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 Concept Videos

Algebraic Expressions01:26

Algebraic Expressions

376
Algebraic expressions are essential in mathematics. They represent relationships through variables, constants, and operations. These expressions help describe patterns and solve problems in various mathematical fields. Understanding their components, classifications, and operations allows for efficient simplification and manipulation.Each algebraic expression consists of individual parts, including numbers and symbols, that work together to form meaningful mathematical statements. The numerical...
376
Radioactive Decay and Radiometric Dating02:48

Radioactive Decay and Radiometric Dating

37.2K
Radioactivity is a spontaneous disintegration of an unstable nuclide and is a random process, as all the nuclei in the sample do not decay simultaneously. The number of disintegrations per unit time is called the activity (A), which is directly proportional to the number of nuclei in the sample. The decay constant (λ) is an average probability of decay per nucleus in unit time.
37.2K
Fundamental Theorem of Algebra01:30

Fundamental Theorem of Algebra

288
The Fundamental Theorem of Algebra is central to the study of polynomial equations, asserting that every non-constant polynomial with complex coefficients has at least one complex zero. This means that a polynomial of degree n ≥ 1, written as:  with an ≠ 0, has at least one solution in the complex number system. Since the set of real numbers is a subset of complex numbers, this theorem applies equally to polynomials with real coefficients.Building on this result, the...
288
Bond Energies and Bond Lengths02:49

Bond Energies and Bond Lengths

31.5K
Stable molecules exist because covalent bonds hold the atoms together. The strength of a covalent bond is measured by the energy required to break it, that is, the energy necessary to separate the bonded atoms. Separating any pair of bonded atoms requires energy — the stronger a bond, the greater the energy required to break it.
31.5K
Peptide Bonds02:43

Peptide Bonds

83.3K
A peptide bond covalently attaches amino acids through a dehydration reaction. One amino acid's carboxyl group and another amino acid's amino group combine, releasing a water molecule. The resulting bond is the peptide bond. The products that such linkages form are peptides. As more amino acids join this growing chain, the resulting chain is a polypeptide. Each polypeptide has a free amino group at one end. This end has the N-terminal, or the amino-terminal, and the other end has a free...
83.3K
SFG Algebra01:16

SFG Algebra

352
In Signal Flow Graph (SFG) algebra, the value a node represents is determined by the sum of all signals entering that node. This summed value is then transmitted through every branch leaving the node, making the SFG a powerful tool for visualizing and analyzing control systems.
Each node in an SFG corresponds to a variable, and the interactions between nodes are represented by branches with associated gains. When multiple branches lead into a node, the value at that node is the sum of the...
352

You might also read

Related Articles

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

Sort by
Same author

Insights into the Reactivity of Brookite TiO<sub>2</sub> Nanorods in Liquid Water from Ab Initio Molecular Dynamics Simulations.

ACS catalysis·2026
Same author

Atomic-Scale Mapping of Interfacial Water on Oxide Surfaces via Proton-Resolved NMR and <i>Ab Initio</i> Simulations.

Journal of the American Chemical Society·2026
Same author

Spectral Similarity Masks Structural Diversity at Hydrophobic Water Interfaces.

Physical review letters·2026
Same author

Water under hydrophobic confinement: entropy and diffusion.

The Journal of chemical physics·2025
Same author

Nanoscale size effects in α-FAPbI<sub>3</sub> evinced by large-scale ab initio simulations.

Nature communications·2025
Same author

Turning a micromixer into a separation column: The role of minimal surfaces and transversal transport in enhancing the performance of micro/nano Liquid Chromatography.

Journal of chromatography. A·2025
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Feb 8, 2026

From Molecules to Materials: Engineering New Ionic Liquid Crystals Through Halogen Bonding
06:44

From Molecules to Materials: Engineering New Ionic Liquid Crystals Through Halogen Bonding

Published on: March 24, 2018

69.6K

Hexatic smectic phase with algebraically decaying bond-orientational order.

Lorenzo Agosta1, Alfredo Metere2, Mikhail Dzugutov3

  • 1Department of Materials and Environmental Chemistry, Stockholm University, Svante Arrhenius Väg. 16C, S-10691 Stockholm, Sweden.

Physical Review. E
|June 17, 2018
PubMed
Summary
This summary is machine-generated.

Researchers discovered a novel hexatic smectic phase in simulations. This phase exhibits algebraic decay of orientational correlations, aligning with two-dimensional melting theories in a three-dimensional system.

More Related Videos

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
06:26

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

Published on: May 15, 2017

7.6K
Carrier Lifetime Measurements in Semiconductors through the Microwave Photoconductivity Decay Method
07:38

Carrier Lifetime Measurements in Semiconductors through the Microwave Photoconductivity Decay Method

Published on: April 18, 2019

34.5K

Related Experiment Videos

Last Updated: Feb 8, 2026

From Molecules to Materials: Engineering New Ionic Liquid Crystals Through Halogen Bonding
06:44

From Molecules to Materials: Engineering New Ionic Liquid Crystals Through Halogen Bonding

Published on: March 24, 2018

69.6K
Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
06:26

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

Published on: May 15, 2017

7.6K
Carrier Lifetime Measurements in Semiconductors through the Microwave Photoconductivity Decay Method
07:38

Carrier Lifetime Measurements in Semiconductors through the Microwave Photoconductivity Decay Method

Published on: April 18, 2019

34.5K

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Theories of two-dimensional melting predict a hexatic phase characterized by power-law decay of orientational correlations.
  • Previously observed hexatic smectic phases in three dimensions exhibited long-range in-layer bond orientational order, deviating from theoretical predictions.

Purpose of the Study:

  • To investigate the existence of a hexatic phase with theoretically predicted orientational correlation decay in a three-dimensional system.
  • To simulate and characterize a novel phase exhibiting algebraic decay of in-layer bond orientational correlations.

Main Methods:

  • Employed molecular dynamics simulations for a one-component system.
  • Utilized a spherically symmetric potential for particle interactions.

Main Results:

  • Identified a hexatic smectic phase where in-layer bond orientational correlations decay algebraically.
  • This decay pattern quantitatively matches the predictions of two-dimensional melting theory for hexatic ordering.
  • Demonstrated the realization of theoretically predicted two-dimensional hexatic order within a three-dimensional system.

Conclusions:

  • The study confirms the existence of a hexatic phase with theoretically predicted orientational correlation decay in a three-dimensional system.
  • This finding bridges the gap between theoretical models of two-dimensional melting and observable phenomena in three-dimensional materials.
  • Suggests that the simulated system provides a platform for studying fundamental aspects of phase transitions and ordering in condensed matter.