackbody radiation | zero-point energy | CASIMIR FORCE | POINT | RADIATION | EDUCATION, SCIENTIFIC DISCIPLINES | Physics - Statistical Mechanics

Journal Article

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On determining absolute entropy without quantum theory or the third law of thermodynamics

New journal of physics, ISSN 1367-2630, 04/2016, Volume 18, Issue 4, p. 43022

We employ classical thermodynamics to gain information about absolute entropy, without recourse to statistical methods, quantum mechanics or the third law of thermodynamics. The Gibbs...

Gibbs-Duhem equation | entropy | third law of thermodynamics | Saha equation | Sackur-Tetrode equation | Thermodynamics | Ionization | Quantum mechanics | Ideal gas | Statistical methods | Absolute zero | Quantum theory

Gibbs-Duhem equation | entropy | third law of thermodynamics | Saha equation | Sackur-Tetrode equation | Thermodynamics | Ionization | Quantum mechanics | Ideal gas | Statistical methods | Absolute zero | Quantum theory

Journal Article

Annals of physics, ISSN 0003-4916, 10/2016, Volume 373, pp. 665 - 681

This paper introduces a postulate explicitly forbidding the extraction of an infinite amount of energy from a thermodynamic system...

Perpetual motion machine | Entropy | Absolute zero | Enthalpy | Third law | PHYSICS, MULTIDISCIPLINARY | BLACK-HOLES | Energy trading | Thermodynamics | ENERGY TRANSFER | ENTHALPY | THERMODYNAMICS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENTROPY

Perpetual motion machine | Entropy | Absolute zero | Enthalpy | Third law | PHYSICS, MULTIDISCIPLINARY | BLACK-HOLES | Energy trading | Thermodynamics | ENERGY TRANSFER | ENTHALPY | THERMODYNAMICS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENTROPY

Journal Article

1961, Oxford library of the physical sciences, viii, 142

Book

Journal of Phase Equilibria and Diffusion, ISSN 1547-7037, 10/2018, Volume 39, Issue 5, pp. 519 - 531

Recently, Hillert and Selleby proposed a simple method for expression of the lattice stability or Gibbs energy of formation that does not violate the third law of thermodynamic...

Crystallography and Scattering Methods | Thermodynamics | lattice stability | Gibbs energy of formation | thermodynamic database | excess energy | Engineering Thermodynamics, Heat and Mass Transfer | third generation of CALPHAD databases | Metallic Materials | aluminum | Ceramics, Glass, Composites, Natural Materials | Physics | HIGH-PRESSURE | MATERIALS SCIENCE, MULTIDISCIPLINARY | METALLURGY & METALLURGICAL ENGINEERING | AB-INITIO CALCULATIONS | CHEMISTRY, PHYSICAL | PURE ELEMENTS | EQUATION-OF-STATE | HCP PHASE | SGTE DATA | 1ST-PRINCIPLES CALCULATIONS | CRYSTALLOGRAPHIC PHASE-TRANSITION | HIGH-PRECISION CALCULATION | HEAT-CAPACITY | Energy of formation | Stability | Parameters | Computer simulation | Aluminum | Free energy | Heat of solution | Case studies | Interpolation | Energy | Thermodynamic properties | Heat of formation | Energy of solution

Crystallography and Scattering Methods | Thermodynamics | lattice stability | Gibbs energy of formation | thermodynamic database | excess energy | Engineering Thermodynamics, Heat and Mass Transfer | third generation of CALPHAD databases | Metallic Materials | aluminum | Ceramics, Glass, Composites, Natural Materials | Physics | HIGH-PRESSURE | MATERIALS SCIENCE, MULTIDISCIPLINARY | METALLURGY & METALLURGICAL ENGINEERING | AB-INITIO CALCULATIONS | CHEMISTRY, PHYSICAL | PURE ELEMENTS | EQUATION-OF-STATE | HCP PHASE | SGTE DATA | 1ST-PRINCIPLES CALCULATIONS | CRYSTALLOGRAPHIC PHASE-TRANSITION | HIGH-PRECISION CALCULATION | HEAT-CAPACITY | Energy of formation | Stability | Parameters | Computer simulation | Aluminum | Free energy | Heat of solution | Case studies | Interpolation | Energy | Thermodynamic properties | Heat of formation | Energy of solution

Journal Article

Journal of non-crystalline solids, ISSN 0022-3093, 2009, Volume 355, Issue 10, pp. 581 - 594

A survey is given on the historical development of ideas, concerning the Third Principle of thermodynamics and the thermodynamic nature of glasses...

