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We study the effects of thermal fluctuations on symmetric tensionless heterogeneous (two-component) fluid membranes in a simple minimal model. Close to the critical point $T_c$ of the associated miscibility phase transition of the…

Statistical Mechanics · Physics 2015-06-23 Tirthankar Banerjee , Abhik Basu

Two different tensions can be defined for a fluid membrane: the internal tension, $\gamma$, conjugated to the real membrane area in the Hamiltonian, and the frame tension, $\tau$, conjugated to the projected (or frame) area. According to…

Soft Condensed Matter · Physics 2022-07-13 Marc Durand

Thermal fluctuations strongly modify the large length-scale elastic behavior of crosslinked membranes, giving rise to scale-dependent elastic moduli. While thermal effects in flat membranes are well understood, many natural and artificial…

Soft Condensed Matter · Physics 2013-02-19 Jayson Paulose , Gerard A. Vliegenthart , Gerhard Gompper , David R. Nelson

Turbulent flows frequently accompany physical, chemical and biological processes, such as mixing, two-phase flow, combustion and even foraging by bacteria and plankton larvae, all of which are in principle subject to thermal fluctuations…

Fluid Dynamics · Physics 2021-07-08 Dmytro Bandak , Gregory L. Eyink , Alexei Mailybaev , Nigel Goldenfeld

Biological membranes and vesicles play a central role in living systems, forming dynamic interfaces that regulate cellular organization and function. Classical descriptions of membrane mechanics that are rooted in equilibrium statistical…

Soft Condensed Matter · Physics 2026-02-24 Sreekanth Ramesh , Prashant K. Purohit , Yashashree Kulkarni

What is the major difference between large and small systems? At small length-scales the dynamics is dominated by fluctuations, whereas at large scales fluctuations are irrelevant. Therefore, any thermodynamically consistent description of…

Statistical Mechanics · Physics 2025-01-13 Akira Sone , Kanu Sinha , Sebastian Deffner

Active contributions to fluctuations are a direct consequence of metabolic energy consumption in living cells. Such metabolic processes continuously create active forces, which deform the membrane to control motility, proliferation as well…

Biological Physics · Physics 2018-10-02 Hervé Turlier , Timo Betz

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small nonequilibrium systems. While work and heat are equally important forms of energy exchange, fluctuation relations have not been experimentally…

Statistical Mechanics · Physics 2022-02-24 Markus Rademacher , Michael Konopik , Maxime Debiossac , David Grass , Eric Lutz , Nikolai Kiesel

We review recent computer simulation studies of undulating lipid bilayers. Theoretical interpretations of such fluctuating membranes are most commonly based on generalized Helfrich-type elastic models, with additional contributions of local…

Biological Physics · Physics 2013-09-03 Friederike Schmid

The thermal fluctuation spectrum of a fluid membrane coupled harmonically to a solid support by an array of tethers is calculated. For strong tethers, this spectrum exhibits non-monotonic, anisotropic behavior with a relative maximum at a…

Soft Condensed Matter · Physics 2008-12-08 Rolf-Juergen Merath , Udo Seifert

The effect of quantum fluctuations on a nearly flat, nonrelativistic two-dimensional membrane with extrinsic curvature stiffness and tension is investigated. The renormalization group analysis is carried out in first-order perturbative…

Condensed Matter · Physics 2009-10-31 M. E. S. Borelli , H. Kleinert , Adriaan M. J. Schakel

We study the long-time behaviour and the spatial correlations of a simple ferromagnetic spin system whose kinetics is governed by a thermal bath with a time-dependent temperature which is characterized by a given external relaxation time…

Statistical Mechanics · Physics 2008-11-26 Alan Picone , Malte Henkel , Jean Richert

In recent years it has been argued that the tension parameter driving the fluctuations of fluid membranes, differs from the imposed lateral stress, the 'frame tension'. In particular, stress-free membranes were predicted to have a residual…

Soft Condensed Matter · Physics 2015-06-04 Friederike Schmid

Biologically driven non-equilibrium fluctuations are often characterized by their non-Gaussianity or by an "effective temperature", which is frequency dependent and higher than the ambient temperature. We address these two measures…

Biological Physics · Physics 2011-06-16 Eyal Ben-Isaac , YongKeun Park , Gabriel Popescu , Frank L. H. Brown , Nir S. Gov , Yair Shokef

The free energy of inserting a protein into a membrane is determined by considering the variation in the spectrum of thermal fluctuations in response to the presence of a rigid inclusion. Both numerically and through a simple analytical…

Soft Condensed Matter · Physics 2007-05-23 Christian D. Santangelo , Oded Farago

The mechanism of thermal inflation, a relatively short period of accelerated expansion after primordial inflation, is a desirable ingredient for a certain class of particle physics models if they are not to be in contention with the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Takashi Hiramatsu , Yuhei Miyamoto , Jun'ichi Yokoyama

Thermodynamic parameters such as temperature and pressure can be defined from the statistical behavior of a system. Therefore, thermal fluctuation is an inseparable characteristic of these parameters which eventually finds its way into…

Computational Physics · Physics 2017-02-28 Alek Bedroya , Mahmud Bahmanabadi

We review the general aspects of the concept of temperature in equilibrium and non-equilibrium statistical mechanics. Although temperature is an old and well-established notion, it still presents controversial facets. After a short…

Statistical Mechanics · Physics 2017-11-13 A. Puglisi , A. Sarracino , A. Vulpiani

Standard results for the fluctuations of thermodynamic quantities are derived under the assumption of sampling identical systems that are in different, not fully equilibrated states. These results apply to fluctuations with time in a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. A. Serota

Thermal fluctuations are important for amphiphilic bilayer membranes since typical bending stiffnesses can be a few $k_B T$. The rod-like constituent molecules are generically tilted with respect to the local normal for packing reasons. We…

Condensed Matter · Physics 2009-10-28 Thomas Powers , Philip Nelson
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