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Unit of energy per mole per temperature
The entropy unit is a non-S.I. unit of thermodynamic entropy, usually denoted by "e.u." or "eU" and equal to one calorie per kelvin per mole, or 4.184
Entropy_unit
Property of a thermodynamic system
Conformational entropy Entropic explosion Entropic force Entropic value at risk Entropy and life Entropy unit Free entropy Harmonic entropy Info-metrics
Entropy
Average uncertainty in variable's states
In information theory, the entropy of a random variable quantifies the average level of uncertainty or information associated with the variable's potential
Entropy_(information_theory)
Physical constant relating particle kinetic energy with temperature
gas constant, in Planck's law of black-body radiation and Boltzmann's entropy formula, and is used in calculating thermal noise in resistors. The Boltzmann
Boltzmann_constant
Concept in information theory
Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The
Rényi_entropy
Relationship between the concepts of thermodynamic entropy and information entropy
concept of entropy is central, Shannon was persuaded to employ the same term 'entropy' for his measure of uncertainty. Information entropy is often presumed
Entropy in thermodynamics and information theory
Entropy_in_thermodynamics_and_information_theory
Unit of information
the actual sequence of symbols. The shannon also serves as a unit of the information entropy of an event, which is defined as the expected value of the
Shannon_(unit)
Unit of information
The natural unit of information (symbol: nat), sometimes also nit or nepit, is a unit of information or information entropy, based on natural logarithms
Nat_(unit)
Measure of distance to normality
negative entropy is used as a measure of distance to normality. It is also known as negentropy or syntropy. It is a counter-construct to entropy. The concept
Negentropy
Mathematical statistics distance measure
statistics, the Kullback–Leibler (KL) divergence (also called relative entropy and I-divergence), denoted D KL ( P ∥ Q ) {\displaystyle D_{\text{KL}}(P\parallel
Kullback–Leibler_divergence
Type of energy transfer
Likewise, 'the entropy of the Solar System' is not defined in classical thermodynamics. It has not been possible to define non-equilibrium entropy, as a simple
Heat
Entropy of a process with only two probable values
In information theory, the binary entropy function, denoted H ( p ) {\displaystyle \operatorname {H} (p)} or H b ( p ) {\displaystyle \operatorname
Binary_entropy_function
Subject of study in ergodic theory
the entropy of the Bernoulli process is log 2, since almost every real number has a unique binary expansion. That is, one may partition the unit interval
Measure-preserving dynamical system
Measure-preserving_dynamical_system
Scientific study of digital information
entropy formula determines the unit of entropy used: A base-2 logarithm (as shown in the main formula) measures entropy in bits per symbol. This unit
Information_theory
2.71828...; base of natural logarithms
total entropy. Using the natural logarithm gives entropy units in nats (as opposed, for example, to the use of the base-2 logarithm giving entropy in bits)
E_(mathematical_constant)
Concept in information theory
Differential entropy (also referred to as continuous entropy) in information theory is a property of absolutely continuous probability distributions which
Differential_entropy
Computer data measurements and scales
(thermodynamics), such as entropy increase of 1 mole of water Data-rate units List of interface bit rates Orders of magnitude (entropy) Unit prefix#Unofficial
Orders_of_magnitude_(data)
Topics referred to by the same term
Universalis, a strategy video game Endotoxin unit, a measure of endotoxin levels Entropy unit, a non-S.I. unit of entropy that is equal to one calorie per Kelvin
EU_(disambiguation)
