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Related Concept Videos

Adiabatic Processes for an Ideal Gas01:18

Adiabatic Processes for an Ideal Gas

When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
Pressure and Volume in an Adiabatic Process01:27

Pressure and Volume in an Adiabatic Process

Free expansion of a gas is an adiabatic process. However, there are few differences between free expansion and adiabatic expansion. During free expansion, no work is done, and there is no change in internal energy. But, for an adiabatic expansion, work is done, and there is a change in internal energy. During an adiabatic process, the relation between the pressure and volume is obtained from the condition for the adiabatic process, that is,
Work Done in an Adiabatic Process01:20

Work Done in an Adiabatic Process

Consider the adiabatic compression of an ideal gas in the cylinder of an automobile diesel engine. The gasoline vapor is injected into the cylinder of an automobile engine when the piston is in its expanded position. The temperature, pressure, and volume of the resulting gas-air mixture are 20 °C, 1.00 x 105 N/m2, and 240 cm3 , respectively. The mixture is then compressed adiabatically to a volume of 40 cm3. Note that, in the actual operation of an automobile engine, the compression is not...
Adsorption Isotherms II01:25

Adsorption Isotherms II

Brunauer, Emmett, and Teller (BET) introduced a theory in 1938 that modified Langmuir's assumptions to explain multilayer physical adsorption. This theory is applicable to Type II isotherms and provides a more realistic picture of adsorption processes. The BET theory assumes a uniform solid surface with localized adsorption sites, where adsorption at one site doesn't affect adsorption at neighboring sites. This theory also allows for the possibility of additional molecules being adsorbed on top...
Adsorption Isotherms I01:29

Adsorption Isotherms I

Adsorption isotherms are mathematical models that describe how molecules in a gas or liquid phase interact with surfaces. Two of the most common isotherm models are the Langmuir and Freundlich isotherms, which relate to Type I monolayer chemisorption. The Langmuir model is based on four key assumptions:• Adsorption cannot exceed monolayer coverage.• All surface sites are equivalent.• Molecules adsorb only at vacant sites.• There are no interactions between adsorbed molecules.Consider the...
Variation of Atmospheric Pressure01:18

Variation of Atmospheric Pressure

Change in atmospheric pressure with height is particularly interesting. The decrease in atmospheric pressure with increasing altitude is due to the decreasing gravitational force per unit area as we move away from the surface of the earth.
Assuming the air temperature is constant at a given altitude and that the ideal gas law of thermodynamics describes the atmosphere to a good approximation, one can find the variation of atmospheric pressure with height.
Let p(y) be the atmospheric pressure at...

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Related Experiment Video

Updated: May 23, 2026

Exploring the Effects of Atmospheric Forcings on Evaporation: Experimental Integration of the Atmospheric Boundary Layer and Shallow Subsurface
13:27

Exploring the Effects of Atmospheric Forcings on Evaporation: Experimental Integration of the Atmospheric Boundary Layer and Shallow Subsurface

Published on: June 8, 2015

Digital adiabatic evolution is universally accurate.

Yangyu Lu1,2,3, Yifei Huang2, Dong An4

  • 1School of Computer Science, Peking University, Beijing, 100871, China.

Nature Communications
|May 21, 2026
PubMed
Summary
This summary is machine-generated.

Digital adiabatic evolution is surprisingly accurate and robust to errors, contrary to prior assumptions. This quantum physics simulation method is more efficient than previously thought, even on near-term quantum hardware.

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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

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Last Updated: May 23, 2026

Exploring the Effects of Atmospheric Forcings on Evaporation: Experimental Integration of the Atmospheric Boundary Layer and Shallow Subsurface
13:27

Exploring the Effects of Atmospheric Forcings on Evaporation: Experimental Integration of the Atmospheric Boundary Layer and Shallow Subsurface

Published on: June 8, 2015

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Area of Science:

  • Quantum Physics
  • Computational Quantum Mechanics
  • Quantum Information Science

Background:

  • Adiabatic evolution is a fundamental concept in quantum physics, crucial for various quantum algorithms.
  • Digital simulations of adiabatic processes were considered resource-intensive due to long evolution times and accumulating algorithmic errors.

Purpose of the Study:

  • To demonstrate the intrinsic accuracy and robustness of digital adiabatic evolution against simulation errors.
  • To challenge the prevailing view of digital adiabatic simulations as inefficient and error-prone.

Main Methods:

  • Analysis of two Hamiltonian simulation techniques: Trotterization and generalized quantum signal processing.
  • Theoretical proof that simulation error does not increase with time for these methods.
  • Numerical simulations of adiabatic algorithms applied to molecular systems and linear equations.

Main Results:

  • Proved that digital adiabatic evolution is intrinsically accurate and robust, with simulation errors not accumulating over time.
  • Demonstrated that accurate time-dependent adiabatic evolution can be achieved using time-independent Hamiltonian simulation algorithms.
  • Achieved a 10^6 times tighter estimation for Trotterization error compared to previous analyses for the transverse field Ising model.

Conclusions:

  • Digital adiabatic evolution is substantially more efficient and accurate than previously assumed.
  • The findings establish the fundamental robustness of digital adiabatic evolution.
  • Provides a foundation for accurate and efficient implementations on both fault-tolerant and near-term quantum platforms.