Glass transition | Heat theorem | Third principle | Glass ceramics | Vitreous state | Non-equilibrium states | Solubility of glasses | Frozen-in states | LAW | MATERIALS SCIENCE, MULTIDISCIPLINARY | LIQUID | MATERIALS SCIENCE, CERAMICS | UNDERCOOLED MELTS | QUESTION | SOLUBILITY | DEPENDENCE | HEAT | TRANSITION TEMPERATURE | Thermodynamics | Analysis

Glass transition | Heat theorem | Third principle | Glass ceramics | Vitreous state | Non-equilibrium states | Solubility of glasses | Frozen-in states | LAW | MATERIALS SCIENCE, MULTIDISCIPLINARY | LIQUID | MATERIALS SCIENCE, CERAMICS | UNDERCOOLED MELTS | QUESTION | SOLUBILITY | DEPENDENCE | HEAT | TRANSITION TEMPERATURE | Thermodynamics | Analysis

Journal Article

Physics letters. A, ISSN 0375-9601, 08/2016, Volume 380, Issue 34, pp. 2615 - 2618

....
We consider the fractal calculus based Ubriaco and Machado entropies and investigate whether they conform to the third law of thermodynamic...

Fractal entropies | Ising model | Third law of thermodynamics | PHYSICS, MULTIDISCIPLINARY | INFORMATION | Thermodynamics | Analysis | Intervals | Mathematical analysis | Fractal analysis | Solid state physics | Calculus | Inverse | Entropy

Fractal entropies | Ising model | Third law of thermodynamics | PHYSICS, MULTIDISCIPLINARY | INFORMATION | Thermodynamics | Analysis | Intervals | Mathematical analysis | Fractal analysis | Solid state physics | Calculus | Inverse | Entropy

Journal Article

Physics letters. A, ISSN 0375-9601, 2019, Volume 383, Issue 27, p. 125848

.... Nevertheless, we clarify that the Third Law of Thermodynamics, as defined by Nernst's heat theorem statement, is distinct from the Principle of Unattainability in the sense that the Third Law...

Principle of Unattainability of absolute zero temperature | The Third Law of Thermodynamics | Projective quantum measurements | PHYSICS, MULTIDISCIPLINARY | Physics - Quantum Physics

Principle of Unattainability of absolute zero temperature | The Third Law of Thermodynamics | Projective quantum measurements | PHYSICS, MULTIDISCIPLINARY | Physics - Quantum Physics

Journal Article

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The validity of the third law of thermodynamics for the Rényi and homogeneous entropies

Physica A, ISSN 0378-4371, 11/2015, Volume 437, pp. 405 - 407

Bento et al. (2015) recently proposed to use the third law of thermodynamics as a test for the generalized entropies, since the third law should be respected by any statistical mechanical entropy regardless...

Generalized thermodynamics | Homogeneous entropy | Normalization | Concavity | Third law | Renyi entropy | PHYSICS, MULTIDISCIPLINARY | Thermodynamics

Generalized thermodynamics | Homogeneous entropy | Normalization | Concavity | Third law | Renyi entropy | PHYSICS, MULTIDISCIPLINARY | Thermodynamics

Journal Article

Annals of physics, ISSN 0003-4916, 02/2017, Volume 377, pp. 62 - 70

.... In this work, we study the group-theoretical entropy Sa,b,r in the context of the third law of thermodynamics where the parameters {a,b,r...

Generalized entropies | Extensivity | Third law of thermodynamics | Group theory | Khinchin axioms | PHYSICS, MULTIDISCIPLINARY | SYSTEMS | FAMILY | RENYI | Thermodynamics | Analysis | Physics - Statistical Mechanics

Generalized entropies | Extensivity | Third law of thermodynamics | Group theory | Khinchin axioms | PHYSICS, MULTIDISCIPLINARY | SYSTEMS | FAMILY | RENYI | Thermodynamics | Analysis | Physics - Statistical Mechanics

Journal Article

2003, History of modern physical sciences, ISBN 9781860943478, Volume 1., xi, 647

Book

Eurasia journal of mathematics, science and technology education, ISSN 1305-8215, 2016, Volume 12, Issue 3, pp. 373 - 385

.... This study aims at investigating pre-service science teachers' knowledge of student misconceptions and difficulties, a crucial component of PCK, on Newton's Third Law...

