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

Enhanced sampling in numerical path integration: an approximation for the quantum statistical density matrix based on

T W Whitfield1, J E Straub

  • 1Department of Chemistry, Boston University, Boston, Massachusetts 02215, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
Summary

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

Factors governing fibrillogenesis of polypeptide chains revealed by lattice models.

Physical review letters·2011
Same author

Probing the mechanisms of fibril formation using lattice models.

The Journal of chemical physics·2008
Same author

Dissecting contact potentials for proteins: relative contributions of individual amino acids.

Proteins·2007
Same author

Structural properties of liquid N-methylacetamide via ab initio, path integral, and classical molecular dynamics.

The Journal of chemical physics·2006
Same author

Structure and hydrogen bonding in neat N-methylacetamide: classical molecular dynamics and Raman spectroscopy studies of a liquid of peptidic fragments.

The journal of physical chemistry. B·2006
Same author

Continuous anisotropic representation of coarse-grained potentials for proteins by spherical harmonics synthesis.

Journal of molecular graphics & modelling·2004

This study introduces an effective potential approximation for quantum statistical density matrices, inspired by nonextensive thermostatistics. The method enhances numerical path integration simulations, particularly those with broken ergodicity.

Area of Science:

  • Quantum statistical mechanics
  • Nonextensive thermostatistics
  • Computational physics

Background:

  • Quantum statistical density matrices are crucial for understanding many-body systems.
  • Traditional methods face challenges with complex potentials and ergodicity.
  • Nonextensive thermostatistics offers alternative frameworks for statistical mechanics.

Purpose of the Study:

  • To examine a novel approximation for the quantum statistical density matrix.
  • To explore its application in generalized nonextensive statistical ensembles.
  • To develop enhanced sampling methods for numerical path integration.

Main Methods:

  • Replacing physical potential energy with an effective potential.
  • Analyzing convergence properties of averages with the effective potential.

Related Experiment Videos

  • Introducing path integral energy estimators for temperature-dependent potentials.
  • Implementing enhanced sampling for path integral simulations.

    • Main Results:

    • The proposed approximation shows promise for quantum statistical density matrices.
    • The effective potential method demonstrates convergence.
    • Enhanced sampling improves path integral simulations, especially for systems with broken ergodicity.
    • Temperature-dependent path integral energy estimators are validated.

    Conclusions:

    • The approximation based on nonextensive thermostatistics is effective for quantum statistical density matrices.
    • The enhanced sampling method improves the efficiency of path integral simulations.
    • This approach offers a valuable tool for studying systems with complex dynamics and broken ergodicity.