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Equation of state: History, Historical background & Overview

In physics and chemistry, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature, or internal energy. Most modern equations of state are formulated in the Helmholtz free energy. Equations of state are useful in describing…

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Equation of state topic overview

The analysis highlights History, Historical background and Overview as prominent areas in the source structure around Equation of state.

Related topics
75
Source areas
11
Connected nodes
86
Extracted relationships
110
Concept neighborhoods
43
Bridge connections
86

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 24 topics
Historical background · 13 topics
Ideal gas law · 9 topics
Others · 7 topics
Physically based equations of state · 6 topics
Stiffened equation of state · 4 topics
Virial equations of state · 4 topics
Ideal Bose equation of state · 3 topics
Landau–Stanyukovich–Zeldovich–Kompaneyets equation of state · 2 topics
Ultrarelativistic equation of state · 2 topics
Cubic equations of state · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Historical background

Ideal gas law

Cubic equations of state

Virial equations of state

Physically based equations of state

Stiffened equation of state

Landau–Stanyukovich–Zeldovich–Kompaneyets equation of state

Ultrarelativistic equation of state

Ideal Bose equation of state

Others

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Equation of state connects Entity context

The extracted context around Equation of state shows recurring relationship patterns in the source. For example, Equation of state → Alexander Kompaneyets, In, It, Kompaneets, Lev Landau, LSZK EOS, Soviet, Stanyukovich, The Landau, The LSZK EOS, Yakov Zeldovich, Zeldovich Another extracted example is Equation of state → Because, Both, Empirical, Helmholtz, Mixture, Multiparameter, RT, The, The IAPWS95, They, Typical, Yet. Use these groups to spot repeated connection types before inspecting the individual relationships.

Equation of state

Top relations

related to Landau–Stanyukovich–Zeldovich–Kompaneyets equation of state · 12
Equation of state → Alexander Kompaneyets, In, It, Kompaneets, Lev Landau, LSZK EOS, Soviet, Stanyukovich, The Landau, The LSZK EOS, Yakov Zeldovich, Zeldovich
related to Multiparameter equations of state · 12
Equation of state → Because, Both, Empirical, Helmholtz, Mixture, Multiparameter, RT, The, The IAPWS95, They, Typical, Yet
related to Jones–Wilkins–Lee equation of state for explosives (JWL equation) · 11
Equation of state → Chapman, CJ, In, Jones, Jouguet, JWL-EOS, Lee, The, These, Typical, Wilkins
related to Others · 9
Equation of state → Brennan, Grüneisen, Holmquist, Irvine, Murnaghan, Rydberg, Schmidt, Several, Tait
related to Quantum ideal gas law · 9
Equation of state → Boltzmann, Bose, Dirac, Einstein, Fermi, In, N/V, Since, The
related to Perturbation theory-based models · 8
Equation of state → Andersen, Barker-Henderson, Chandler, Lennard-Jones, Perturbation, The, There, Weeks
related to Statistical associating fluid theory (SAFT) · 8
Equation of state → An, Chapman, Helmholtz, Many, SAFT, The, The SAFT, Wertheim
related to Cubic equations of state · 7
Equation of state → Cubic, For, Hence, Peng Robinson, Soave Redlich Kwong, There, Waals
related to Virial equation of state · 7
Equation of state → Accuracy, Although, If, Kamerlingh Onnes, RT, The, This
related to Ideal Bose equation of state · 4
Equation of state → Bose, Li, RT, The

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

state equation equations displaystyle pressure gas ideal temperature energy used volume form frac density law fluid multiparameter also left right