Newton's third law | Student difficulties | Knowledge of students | Pre-service teachers | EDUCATION & EDUCATIONAL RESEARCH | student difficulties | CONCEPTIONS | pre-service teachers | knowledge of students | newton's third law | PEDAGOGICAL CONTENT KNOWLEDGE | Science Instruction | Student Evaluation | Learning Problems | Prediction | Problem Solving | Teacher Expectations of Students | Foreign Countries | Preservice Teachers | Outcomes of Education | Thermodynamics | Misconceptions | Science Teachers | Knowledge Level | College Students | China | Questionnaires | High School Seniors | Science Process Skills | Pedagogical Content Knowledge

Newton's third law | Student difficulties | Knowledge of students | Pre-service teachers | EDUCATION & EDUCATIONAL RESEARCH | student difficulties | CONCEPTIONS | pre-service teachers | knowledge of students | newton's third law | PEDAGOGICAL CONTENT KNOWLEDGE | Science Instruction | Student Evaluation | Learning Problems | Prediction | Problem Solving | Teacher Expectations of Students | Foreign Countries | Preservice Teachers | Outcomes of Education | Thermodynamics | Misconceptions | Science Teachers | Knowledge Level | College Students | China | Questionnaires | High School Seniors | Science Process Skills | Pedagogical Content Knowledge

Journal Article

International journal of engineering science, ISSN 0020-7225, 2018, Volume 129, pp. 96 - 110

.... The thermodynamic framework for third-grade nonlocal elastic materials is developed and employed to establish the Helmholtz free energy and the associated constitutive equations...

Third-grade nonlocal materials | Nonlocal theory of elasticity | Bernoulli–Euler nano-beam | Thermodynamics of solids | Integro-differential elastic model | STRAIN GRADIENT BEAMS | Bernoulli-Euler nano-beam | EULER-BERNOULLI | VIBRATION ANALYSIS | WALLED CARBON NANOTUBES | INTEGRAL MODEL | NONLINEAR VIBRATION | ENGINEERING, MULTIDISCIPLINARY | STRESS-DRIVEN | TIMOSHENKO BEAMS | NANO-BEAMS | WAVE-PROPAGATION | Thermodynamics | Analysis | Force and energy

Third-grade nonlocal materials | Nonlocal theory of elasticity | Bernoulli–Euler nano-beam | Thermodynamics of solids | Integro-differential elastic model | STRAIN GRADIENT BEAMS | Bernoulli-Euler nano-beam | EULER-BERNOULLI | VIBRATION ANALYSIS | WALLED CARBON NANOTUBES | INTEGRAL MODEL | NONLINEAR VIBRATION | ENGINEERING, MULTIDISCIPLINARY | STRESS-DRIVEN | TIMOSHENKO BEAMS | NANO-BEAMS | WAVE-PROPAGATION | Thermodynamics | Analysis | Force and energy

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 2/2009, Volume 134, Issue 4, pp. 781 - 792

The third law of thermodynamics is formulated precisely: all points of the state space of zero temperature Γ0...

Thermodynamics | Physical Chemistry | Black holes | Mathematical and Computational Physics | Quantum Physics | Entropy | Adiabatic accessibility | Physics | Statistical Physics | Third law | DENSITY | ENERGY | GROUND-STATE | PHYSICS, MATHEMATICAL

Thermodynamics | Physical Chemistry | Black holes | Mathematical and Computational Physics | Quantum Physics | Entropy | Adiabatic accessibility | Physics | Statistical Physics | Third law | DENSITY | ENERGY | GROUND-STATE | PHYSICS, MATHEMATICAL

Journal Article

International Journal of Modern Physics D, ISSN 0218-2718, 01/2014, Volume 23, Issue 1, pp. 1450009 - 1-1450009-15

...) evaporation might prevent BH explosions as well as violations of the third law of BH thermodynamic...