Type of entropy in quantum theory
In physics, the von Neumann entropy, named after John von Neumann, is a measure of the statistical uncertainty within a description of a quantum system
Von_Neumann_entropy
Physical quantity of hot and cold
including the macroscopic entropy, though microscopically referable to the Gibbs statistical mechanical definition of entropy for the canonical ensemble
Temperature
Modern form of the metric system
capacity and entropy, and the ampere is the coherent SI unit for both electric current and magnetomotive force. Furthermore, the same coherent SI unit may be
International_System_of_Units
Principle in theoretical physics
the thermodynamic entropy of physics and Shannon's entropy of information is in the units of measure; the former is expressed in units of energy divided
Holographic_principle
Measurement scale based on orders of magnitude
information entropy (nat, shannon, ban) and of signal level (decibel, bel, neper). Frequency levels or logarithmic frequency quantities have various units are
Logarithmic_scale
Equation in statistical mechanics
In statistical mechanics, Boltzmann's entropy formula (also known as the Boltzmann–Planck equation, not to be confused with the more general Boltzmann
Boltzmann's_entropy_formula
Concept
The concept entropy was first developed by German physicist Rudolf Clausius in the mid-nineteenth century as a thermodynamic property that predicts that
Entropy (statistical thermodynamics)
Entropy_(statistical_thermodynamics)
Possible fate of the universe
to a state of no thermodynamic free energy and, having reached maximum entropy, will therefore be unable to sustain any further thermodynamic processes
Heat_death_of_the_universe
Physical law for entropy and heat
limit of infinitely large system size), the specific entropy (entropy per unit volume or per unit mass) does not depend on δ E {\displaystyle \delta E}
Second_law_of_thermodynamics
base, the unit of information is called the hartley (aka ban or dit) in his honor. It is also known as the Hartley entropy or max-entropy. The Hartley
Hartley_function
Classic entropy of a quantum-mechanical density matrix
the Wehrl entropy, named after Alfred Wehrl, is a classical entropy of a quantum-mechanical density matrix. It is a type of quasi-entropy defined for
Wehrl_entropy
Part of the history of physics
In the history of physics, the concept of entropy developed in response to the observation that a certain amount of functional energy released from combustion
History_of_entropy
Entropy of a system attributable to electrons' probabilistic occupation of states
Electronic entropy is the entropy of a system attributable to electrons' probabilistic occupation of states. This entropy can take a number of forms. The
Electronic_entropy
In thermodynamics, entropy is a numerical quantity that shows that many physical processes can go in only one direction in time. For example, cream and
Introduction_to_entropy
Probability distribution that has the most entropy of a class
In statistics and information theory, a maximum entropy probability distribution has entropy that is at least as great as that of all other members of
Maximum entropy probability distribution
Maximum_entropy_probability_distribution
American semiconductor manufacturer
Entropic Communications is a provider of semiconductor products for the connected home. Founded in 2001, the company is headquartered in San Diego, California
Entropic_Communications
Concept in general relativity and quantum field theory
classical laws of thermodynamics. The equivalence is developed by replacing entropy with black hole horizon area and replacing temperature with black hole
Black_hole_thermodynamics
Observational basis of thermodynamics
define a group of physical quantities, such as temperature, energy, and entropy, that characterize thermodynamic systems in thermodynamic equilibrium.
