The Lennard-Jones Lecture. The concept of Brownian motion in modern statistical mechanics

1987 ◽  
Vol 83 ◽  
pp. 1 ◽  
Author(s):  
J. M. Deutch ◽  
I. Oppenheim
Keyword(s):  
Brownian Motion ◽  
Statistical Mechanics ◽  
Lennard Jones

Brownian Motion

2018 ◽  
pp. 1-24
Author(s):  
Giovanni Zocchi
Keyword(s):  
Brownian Motion ◽  
Statistical Mechanics ◽  
Concentration Gradient ◽  
Nonequilibrium Statistical Mechanics ◽  
Thermal Fluctuations ◽  
Nonequilibrium System ◽  
Individual Particle ◽  
Equilibrium Concept ◽  
Self Diffusion ◽  
Main Ideas

This chapter provides an introduction to the main ideas of Brownian motion. Brownian motion connects equilibrium and nonequilibrium statistical mechanics. It connects diffusion—a nonequilibrium phenomenon—with thermal fluctuations—an equilibrium concept. More precisely, diffusion with a net flow of particles, driven by a concentration gradient, pertains to a nonequilibrium system, since there is a net current. Without a concentration gradient, the system is macroscopically in equilibrium, but each individual particle undergoes self-diffusion just the same. In this sense, Brownian motion is at the border of equilibrium and nonequilibrium statistical mechanics.

Statistical mechanics of holonomic systems as a Brownian motion on smooth manifolds

2015 ◽  
Vol 528 (5) ◽  
pp. 381-393 ◽  
Author(s):  
Fabio Manca ◽  
Pierre-Michel Déjardin ◽  
Stefano Giordano
Keyword(s):  
Brownian Motion ◽  
Statistical Mechanics ◽  
Smooth Manifolds ◽  
Holonomic Systems

Computer studies of Brownian motion in a Lennard‐Jones fluid: The Stokes law

1982 ◽  
Vol 76 (6) ◽  
pp. 3260-3263 ◽  
Author(s):  
J. J. Brey ◽  
J. Gómez Ordóñez
Keyword(s):  
Brownian Motion ◽  
Lennard Jones ◽  
Computer Studies

The Reality of Atoms

2017 ◽  
Author(s):  
Frank S. Levin
Keyword(s):  
Nineteenth Century ◽  
Brownian Motion ◽  
Statistical Mechanics ◽  
Atomic Structure ◽  
Periodic Table ◽  
Albert Einstein ◽  
Ancient Greek ◽  
Structure Of Molecules ◽  
Greek Philosopher ◽  
Jean Perrin

Chapter 3 focuses on the concept of atoms, which dates back to the ancient Greek philosopher Leucippus, who claimed that everything consisted of them. This view began to be accepted among scientists when John Dalton championed it in the 1800s, although he was wrong in his atomic structure of molecules. That was corrected not long after by Jöns Berzelius. From then on the reality of atoms, and whether those of chemistry were the same as those of physics was a matter of debate. The theory of statistical mechanics, developed in the second half of the nineteenth century, helped establish their reality for most physicists, while many chemists were won over later, in part by the periodic table developed by the Russian Dimitri Mendeleev. Nearly every scientist was finally convinced by the explanation of Brownian motion by Albert Einstein and Marian Smoluchowski, whose formulas were verified by Jean Perrin in 1909.

scholarly journals Chemical potential of a Lennard Jones fluid

2010 ◽  
pp. 51-55
Author(s):  
V. Celebonovic
Keyword(s):  
Phase Equilibrium ◽  
Statistical Mechanics ◽  
Large Distance ◽  
Chemical Potential ◽  
Analytical Calculation ◽  
Small Distance ◽  
Giant Planets ◽  
Icy Satellites ◽  
Lennard Jones ◽  
Quark Stars

The aim of this paper is to present results of analytical calculation of chemical potential of a Lennard Jones (LJ) fluid performed in two ways: by using the thermodynamical formalism and the formalism of statistical mechanics. The integration range is divided into two regions. In the small distance region, which is r ? ? in the usual notation, the integration range had to be cut off in order to avoid the occurrence of divergences. In the large distance region, the calculation is technically simpler. The calculation reported here will be useful in all kinds of studies concerning phase equilibrium in a LJ fluid. Interesting kinds of such systems are the giant planets and the icy satellites in various planetary systems, but also the (so far) hypothetical quark stars.

Sign in / Sign up

Export Citation Format

Share Document