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Related Concept Videos

Phase Transitions02:31

Phase Transitions

Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to occupy...
Phase Transitions01:21

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A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
Crossover Experiments01:16

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Crossing Over01:30

Crossing Over

Crossing over is the exchange of genetic information between homologous chromosomes during prophase I of meiosis I. Genetic recombination gives rise to allelic diversity in the newly formed daughter cells. In humans, crossing over produces genetically distinct haploid egg and sperm cells that undergo fertilization to produce unique offspring. Before cell division starts, the germ cell’s chromosome(s) undergo duplication in the S phase of the cell cycle. As the cells enter prophase I, duplicated...
Crossing Over01:34

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Unlike mitosis, meiosis aims for genetic diversity in its creation of haploid gametes. Dividing germ cells first begin this process in prophase I, where each chromosome—replicated in S phase—is now composed of two sister chromatids (identical copies) joined centrally.
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Crossing over01:34

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Unlike mitosis, meiosis aims for genetic diversity in its creation of haploid gametes. Dividing germ cells first begin this process in prophase I, where each chromosome—replicated in S phase—is now composed of two sister chromatids (identical copies) joined centrally.
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Related Experiment Video

Updated: Jun 3, 2026

Frequency and Distribution of Crossovers in Caenorhabditis elegans Meiosis by SNP Genotyping using Real-time PCR
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Frequency and Distribution of Crossovers in Caenorhabditis elegans Meiosis by SNP Genotyping using Real-time PCR

Published on: July 11, 2025

Crossover phenomena involving the dense O(n) phase.

Wenan Guo1, Henk W J Blöte

  • 1Physics Department, Beijing Normal University, Beijing 100875, P.R. China. waguo@bnu.edu.cn

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 17, 2011
PubMed
Summary

We studied the O(n) loop model

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • The O(n) loop model is a fundamental model in statistical mechanics.
  • Understanding its low-temperature phase is crucial for various physical systems.

Purpose of the Study:

  • To investigate the stability of the O(n) loop model's low-temperature phase.
  • To analyze the impact of various perturbations on this phase.

Main Methods:

  • Transfer-matrix calculations
  • Finite-size scaling analysis

Main Results:

  • Cubic anisotropy and crossing bonds are relevant perturbations, leading to crossovers.
  • Loop-loop attractions and double bonds are irrelevant but can induce Ising-type phase transitions.

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Last Updated: Jun 3, 2026

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Conclusions:

  • The O(n) loop model's low-temperature phase exhibits distinct behaviors under different perturbations.
  • Ising-type transitions do not alter the underlying universal O(n) behavior.