Laws_of_thermodynamics
Measure of energy in a thermodynamic system
of a closed homogeneous system is its energy function H(S, p), with its entropy S[p] and its pressure p as natural state variables which provide a differential
Enthalpy
Unit of measure for digital data
contained in messages and the entropy of random variables. Due to the need to work with data sizes that range from small to large, units of information cover a
Units_of_information
Chemical compound
ΔS°298 = 32.8 entropy units (entropy change) ΔC°p = -6.6 cal/mol degree (change in heat capacity at constant pressure) S°298 = 99.3 entropy units The degree
Ruthenium_tetrachloride
Use of the second law of thermodynamics to distinguish past from future
Entropy is one of the few quantities in the physical sciences that requires a particular direction for time, sometimes called an arrow of time. As one
Entropy_as_an_arrow_of_time
Force distributed over an area
the derivative is taken at fixed entropy ( S {\displaystyle S} ) and particle number ( N {\displaystyle N} ). The SI unit for pressure is the pascal (Pa)
Pressure
Concept in information theory
Fourier analysis, the entropic uncertainty or Hirschman uncertainty is defined as the sum of the temporal and spectral Shannon entropies. It turns out that
Entropic_uncertainty
Measurement unit derived from basic metric value
SI derived units are units of measurement derived from the seven SI base units specified by the International System of Units (SI). They can be expressed
SI_derived_unit
Physical quantity
and others. It also led to a mathematical formulation of the concept of entropy by Clausius and to the introduction of laws of radiant energy by Jožef
Energy
Development of entropy in a thermodynamic system
Entropy production (or generation) is the amount of entropy which is produced during heat process to evaluate the efficiency of the process. Entropy is
Entropy_production
Type of thermodynamic potential
temperature (SI unit: kelvin), S {\displaystyle S} is the entropy (SI unit: joule per kelvin), H {\displaystyle H} is the enthalpy (SI unit: joule). The
Gibbs_free_energy
Heat required to raise the temperature of a given unit of mass of a substance
dimensionless entropy measured in bits. From the definition of entropy T d S = δ Q , {\displaystyle T\,{\text{d}}S=\delta Q,} the absolute entropy can be calculated
Specific_heat_capacity
Units defined only by physical constants
gravitation. Planck units modified so that 8πG = 1 are known as reduced Planck units. Also, the Bekenstein–Hawking formula for the entropy of a black hole
Planck_units
Standard entropy content of one mole of a substance under a standard state
pressure. The standard molar entropy at pressure = P 0 {\displaystyle P^{0}} is usually given the symbol S°, and has units of joules per mole per kelvin
Standard_molar_entropy
Measure of dependence between two variables
variable. The concept of mutual information is intimately linked to that of entropy of a random variable, a fundamental notion in information theory that quantifies
Mutual_information
the following formulae determines the units of information being used. The most common unit of information entropy is the bit, or more correctly the shannon
Quantities_of_information
Spectral density estimation method
Maximum entropy spectral estimation is a method of spectral density estimation. The goal is to improve the spectral quality based on the principle of
Maximum entropy spectral estimation
Maximum_entropy_spectral_estimation
In which reactants change volume without major heat release
An entropic explosion is an explosion in which the reactants undergo a large change in volume without releasing a large amount of heat. The chemical decomposition
Entropic_explosion
International standard on physical quantities and units of measurement
information storage (bit and byte), units of entropy (shannon, natural unit of information and hartley), and the erlang (a unit of traffic intensity). International
ISO/IEC_80000
Expression of monatomic ideal gas entropy
The Sackur–Tetrode equation is an expression for the entropy of a monatomic ideal gas. It is named for Hugo Martin Tetrode (1895–1931) and Otto Sackur
Sackur–Tetrode_equation
Unit of information
or a dit (short for "decimal digit"), is a logarithmic unit that measures information or entropy, based on base 10 logarithms and powers of 10. One hartley
Hartley_(unit)
Physical property of matter
S_{1},T_{1}} are the initial entropy and temperature respectively S 2 , T 2 {\displaystyle S_{2},T_{2}} are the final entropy and temperature respectively
Heat_capacity
velocity takes units of speed. Modern standards (such as ISO 80000) prefer the shannon to the bit as a unit for a quantity of information entropy, whereas the
