Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Density fluctuations and entropy

Hernando1, Blum

  • 1Department of Physics, Comision Nacional de Energia Atomica, Avenida del Libertador 8250, 1429 Buenos Aires, Argentina.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Leading ruelle resonances of chaotic maps

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

Dreams and affect: a hundred years later

The International journal of psycho-analysis·2000
Same author

Underquaternized anion exchange resins as covalent scavengers

Organic letters·2000
Same author

Monomelic amyotrophy: non progressive atrophy of the upper limb.

Journal of clinical neuroscience : official journal of the Neurosurgical Society of Australasia·2000
Same author

Determining replication for discrimination among microbial communities in environmental samples using community-level physiological profiles.

FEMS microbiology ecology·2000
Same author

An Experimental Study on the Structure of Cosmic Dust Aggregates and Their Alignment by Motion Relative to Gas.

The Astrophysical journal·1999
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

A new entropy functional is proposed, accurately describing systems at both high and low densities. This functional incorporates density fluctuations and offers a renormalized approximation for improved accuracy in statistical mechanics.

Area of Science:

  • Statistical Mechanics
  • Thermodynamics
  • Physical Chemistry

Background:

  • Accurate entropy calculations are crucial for understanding thermodynamic properties.
  • Existing entropy functionals often struggle with accuracy across different density regimes.

Purpose of the Study:

  • To develop a novel entropy functional valid in both high- and low-density limits.
  • To incorporate the effects of p-body density fluctuations into the entropy calculation.
  • To provide a numerically tractable expression for entropy.

Main Methods:

  • Analysis of the functional dependence of the most general entropy expression.
  • Derivation of a new entropy form incorporating p-body density fluctuations (alpha(p)).
  • Renormalization of the ring approximation (S(r)) via S_insertion.

Related Experiment Videos

Main Results:

  • The term S(c) depends on p-body density fluctuations.
  • In the thermodynamic limit, S(c) is a functional of the one-body distribution function.
  • A numerical expression for entropy [Eq. (33)] is obtained via infinite-order summation of density contributions with a renormalized ring approximation.

Conclusions:

  • The proposed entropy functional offers improved asymptotic correctness.
  • The study provides a pathway to more accurate entropy calculations, particularly for systems like hard spheres.
  • The findings relate to the incompressible approximation and offer preliminary numerical validation.