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...tistical mechanics of two hard spheres in a spherical pore, exact analytic results in D dimension", Journal of Mathematical Physics '''51''' 033303 (2010)]</ ...

...obi and Ron Elber "Distance-dependent, pair potential for protein folding: Results from linear optimization", Proteins: Structure, Function, and Genetics '''4 ...

...tion code, intended both for users and developers. The object-orientedness results in faster development - new features can be easily "plugged in" to the code ...

..., Jian Wang, and Russel J. Boyd "Polarizable point-charge model for water: Results under normal and extreme conditions", Journal of Chemical Physics '''105''' ...

...roperty in these gases 15 years ago; however, since he never published his results, it is only by great luck that I knew it."</blockquote> ...

...ors]], [[matrices]], and [[tensors]]. Maxima yields high precision numeric results by using exact fractions, arbitrary precision integers, and variable precis ...

A '''dual lattice''' results from an original one by assigning cells to each of ...

....doi.org/10.1063/1.1743956 W. W. Wood and J. D. Jacobson "Preliminary Results from a Recalculation of the Monte Carlo Equation of State of Hard Spheres", ...

...ry of the unique spirit of [[Lars Onsager]] and his passion for analytical results. It is awarded by the [http://www.aps.org American Physical Society]. ...

...e thermodynamic behavior of a system is asymptotically approximated by the results of [[statistical mechanics]] as <math>N \rightarrow \infty</math>, and calc ...

<ref>David Ruelle "Statistical mechanics: rigorous results" World Scientific Publishing (1969) &sect; 7.5 (pp. 190-192) ISBN 978-981-0 ...

...a_i)</math> to an external heat bath of temperature <math>T_0</math>. This results in the modified equation of motion (Ref. 1 Eq. 8): ...

results ...

...S. D. Overduin and G. N. Patey "Comparison of simulation and experimental results for a model aqueous tert-butanol solution", Journal of Chemical Physics ''' ...

*David Ruelle "Statistical mechanics: rigorous results" World Scientific Publishing (1969) ISBN 978-981-02-3862-9 ...

...''Dirichlet tesselations''', '''Wigner-Seitz cells''') is the diagram that results when a cell is defined around each of the points (or nodes, than to any of the others. This very intuitive partition of space results in the Voronoi tessellation. The ...

...on and to prepare the input for computations and analyse the computational results. ...

For some results of three-dimensional lattice hard sphere systems see For results of two-dimensional systems (lattice hard disks) with different exclusion cr ...

<tt><nowiki>[http://www.sklogwiki.org]</nowiki></tt> results in [http://www.sklogwiki.org]<br /> <tt><nowiki>[http://www.sklogwiki.org sklogwiki]</nowiki></tt>results in [http://www.sklogwiki.org sklogwiki]<br /> ...

Inserting these two results into the chain-rule theorem of functional derivatives, ...

...l McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria '''255''' pp. 37-45 (2007)] ...

The following are pages of results for a number of [[water models]]. '''Note:''' these links lead to pages tha ...

...ed on Carnot's Theory of the Motive Power of Heat, and calculated from the Results of Regnault's Experiments on the Pressure and Latent Heat of Steam", Transa ...

...stages the function <math> f(E) </math> hardly changes and the simulation results of these last stages can be considered as a good description of the actual === Refinement of the results === ...

...7/BF01011655 Yaoqi Zhou and George Stell "The hard-sphere fluid: New exact results with applications", Journal of Statistical Physics '''52''' 1389-1412 (1988 ...

...Ion association in aqueous LiCl solutions at high concentration: Predicted results via molecular simulation", Journal of Chemical Physics '''124''' 154509 (20 ...

...cardo Fantoni and Achille Giacometti "Penetrable square-well fluids: Exact results in one dimension", Physical Review E '''77''' 051206 (2008)]</ref> ...

...o Urbani, and Francesco Zamponi "Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions" Annual Review of Condensed Matter Physi ...

