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....doi.org/10.1080/00268977500102511 Douglas Henderson "A simple equation of state for hard discs", Molecular Physics '''30''' pp. 971-971 (1975)]</ref>): *<math> N </math> is the number of particles ...

...'' are generally expressions that relate the macroscopic observables, or ''state variables'', such as [[pressure]], <math>p</math>, volume, <math>V</math>, *[[Law of corresponding states]] ...

The stable phase of the [[hard sphere model]] at high densities is thought to have a [[Building ...proposed for this system. The usual procedure to obtain precise equations of ...

The '''van der Waals equation of state''', developed by [[ Johannes Diderik van der Waals]] <ref>J. D. van der Wa ...r <math> b </math> introduces somehow the repulsive behavior between pairs of molecules at short distances, ...

.... E. Starling,"Equation of State for Nonattracting Rigid Spheres" Journal of Chemical Physics '''51''' pp. 635-636 (1969)] </ref> Eqn. 10). *<math> N </math> is the number of particles ...

The '''virial equation of state''' is used to describe the behavior of diluted gases. ...an expansion of the [[compressibility factor]], <math> Z </math>, in terms of either the ...

...state]] of the [[hard sphere model]], in various dimensions, has long been of interest. ...pId=PU00014537 J. D. van der Waals "Simple deduction of the characteristic equation for substances with extended and composite molecules", Koninklijke Nederlan ...

...y written as ''B'' or as <math>B_2</math>. The second [[Virial equation of state |virial coefficient]] represents the initial departure from [[ideal gas |id ...ir potential]], ''T'' is the [[temperature]] and <math>k_B</math> is the [[Boltzmann constant]]. Notice that the expression within the parenthesis ...

...ller, "Equation of State Calculations by Fast Computing Machines", Journal of Chemical Physics '''21''' pp.1087-1092 (1953)]</ref> ...f W. W. Wood "Monte Carlo calculations of the equation of state of systems of 12 and 48 hard circles", Los Alamos Scientific Laboratory Report '''LA-2827 ...

...on as a reference system in fluid-phase free-energy calculations", Journal of Chemical Physics '''145''', 194101 (2016).]</ref> showed that this model ca ...b|right|Interatomic potential associated with the UFM for different values of p.<ref name="PRE"></ref>]] ...

...In that same year Martinez-Raton and Cuesta described cubes and mixtures of cubes (See [[Parallel hard cubes#Mixtures | Mixtures]] <ref name="6and7"> < ====Usefulness of the Model==== ...

'''Benjamin Widom''' was co-winner of the [[Boltzmann Award]] ...for the [[Equations of state |equation of state]] and [[surface tension]] of fluids near [[critical points]]." ...

...ength <math>L</math>. One could also think of this model as being a string of [[hard sphere model | hard spheres]] confined to 1 dimension (not to be co ...the center of the k-th rod, along with an external potential. Thus, the [[Boltzmann factor]] is ...

The so-called '''Gibbs-Duhem integration''' refers to a number of methods that couple ...id A. Kofke, "Gibbs-Duhem integration: a new method for direct evaluation of phase coexistence by molecular simulation", Molecular Physics '''78''' pp ...

...urface, in a direction perpendicular to that surface, i.e. the scalar part of the [[stress]] tensor under equilibrium/hydrostatic conditions. [[Boltzmann constant]], <math>T</math> is the [[temperature]] and <math>Q (N,V,T)</math ...

...in [[classical thermodynamics]] is intimately related to the [[zeroth law of thermodynamics]]; two systems having to have the same temperature if they a By making use of the [[Equation of State: Ideal Gas |ideal gas law]] one can define an absolute temperature ...

The principle of '''detailed balance''' is formulated for kinetic systems which are decompos ...Lewis "A new principle of equilibrium" Proceedings of the National Academy of Sciences '''11''' pp. 179-183 (1925)]''</ref></blockquote> ...

The '''Lennard-Jones''' [[intermolecular pair potential]] is a special case of the [[Mie potential]] and takes its name from [[ Sir John Edward Lennard-J ..., Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character '''106''' pp. 463-477 (1924)] Eq. 2.0 ...

The following is a chronological list of conferences, seminars, workshops, schools or meetings related to thermodyna ...gs/BegRohu2024/index.html The Beg Rohu Summer School: Concepts and Methods of Statistical Physics] 3-15 June (2024) Saint Pierre Quiberon (France) ...