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  2. Maximum term method - Wikipedia

    en.wikipedia.org/wiki/Maximum_term_method

    The maximum-term method is a consequence of the large numbers encountered in statistical mechanics.It states that under appropriate conditions the logarithm of a summation is essentially equal to the logarithm of the maximum term in the summation.

  3. List of textbooks in thermodynamics and statistical mechanics

    en.wikipedia.org/wiki/List_of_textbooks_in...

    Thermodynamics and statistical mechanics. {}: CS1 maint: multiple names: authors list Translated by J. Kestin (1956) New York: Academic Press. Ehrenfest, Paul and Tatiana (1912). The conceptual foundations of the statistical approach in mechanics. German Encyclopedia of Mathematical Sciences.

  4. Translational partition function - Wikipedia

    en.wikipedia.org/wiki/Translational_partition...

    In statistical mechanics, the translational partition function, is that part of the partition function resulting from the movement (translation) of the center of mass. For a single atom or molecule in a low pressure gas, neglecting the interactions of molecules , the canonical ensemble q T {\displaystyle q_{T}} can be approximated by: [ 1 ]

  5. Compressibility equation - Wikipedia

    en.wikipedia.org/wiki/Compressibility_equation

    In statistical mechanics and thermodynamics the compressibility equation refers to an equation which relates the isothermal compressibility (and indirectly the pressure) to the structure of the liquid.

  6. Statistical mechanics - Wikipedia

    en.wikipedia.org/wiki/Statistical_mechanics

    In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. Sometimes called statistical physics or statistical thermodynamics, its applications include many problems in the fields of physics, biology, [1] chemistry, neuroscience, [2] computer science, [3] [4] information theory [5] and ...

  7. Partition function (statistical mechanics) - Wikipedia

    en.wikipedia.org/wiki/Partition_function...

    This dependence on microscopic variables is the central point of statistical mechanics. With a model of the microscopic constituents of a system, one can calculate the microstate energies, and thus the partition function, which will then allow us to calculate all the other thermodynamic properties of the system.

  8. Thermodynamic limit - Wikipedia

    en.wikipedia.org/wiki/Thermodynamic_limit

    The thermodynamic limit is essentially a consequence of the central limit theorem of probability theory. The internal energy of a gas of N molecules is the sum of order N contributions, each of which is approximately independent, and so the central limit theorem predicts that the ratio of the size of the fluctuations to the mean is of order 1/N 1/2.

  9. Radial distribution function - Wikipedia

    en.wikipedia.org/wiki/Radial_distribution_function

    calculation of () Radial distribution function for the Lennard-Jones model fluid at =, =.. In statistical mechanics, the radial distribution function, (or pair correlation function) () in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference particle.