Statistical Mechanics of Hard‐Particle Systems

1968 ◽  
Vol 48 (7) ◽  
pp. 3139-3155 ◽  
Author(s):  
Emmanuel Meeron ◽  
Arnold J. F. Siegert
Keyword(s):  
Statistical Mechanics ◽  
Particle Systems ◽  
Hard Particle

An Avoidance Model for Short-Range Order Induced by Soft Repulsions in Systems of Rigid Rods

1996 ◽  
Vol 463 ◽  
Author(s):  
Jining Han ◽  
Judith Herzfeld
Keyword(s):  
Short Range ◽  
Short Range Order ◽  
Mean Field ◽  
Axial Ratio ◽  
Field Approximation ◽  
Particle Systems ◽  
Range Order ◽  
Mean Field Approximation ◽  
Hard Particle ◽  
Rigid Rods

ABSTRACTThe effects of soft repulsions on hard particle systems are calculated using an avoidance model which improves upon the simple mean field approximation. The method not only yields a better free energy, but also gives an estimate for the short-range positional order induced by soft repulsions. The results indicate little short-range order for isotropically oriented rods. However, for parallel rods short-range order increases to significant levels as the particle axial ratio increases.

scholarly journals Simulations of Transport in Hard Particle Systems

2020 ◽  
Vol 180 (1-6) ◽  
pp. 474-533
Author(s):  
Pablo I. Hurtado ◽  
Pedro L. Garrido
Keyword(s):  
Particle Systems ◽  
Hard Particle

scholarly journals The entropic bond in colloidal crystals

2019 ◽  
Vol 116 (34) ◽  
pp. 16703-16710 ◽  
Author(s):  
Eric S. Harper ◽  
Greg van Anders ◽  
Sharon C. Glotzer
Keyword(s):  
Chemical Bonding ◽  
Minimal Model ◽  
Colloidal Crystals ◽  
Particle Systems ◽  
Chemical Bonds ◽  
Hard Particle ◽  
Natural Phenomena ◽  
Vast Array ◽  
Colloidal Crystallization ◽  
Hexagonal Nanoplates

A vast array of natural phenomena can be understood through the long-established schema of chemical bonding. Conventional chemical bonds arise through local gradients resulting from the rearrangement of electrons; however, it is possible that the hallmark features of chemical bonding could arise through local gradients resulting from nonelectronic forms of mediation. If other forms of mediation give rise to “bonds” that act like conventional ones, recognizing them as bonds could open new forms of supramolecular descriptions of phenomena at the nano- and microscales. Here, we show via a minimal model that crowded hard-particle systems governed solely by entropy exhibit the hallmark features of bonding despite the absence of chemical interactions. We quantitatively characterize these features and compare them to those exhibited by chemical bonds to argue for the existence of entropic bonds. As an example of the utility of the entropic bond classification, we demonstrate the nearly equivalent tradeoff between chemical bonds and entropic bonds in the colloidal crystallization of hard hexagonal nanoplates.

Data-parallel simulations of hard-particle systems

1992 ◽  
Vol 73 (1-3) ◽  
pp. 40-46
Author(s):  
Ernesto Bonomi ◽  
Marco Tomassini
Keyword(s):  
Particle Systems ◽  
Hard Particle ◽  
Parallel Simulations ◽  
Data Parallel

scholarly journals THERMODYNAMIC LIMIT IN STATISTICAL PHYSICS

2014 ◽  
Vol 28 (09) ◽  
pp. 1430004 ◽  
Author(s):  
A. L. KUZEMSKY
Keyword(s):  
Statistical Mechanics ◽  
Thermodynamic Limit ◽  
Statistical Physics ◽  
Formal Series ◽  
Distribution Functions ◽  
Particle Systems ◽  
Boltzmann Equations ◽  
Qualitative Understanding ◽  
Statistical Ensembles ◽  
Equipartition Of Energy

The thermodynamic limit in statistical thermodynamics of many-particle systems is an important but often overlooked issue in the various applied studies of condensed matter physics. To settle this issue, we review tersely the past and present disposition of thermodynamic limiting procedure in the structure of the contemporary statistical mechanics and our current understanding of this problem. We pick out the ingenious approach by Bogoliubov, who developed a general formalism for establishing the limiting distribution functions in the form of formal series in powers of the density. In that study, he outlined the method of justification of the thermodynamic limit when he derived the generalized Boltzmann equations. To enrich and to weave our discussion, we take this opportunity to give a brief survey of the closely related problems, such as the equipartition of energy and the equivalence and nonequivalence of statistical ensembles. The validity of the equipartition of energy permits one to decide what are the boundaries of applicability of statistical mechanics. The major aim of this work is to provide a better qualitative understanding of the physical significance of the thermodynamic limit in modern statistical physics of the infinite and "small" many-particle systems.

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