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Related Concept Videos

Thermodynamic Systems01:06

Thermodynamic Systems

A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
Consider an example of  tea boiling in a kettle. The tea and...
Maxwell's Thermodynamic Relations01:23

Maxwell's Thermodynamic Relations

Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
All thermodynamic potentials are exact differentials. Therefore, their second-order...
Thermodynamic Potentials01:26

Thermodynamic Potentials

Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
Internal Energy and Formulation of the First Law01:19

Internal Energy and Formulation of the First Law

In thermodynamics, energy is used to describe and predict the behavior of physical systems. The internal energy (U) of a system is the sum of all microscopic forms of energy within the system, including molecular kinetic and potential energies, as well as contributions from electronic and nuclear energy levels. Although the individual components of internal energy cannot be measured directly, the internal energy of any system is well defined within thermodynamic theory.The first law of...
Thermodynamic Processes01:25

Thermodynamic Processes

A thermodynamic process is a path through a sequence of states that takes a system from an initial state to a final state. In a cyclic process, the system returns to its initial state, so the changes in state properties and state functions (ΔT, Δp, ΔV, ΔU, ΔH) over one complete cycle are zero. However, heat and work transfers can still occur during the cycle, and the net heat and net work over the cycle need not be zero.A reversible process occurs when the system is infinitesimally close to...
The Entropy as a State Function01:14

The Entropy as a State Function

Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...

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Related Experiment Video

Updated: Jul 7, 2026

Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames
10:29

Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames

Published on: June 1, 2016

The self-referential method combined with thermodynamic integration.

Martin B Sweatman1, Alexander A Atamas, Jean-Marc Leyssale

  • 1Department of Chemical and Process Engineering, University of Strathclyde, Glasgow G1 1XJ, United Kingdom. martin.sweatman@strath.ac.uk

The Journal of Chemical Physics
|February 20, 2008
PubMed
Summary
This summary is machine-generated.

This study combines the self-referential method with thermodynamic integration for efficient free energy calculations in crystalline solids. The new technique shows excellent agreement with prior work and is significantly faster than parameter hopping.

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Area of Science:

  • Computational physics
  • Materials science
  • Thermodynamics

Background:

  • Calculating the free energy of crystalline solids is crucial for understanding material properties.
  • Existing methods like parameter hopping can be computationally intensive and inefficient.
  • The self-referential method offers a novel approach to free energy calculations.

Purpose of the Study:

  • To develop a more convenient and efficient technique for calculating the free energy of crystalline solids.
  • To combine the self-referential method with thermodynamic integration.
  • To validate the new technique by comparing results with previous studies.

Main Methods:

  • The self-referential method was integrated with thermodynamic integration.
  • Molecular simulations were performed on hard sphere and Lennard-Jones crystalline solids.
  • The chemical potential of the simulated systems was calculated.

Main Results:

  • The combined technique proved to be convenient and efficient.
  • Results for the chemical potential of hard sphere and Lennard-Jones crystals showed good agreement with previous work.
  • The new technique demonstrated approximately 100 times greater efficiency compared to parameter hopping for small system sizes.

Conclusions:

  • The integration of the self-referential method and thermodynamic integration offers a significant advancement in calculating free energy for crystalline solids.
  • This enhanced method provides a faster and more efficient alternative to existing techniques.
  • The findings are applicable to computational materials science and condensed matter physics.