<li>extremely light-weight code (a few lines) with reproducible results in any high-level language and on any platform; </li> ...

...performed at a [[reduced temperature]] of <math>T^*=1.5</math> reproduces results for the [[hard sphere model]] (for example, the [[Carnahan-Starling equatio ...

.../ref> Eq. 6) fitted to obtain the best [[hard sphere model | hard sphere]] results ...

...hysical properties of fresh water and sea water", Report on the scientific results of the voyage of H.M.S. Challenger during the years 1873-76. Physics and ch ...

...on between Self-Diffusion and Viscosity in Dense Liquids: New Experimental Results from Electrostatic Levitation", Physical Review Letters '''107''' 165902 (2 ...

...up into modules. Many of the modules can be used separately to process the results of other simulations. They include routines to calculate forces and energie ...

...Bryk "Direct Calculation of Interfacial Tensions from Computer Simulation: Results for Freely Jointed Tangent Hard Sphere Chains", Physical Review E '''75''' ...

Using the previously obtained results the following, somewhat unsophisticated, procedure can be used to obtain a #Fit the simulation results for each branch by using appropriate functional forms: <math> \left. \mu_{v ...

...penetrating. There are no hydrogen bonds between these sub-lattices. This results in a tetragonal structure with the I4₁/amd space group and eight ...

...ynthetic polymers, have a very specific sequence (and hence length), which results in a specific three-dimensional structure. Presently much computational eff ...

...0.1063/1.431297 H. J. Hilhorst and J. M. Deutch "Analysis of Monte Carlo results on the kinetics of lattice polymer chains with excluded volume", Journal of ...

.... Schrøder, and Jeppe C. Dyre "Pressure-energy correlations in liquids. I. Results from computer simulations", Journal of Chemical Physics '''129''' 184507 (2 ...

Similar results have been found using the [[BBGKY hierarchy]] <ref>[http://dx.doi.org/10.10 Experimental results <ref>[http://dx.doi.org/10.1103/PhysRevLett.118.158001 Alice L. Thorneywork ...

#809166;text-align:left;color:#000;padding:0.2em 0.4em;">Results; systems and models</h2> ...

...dditive hard sphere mixtures: Monte Carlo simulation and integral equation results", Molecular Physics '''59''' pp. 275-290 (1986)] ...

This relation was discovered experimentally (by fitting the results to a correctly guessed model) by [[Pierre Curie]]. ...

...n (from the choice of insertion or deletion). The <math> 1/V</math> factor results from placing the particle with uniform probability anywhere inside the sim where the <math> 1/(N+1) </math> factor results from random removal of one among <math>N+1</math> particles. Therefore, the ...

...ero. With the use of reduced units (unit length= hard-sphere diameter) the results arising from this singular interaction potential (hard core) can be transfe ...lanck’s constant]] (once again, using reduced units allows one to transfer results between situations at the same values of the density and of the de Broglie ...

...rl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria '''255''' pp. 37-45 (2007)] ...

...ular Physics '''94''' pp. 439-446 (1998)]</ref>), both indicating that the results for the reaction field and the [[Ewald sum]] are equivalent. However, the r ...

...nd mean cluster size for continuum-percolation models: Computer-simulation results", Journal of Chemical Physics '''89''', 6427 (1988)] </ref> <ref name=beck Given the results of <math> X_{\rm per}(x,L) </math> for a given system size <math> L </math> ...

...tto, Paolo Rossi, and Ettore Vicari "25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice", Phys ...tp://dx.doi.org/10.4249/scholarpedia.10313 Barry McCoy "Ising model: exact results", Scholarpedia, 5(7):10313 (2010)] ...

Which results in: ...

