Related Experiment Video
Updated: Aug 13, 2025
10:08
Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
Published on: October 24, 2017
9.3K
Flat phase of quenched disordered membranes at three-loop order
1Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies, LPTHE, 75005 Paris, France.
Physical Review. E
|January 21, 2023
Summary
This study investigates disordered polymerized membranes using a three-loop perturbative analysis. Results confirm a finite-temperature wrinkling transition and agree with nonperturbative predictions for anomalous dimensions.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Polymer Physics
Background:
- Polymerized membranes exhibit complex behavior influenced by disorder and temperature.
- Understanding phase transitions in these systems is crucial for materials science.
Purpose of the Study:
- To analyze quenched disordered polymerized membranes in their flat phase.
- To derive and solve renormalization group equations at the three-loop order.
- To investigate the scaling behavior and fixed points of the renormalization group flow.
Main Methods:
- Three-loop perturbative analysis in D=4-ε dimensions.
- Derivation and solution of renormalization group equations up to order ε³.
- Computation of anomalous dimensions.
Main Results:
- Confirmation of a finite-temperature, finite-disorder wrinkling transition.
- Correction of some results from a previous two-loop order approach.
- Anomalous dimensions show strong agreement with nonperturbative predictions.
Conclusions:
- The three-loop perturbative analysis provides a robust framework for studying disordered membranes.
- The study validates nonperturbative findings regarding phase transitions and scaling behavior.
- This work refines theoretical understanding of membrane wrinkling transitions.
Related Concept Videos
02:39Phase Transitions: Melting and Freezing
12.6K
Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
12.6K
01:26Membrane Fluidity
11.4K
Membrane fluidity is explained by the fluid mosaic model of the cell membrane, which describes the plasma membrane structure as a mosaic of components—including phospholipids, cholesterol, proteins, and carbohydrates—that gives the membrane a fluid character.
Mosaic nature of the membrane
The mosaic characteristic of the membrane helps the plasma membrane remain fluid. The integral proteins and lipids exist as separate but loosely-attached molecules in the membrane. The membrane is...
Mosaic nature of the membrane
The mosaic characteristic of the membrane helps the plasma membrane remain fluid. The integral proteins and lipids exist as separate but loosely-attached molecules in the membrane. The membrane is...
11.4K
02:31Phase Transitions
19.5K
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...
19.5K
01:19Phase Diagram
6.0K
The phase of a given substance depends on the pressure and temperature. Thus, plots of pressure versus temperature showing the phase in each region provide considerable insights into the thermal properties of substances. Such plots are known as phase diagrams. For instance, in the phase diagram for water (Figure 1), the solid curve boundaries between the phases indicate phase transitions (i.e., temperatures and pressures at which the phases coexist).
6.0K
02:33Phase Transitions: Sublimation and Deposition
17.3K
Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
17.3K
00:59Mechanisms of Membrane Domain Formation
3.1K
Different physical properties of lipids and proteins allow them to localize and form distinct islands or domains in the membrane. Some membrane domains are formed due to protein-protein interactions, whereas others are formed due to the presence of specific lipids such as sphingolipids and sterols—for example, large proteins, such as bacteriorhodopsin, aggregate and create distinct domains.
Another mechanism for membrane domain formation involves membrane proteins interacting with...
Another mechanism for membrane domain formation involves membrane proteins interacting with...
3.1K