Equation of state relationships Subject–Predicate–Object triples

TTTA extracted 110 structured relationships around Equation of state. Examples in this analysis include Equation of state → is a → thermodynamic equation relating state variables and Equation of state → is a → modified BWR equation of state and can be written as p. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Equation of stateis athermodynamic equation relating state variables0.90text
Equation of stateis amodified BWR equation of state and can be written as p0.90text
Equation of stateis aform proposed by Span and Wagner. a r e s i d u a l0.90text
process engineeringinstance ofA related concept is the perfect fluid equation of state used in cosmology.Equations of state are applied in many fields0.80text
petroleum industry as well as pharmaceutical industry.Any consistent set of units may be usedinstance ofA related concept is the perfect fluid equation of state used in cosmology.Equations of state are applied in many fields0.80text
although SI units are preferredinstance ofA related concept is the perfect fluid equation of state used in cosmology.Equations of state are applied in many fields0.80text
underwater nuclear explosionsinstance ofin situations0.80text
sonic shock lithotripsyinstance ofin situations0.80text
and sonoluminescenceinstance ofin situations0.80text
the stiffened equation of state is often usedinstance ofin situations0.80text
strong shocks.Landauinstance ofThis equation mispredicts the specific heat capacity of water but few simple alternatives are available for severely nonisentropic processes0.80text
strong shocksinstance ofThis equation mispredicts the specific heat capacity of water but few simple alternatives are available for severely nonisentropic processes0.80text

Related concept clusters Concept neighborhoods

The concept neighborhoods around Equation of state bring nearby vocabulary together. In this analysis, examples include State, Displaystyle and Frac. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Equation of state
    • State
    • Displaystyle
    • Frac
    • Gas
    • Used
    • Left
    • Right
    • Multiparameter
    • Volume
    • Ideal
    • Pressure
    • Equations
  • equation of state
    • Equations
    • State
    • Displaystyle
    • Frac
    • Gas
    • Used
    • Left
    • Right
    • Multiparameter
    • Volume
    • Ideal
    • Pressure
  • thermodynamic equation
    • State
    • Displaystyle
    • Frac
    • Gas
    • Used
    • Left
    • Right
    • Volume
    • Ideal
    • Pressure
    • Equations
    • Temperature
  • state variables
    • Equations
    • Displaystyle
    • Used
    • Multiparameter
    • Ideal
    • Fluid
    • Gas
    • Frac
    • Classical
    • Cubic
    • Volume
    • Based
  • pressure
    • Volume
    • Density
    • Temperature
    • Displaystyle
    • Gas
    • Ideal
    • Rho
    • Frac
    • Gases
    • Constant
    • Gamma
    • Pv
  • volume
    • Pressure
    • Temperature
    • Constant
    • Displaystyle
    • Frac
    • Gas
    • Energy
    • Equation
    • Gases
    • Ideal
    • Law
    • Form
  • temperature
    • Frac
    • Volume
    • Displaystyle
    • Gas
    • Density
    • Ideal
    • Constant
    • Pv
    • Rt
    • Virial
    • Law
    • Left
  • internal energy
    • Helmholtz
    • Pressure
    • Density
    • Rho
    • Volume
    • Gamma
    • State
    • Displaystyle
    • Ideal
    • Used
    • Constant
    • Equation

Connections between topic areas Semantic bridges

For Equation of state, one of the stronger structural bridges in this analysis connects Equation of state with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Equation of state — Overview · splits 62 ⟂ 25
Equation of state — Historical background · splits 73 ⟂ 14
Equation of state — Ideal gas law · splits 77 ⟂ 10
Equation of state — Others · splits 79 ⟂ 8
Equation of state — Physically based equations of state · splits 80 ⟂ 7
Equation of state — Virial equations of state · splits 82 ⟂ 5
Equation of state — Stiffened equation of state · splits 82 ⟂ 5
Equation of state — Ideal Bose equation of state · splits 83 ⟂ 4
Equation of state — Landau–Stanyukovich–Zeldovich–Kompaneyets equation of state · splits 84 ⟂ 3
Equation of state — Ultrarelativistic equation of state · splits 84 ⟂ 3

Map overview Semantic statistics

Equation of state

Nodes87
Edges86
Triples110
Avg. degree1.98
Density0.022989
Components1

Source & methodology

TTTA analyzes the structure around Equation of state to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History, Historical background & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Equation of state · EN edition · Analysis: TopicsToTalkAbout

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