In 3-dimensions analytical results were derived for <math>B_2</math> by [[Johannes Diderik van der Waals]]<re ...0.1063/1.1740207 Marshall N. Rosenbluth and Arianna W. Rosenbluth "Further Results on Monte Carlo Equations of State", Journal of Chemical Physics '''22''' pp ...

state is to fit [[Computer simulation techniques | computer simulation]] results. ...

...\gamma </math> have to be taken into account in order to obtain accurate results for [[Models |model systems]]. ...

...Fourier analysis | Fourier transform]] of the radial distribution function results in the [[structure factor]], which is experimentally measurable. The follow ...

'''Computer simulations''' are used to obtain quantitative results, under various thermodynamic conditions, for [[realistic models]] which are ...

...0.1063/1.1740207 Marshall N. Rosenbluth and Arianna W. Rosenbluth "Further Results on Monte Carlo Equations of State", Journal of Chemical Physics '''22''' pp ....doi.org/10.1063/1.1743956 W. W. Wood and J. D. Jacobson "Preliminary Results from a Recalculation of the Monte Carlo Equation of State of Hard Spheres", ...

...wler, H. W. Graben, Andrew G. De Rocco and M. J. Feinberg "Some Additional Results for the Triangle-Well Potential Model", Journal of Chemical Physics '''43'' ...

#Extended kinetic models with waiting-time distributions: exact results (A.B. Kolomeisky and M.E.F.) J. Chem. Phys. '''113''', 10 867-877 (2000) ...

...", Zeitschrift für Physikalische Chemie '''119''' pp. 277-301 (1926)</ref> results in the following nucleation rate: ...

...tto, Paolo Rossi, and Ettore Vicari "25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice", Phys ...

...ed on Carnot's Theory of the Motive Power of Heat, and calculated from the Results of Regnault's Experiments on the Pressure and Latent Heat of Steam", Philos ...

[[Category: Results]] ...

Jiri Kolafa produced a slight correction to the C-S EOS which results in improved accuracy <ref>[http://dx.doi.org/10.1063/1.4870524 Miguel Roble ...

...tto, Paolo Rossi, and Ettore Vicari "25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice", Phys ...

...ond. Enforcing this condition makes it possible to compare the simulations results with [[Wertheim's first order thermodynamic perturbation theory (TPT1)| Wer ...

.../00268970802116906 Morad Alawneh and Douglas Henderson "Molecular dynamics results for the radial distribution functions of highly asymmetric hard sphere mixt ...

...O2:  Comparison between 1H NMR Spectroscopic Data and Molecular Simulation Results", Journal of Physical Chemistry B '''111''' pp. 9871-9878 (2007)]</ref> ...

...rl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria '''255''' pp. 37-45 (2007)] ...

...s, there will be less value in stashing new scientific ideas, methods, and results in subscription-only journals and databases, and more value in wide-open co ...another, while their notion of an innovative method of promoting research results is the obligatory ‘project web site’. Such sites usually offer little more ...

Then we have the following exact results: ...

...e change to the distances between rods: <math> y_k = x_k - x_{k-1} </math> results in ...

...659 Phil Attard "Pair-hypernetted-chain closure for three-body potentials: Results for argon with the Axilrod-Teller triple-dipole potential", Physical Review ...

results can be trusted to be those of an equilibrium simulation run. (note that [[D ...

...cial properties using molecular simulation with the reaction field method: Results for different water models", Journal of Chemical Physics '''132''' 184102 ( ...

...cillation frequency must be given by <math>\omega^2=\kappa/m</math>, which results in: ...

.... Vorontsov-Velyaminov "Centroid molecular dynamics: Comparison with exact results for model systems", Journal of Chemical Physics '''133''' 194103 (2010)]</r ...

...maticas.unicartagena.edu.co/ Boltzmann, Vlasov and related equations: Last results and open problems] 23-27 June (2014) Cartagena (Colombia) *[http://www.th.u-psud.fr/ANALYTSTATPHYS-2015/ Analytical Results in Statistical Physics] November 5-6 (2015) Paris (France) ...