List_of_conversion_factors
Volume of fluid which passes per unit time
fluid which passes per unit time; usually it is represented by the symbol Q (sometimes V ˙ {\displaystyle {\dot {V}}} ). Its SI unit is cubic metres per
Volumetric_flow_rate
How many different types are in a dataset
bases in applications that use the Shannon entropy. Each log base corresponds to a different measurement unit, which has been called binary digits (bits)
Diversity_index
Information held in the state of a quantum system
basic unit of classical information is the bit, quantum information deals with qubits. Quantum information can be measured using von Neumann entropy. Recently
Quantum_information
Measure of temperature relative to absolute zero
expressed using the Kelvin scale, on which the unit of measurement is the kelvin (unit symbol: K). This unit is the same interval as the degree Celsius,
Thermodynamic_temperature
selected at another point." With it came the ideas of the information entropy and redundancy of a source, and its relevance through the source coding
History_of_information_theory
Concept in information theory
logb 0 = 0 is used. The logarithm log PP(p) is the entropy of the distribution; it is given the unit shannon (bit) if the base of the logarithm is 2, and
Perplexity
Stokes franklin (Fr), electric charge – Benjamin Franklin clausius (Cl), entropy – Rudolf Clausius angstrom (Å), distance – Anders Jonas Ångström baud (Bd)
List of scientific units named after people
List_of_scientific_units_named_after_people
Relations between flows and forces, or gradients, in thermodynamic systems
in the same units of temperature times mass density). The rate of entropy production for the above simple example uses only two entropic forces, and a
Onsager_reciprocal_relations
Chart describing internal energy of thermodynamic systems
An enthalpy–entropy chart, also known as the H–S chart or Mollier diagram, plots the total heat against entropy, describing the enthalpy of a thermodynamic
Enthalpy–entropy_chart
SI unit of temperature
The kelvin (symbol: K) is the base unit for temperature in the International System of Units (SI). The Kelvin scale is an absolute temperature scale that
Kelvin
Pair of values which express a thermodynamic system's internal energy
expressed in terms of pairs of conjugate variables such as temperature and entropy, pressure and volume, or chemical potential and particle number. In fact
Conjugate variables (thermodynamics)
Conjugate_variables_(thermodynamics)
German physicist (1858–1947)
thermodynamical formalism as Gibbs without realizing it. Clausius' ideas on entropy occupied a central role in his work. In April 1885, Planck was appointed
Max_Planck
CGS unit of energy and mechanical work
2014-03-17. editions:PwR_Sbkwa8IC. Howard, Irmgard K. (2001). "S is for Entropy. U is for Energy. What Was Clausius Thinking?" (PDF). Journal of Chemical
Erg
Quantity in information theory
of the random variable. The Shannon information is closely related to entropy, which is the expected value of the self-information of a random variable
Information_content
Upper limit on entropy in physics
after Jacob Bekenstein) is an upper limit on the thermodynamic entropy S, or Shannon entropy H, that can be contained within a given finite region of space
Bekenstein_bound
Computer security technique
{\displaystyle E_{s}} (entropy bits of stack top) E m {\displaystyle E_{m}} (entropy bits of mmap() base) E x {\displaystyle E_{x}} (entropy bits of main executable
Address space layout randomization
Address_space_layout_randomization
Ensemble of states with an exactly specified total energy
{dv}{dE}}} has units of 1/energy. the 'volume entropy': S v = k B log v , {\displaystyle S_{v}=k_{\text{B}}\log v,} the 'surface entropy': S s = k B log
Microcanonical_ensemble
Facts provided or learned about something or someone
mental stimuli, pattern, perception, proposition, representation, and entropy. Information is often processed iteratively: Data available at one step
Information
Device for measuring a physical quantity
multiplying the thermal potential by the amount of entropy found at that potential: temperature times entropy. Entropy can be created by friction but not annihilated
List_of_measuring_instruments
Relative deformation of a physical body
dual is considered. Strain has dimension of a length ratio, with SI base units of meter per meter (m/m). Hence strains are dimensionless and are usually
Strain_(mechanics)
Energy contained within a system
the amount of substance with unit J/mol is the molar internal energy. The internal energy of a system depends on its entropy S, its volume V and its number
Internal_energy
Thought experiment in statistical physics