Hawking radiation | black hole thermodynamics | Black holes | third law | SELF-INTERACTION | ASTRONOMY & ASTROPHYSICS | Law | Energy conservation | Black holes (astronomy) | Mathematical models | Explosions | Evaporation | Invariants | Black Holes | Black holes (Astronomy) | Black Hole Thermodynamics | Forats negres (Astronomia) | Àrees temàtiques de la UPC | Física | Third Law

Hawking radiation | black hole thermodynamics | Black holes | third law | SELF-INTERACTION | ASTRONOMY & ASTROPHYSICS | Law | Energy conservation | Black holes (astronomy) | Mathematical models | Explosions | Evaporation | Invariants | Black Holes | Black holes (Astronomy) | Black Hole Thermodynamics | Forats negres (Astronomia) | Àrees temàtiques de la UPC | Física | Third Law

Journal Article

European journal of mechanics, B, Fluids, ISSN 0997-7546, 09/2017, Volume 65, pp. 45 - 53

Based on a director theory approach related to fluid dynamics we reduce the nonlinear three-dimensional equations governing the axisymmetric unsteady motion of...

Hierarchical theory | Unsteady flow | One-dimensional model | Third-grade fluid | EXISTENCE | HEAT-TRANSFER | PHYSICS, FLUIDS & PLASMAS | STABILITY | 3RD GRADE FLUID | MODEL | UNIQUENESS | MECHANICS | MOTION | THERMODYNAMICS | CHANNEL | VISCOUS-FLUID | Newton's laws of motion | Fluid dynamics | Numerical analysis

Hierarchical theory | Unsteady flow | One-dimensional model | Third-grade fluid | EXISTENCE | HEAT-TRANSFER | PHYSICS, FLUIDS & PLASMAS | STABILITY | 3RD GRADE FLUID | MODEL | UNIQUENESS | MECHANICS | MOTION | THERMODYNAMICS | CHANNEL | VISCOUS-FLUID | Newton's laws of motion | Fluid dynamics | Numerical analysis

Journal Article

Entropy (Basel, Switzerland), ISSN 1099-4300, 03/2018, Volume 20, Issue 3, p. 187

A critical analysis for the arguments in support of, and against, the traditional approach to thermodynamics of vitreous state is provided...

Glass transition | Thermodynamics of the vitreous state | Entropy | Statistical physics | Third law of thermodynamics | Structure of glasses | thermodynamics of the vitreous state | statistical physics | entropy | third law of thermodynamics | PHYSICS, MULTIDISCIPLINARY | structure of glasses | glass transition | Thermodynamics | Transition temperature | Functionals | Mathematical analysis | Enthalpy | Absolute zero | Thermodynamic properties | Free energy

Glass transition | Thermodynamics of the vitreous state | Entropy | Statistical physics | Third law of thermodynamics | Structure of glasses | thermodynamics of the vitreous state | statistical physics | entropy | third law of thermodynamics | PHYSICS, MULTIDISCIPLINARY | structure of glasses | glass transition | Thermodynamics | Transition temperature | Functionals | Mathematical analysis | Enthalpy | Absolute zero | Thermodynamic properties | Free energy

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 2/2013, Volume 150, Issue 3, pp. 432 - 441

.... We combine first principles total energy calculations with phenomenological thermodynamic modeling to propose a revised low temperature phase diagram that contains two boron-carbide phases...

Thermodynamics | First principles | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | Boron carbide | Third law | CRYSTAL-STRUCTURE | CHAINS | PHYSICS, MATHEMATICAL | Toy industry | Analysis | Carbides

Thermodynamics | First principles | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | Boron carbide | Third law | CRYSTAL-STRUCTURE | CHAINS | PHYSICS, MATHEMATICAL | Toy industry | Analysis | Carbides

Journal Article

Mathematical Notes, ISSN 0001-4346, 7/2014, Volume 96, Issue 1, pp. 50 - 67

... in Matematicheskie Zametki, 2014, Vol. 96, No. 1, pp. 40–44.
New Parastatistics Leading to Classical Thermodynamics:
Physical Interpretation
V. P. M a s l o v *
National...

UD-statistics | isotherm | van der Waals equation | phase transition of the first kind | Bose-Einstein statistics | Mathematics | Bachinskii condition | addend | isochore | phase transition of the third kind | parastatistics | degree of freedom | Poisson law | Mathematics, general | Boyle density | Boyle temperature | Gentile statistics | STATISTICS | MATHEMATICS

UD-statistics | isotherm | van der Waals equation | phase transition of the first kind | Bose-Einstein statistics | Mathematics | Bachinskii condition | addend | isochore | phase transition of the third kind | parastatistics | degree of freedom | Poisson law | Mathematics, general | Boyle density | Boyle temperature | Gentile statistics | STATISTICS | MATHEMATICS

Journal Article

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