Related Experiment Video
Updated: Feb 10, 2026
12:04
Microfluidic Preparation of Liquid Crystalline Elastomer Actuators
Published on: May 20, 2018
9.5K
Glassy phase in quenched disordered crystalline membranes
O Coquand1, K Essafi2, J-P Kownacki3
1Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée, LPTMC, F-75005 Paris, France.
Physical Review. E
|May 20, 2018
Summary
We found a low-temperature glassy phase in disordered crystalline membranes, suggesting similar behavior in graphene. This phase transition is controlled by a unique fixed point, impacting long-distance properties.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Statistical Mechanics
Background:
- Crystalline membranes exhibit complex behavior under disorder.
- Understanding their phase transitions is crucial for materials science.
Purpose of the Study:
- Investigate the flat phase of D-dimensional crystalline membranes in d-dimensional space.
- Analyze the effects of metric and curvature quenched disorders.
- Identify phase transitions and their controlling fixed points.
Main Methods:
- Employed a nonperturbative renormalization group approach.
- Utilized ε=4-D and 1/d expansions for analysis.
Main Results:
- Identified a second-order phase transition.
- Characterized a finite-temperature, finite-disorder fixed point.
- Discovered two distinct basins of attraction in the flow diagram.
Conclusions:
- Strongly suggest the existence of a low-temperature glassy phase for disordered crystalline membranes.
- Propose potential implications for graphene and graphene-like materials.
- Highlight the significance of the identified critical point for long-distance behavior.
Related Concept Videos
01:21Polymer Classification: Crystallinity
4.0K
Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...
4.0K
02:18Intrinsically Disordered Proteins
19.6K
Intrinsically disordered proteins are a group of proteins that do not fold into specific three-dimensional structures. Their structural flexibility allows them to complement ordered proteins to perform functions that are inaccessible to rigid structures. They are more common in eukaryotes than prokaryotes and may either be exclusively intrinsically disordered or hybrid proteins, consisting of a mix of ordered and disordered regions. The absence of a rigid structure in these proteins can be...
19.6K
02:39Phase Diagrams
50.4K
A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
50.4K
02:31Phase Transitions
23.3K
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...
23.3K
01:28Inductance: Single-Phase And Three-Phase Line
641
Understanding the inductance of transmission lines is crucial for efficient design and operation in electrical power systems. This discussion delves into the inductance characteristics of single-phase two-wire and three-phase three-wire transmission lines with equal phase spacing.
Single-Phase Two-Wire Line:
A single-phase line consists of two solid cylindrical conductors, denoted as x and y. Each conductor carries phasor currents ix and iy, respectively. Given that the sum of these currents is...
Single-Phase Two-Wire Line:
A single-phase line consists of two solid cylindrical conductors, denoted as x and y. Each conductor carries phasor currents ix and iy, respectively. Given that the sum of these currents is...
641
01:25Capacitance: Single-Phase And Three-Phase Line
616
In electrical power systems, understanding the capacitance of transmission lines is fundamental for efficient operation.
Single-Phase Lines
Consider a single-phase, two-wire transmission line with equal phase spacing energized by a voltage source. One conductor carries a uniform positive charge, while the other carries an equal negative charge. The capacitance C of the line can be derived from the voltage V between the conductors. For a one-meter section of the line, the capacitance is given...
Single-Phase Lines
Consider a single-phase, two-wire transmission line with equal phase spacing energized by a voltage source. One conductor carries a uniform positive charge, while the other carries an equal negative charge. The capacitance C of the line can be derived from the voltage V between the conductors. For a one-meter section of the line, the capacitance is given...
616