semi-classical derivation of entropy that does not take into account the indistinguishability of particles yields an expression for entropy which is not extensive
Gibbs_paradox
Physics of heat, work, and temperature
deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these
Thermodynamics
Graph relating temperature and entropy during a thermodynamic process or cycle
thermodynamics, a temperature–entropy (T–s) diagram is a thermodynamic diagram used to visualize changes to temperature (T ) and specific entropy (s) during a thermodynamic
Temperature–entropy_diagram
Generalized relative entropy ( ε {\displaystyle \varepsilon } -relative entropy) is a measure of dissimilarity between two quantum states. It is a "one-shot"
Generalized_relative_entropy
Energy dissipation and entropy production extremal principles are ideas developed within non-equilibrium thermodynamics that attempt to predict the likely
Extremal principles in non-equilibrium thermodynamics
Extremal_principles_in_non-equilibrium_thermodynamics
Properties independent of system size, and proportional to system size
Examples of extensive properties include: amount of substance, n enthalpy, H entropy, S Gibbs energy, G heat capacity, Cp Helmholtz energy, A or F internal
Intensive and extensive properties
Intensive_and_extensive_properties
Model that is used to predict the performance of steam turbine systems
heat source and the working fluid and therefore reducing the amount of entropy generated by irreversibility. Rankine engines generally operate in a closed
Rankine_cycle
Unit of information
is usually a nibble. In information theory, one bit is the information entropy of a random binary variable that is 0 or 1 with equal probability, or the
Bit
Mathematical model which approximates the behavior of real gases
the entropy is an exact differential, using the chain rule, the change in entropy when going from a reference state 0 to some other state with entropy S
Ideal_gas
Physics phenomenon
the von Neumann entropy of either particle is log(2), which can be shown to be the maximum entropy for 2 × 2 mixed states. Entropy provides one tool
Quantum_entanglement
Aerodynamic theorem
theorem relates the flow velocity, vorticity, and stagnation pressure (or entropy) of a potential flow. This theorem gives the relation between the thermodynamics
Crocco's_theorem
Analysis of the dimensions of different physical quantities
Paul O. (eds.), Maximum entropy and Bayesian methods: proceedings of the Eleventh International Workshop on Maximum Entropy and Bayesian Methods of Statistical
Dimensional_analysis
Smoothed ramp function
minimizing logistic loss corresponds to maximizing entropy. This justifies the principle of maximum entropy as loss minimization. Dugas, Charles; Bengio, Yoshua;
Softplus
Energy to convert a liquid substance to a gas at a given pressure
the increased entropy of the gas phase overcomes the intermolecular forces. As a given quantity of matter always has a higher entropy in the gas phase
Enthalpy_of_vaporization
German physicist and mathematician (1822–1888)
der mechanischen Wärmetheorie He used the now abandoned unit 'Clausius' (symbol: Cl) for entropy. 1 Clausius (Cl) = 1 calorie/degree Celsius (cal/°C) =
Rudolf_Clausius
Resistance of a password to being guessed
entropy desired for each one. Their answers vary between 29 bits of entropy needed if only online attacks are expected, and up to 96 bits of entropy needed
Password_strength
Statistical mechanics of quantum-mechanical systems
{\displaystyle (r_{x},r_{y},r_{z})} lies on the surface of the unit ball. The von Neumann entropy attains its maximum value when ρ {\displaystyle \rho } is
Quantum_statistical_mechanics
Equations on thermodynamic quantities
size), the specific entropy (entropy per unit volume or per unit mass) does not depend on δ E {\displaystyle \delta E} . The entropy is thus a measure of
Fundamental thermodynamic relation
Fundamental_thermodynamic_relation
Equations in thermodynamics
space as it goes from one equilibrium state to another is that of entropy. The entropy is first viewed as an extensive function of all of the extensive
Thermodynamic_equations
Measure of algorithmic complexity
complexity, program-size complexity, descriptive complexity, or algorithmic entropy. It is named after Andrey Kolmogorov, who first published on the subject
Kolmogorov_complexity
System of codes for unambiguously representing measurement units
The Unified Code for Units of Measure (UCUM) is a system of codes for unambiguously representing measurement units. Its primary purpose is machine-to-machine
Unified Code for Units of Measure
Unified_Code_for_Units_of_Measure
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