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We study the effects of thermal fluctuations on a small elastic ring. We derive analytical expressions for the correlation functions of the Euler angles, for the real space two--point correlation functions and for the probability…

软凝聚态物质 · 物理学 2007-05-23 Y. Rabin , S. Panyukov

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…

软凝聚态物质 · 物理学 2013-02-19 Jayson Paulose , Gerard A. Vliegenthart , Gerhard Gompper , David R. Nelson

We study the effects of thermal fluctuations on elastic rings. Analytical expressions are derived for correlation functions of Euler angles, mean square distance between points on the ring contour, radius of gyration, and probability…

软凝聚态物质 · 物理学 2009-10-31 Sergey Panyukov , Yitzhak Rabin

We probe, using a model system, elastic and kinetic energies for sheared granular materials. For large enough $P/E_y$ (pressure/Young's modulus) and $P/\rho v^2$ ($P/$kinetic energy density) elastic dominates kinetic energy, and energy…

软凝聚态物质 · 物理学 2007-05-23 Lou Kondic , R. P. Behringer

We study the fluctuations of the two-time dependent global roughness of finite size elastic lines in a quenched random environment. We propose a scaling form for the roughness distribution function that accounts for the two-time,…

无序系统与神经网络 · 物理学 2009-11-11 Sebastian Bustingorry , Jose Luis Iguain , Claudio Chamon , Leticia F. Cugliandolo , Daniel Dominguez

We explore how thermal fluctuations affect the mechanics of thin amorphous spherical shells. In flat membranes with a shear modulus, thermal fluctuations increase the bending rigidity and reduce the in-plane elastic moduli in a…

软凝聚态物质 · 物理学 2017-01-18 Andrej Kosmrlj , David R. Nelson

We examine the effects of thermal fluctuations on thin elastic filaments with non-circular cross-section and arbitrary spontaneous curvature and torsion. Analytical expressions for orientational correlation functions and for the persistence…

软凝聚态物质 · 物理学 2009-10-31 S. Panyukov , Y. Rabin

Theoretical studies of nearly spherical vesicles and microemulsion droplets, that present typical examples for thermally-excited systems that are subject to constraints, are reviewed. We consider the shape fluctuations of such systems…

软凝聚态物质 · 物理学 2021-04-28 Nicholay S. Tonchev

We study the surface fluctuations of a tissue with a dynamics dictated by cell-rearrangement, cell-division, and cell-death processes. Surface fluctuations are calculated in the homeostatic state, where cell division and cell death…

生物物理 · 物理学 2015-12-22 Thomas Risler , Aurélien Peilloux , Jacques Prost

We perform Brownian dynamics simulations of semiflexible colloidal sheets with hydrodynamic interactions and thermal fluctuations in shear flow. As a function of the ratio of bending rigidity to shear energy (a dimensionless quantity we…

软凝聚态物质 · 物理学 2021-10-22 Kevin S. Silmore , Michael S. Strano , James W. Swan

The effects of thermal elastic fluctuations in rubber materials are examined. It is shown that, due to an interplay with the incompressibility constraint, these fluctuations qualitatively modify the large-deformation stress-strain relation,…

软凝聚态物质 · 物理学 2015-06-25 Xiangjun Xing , Paul M. Goldbart , Leo Radzihovsky

We study the effects of thermal flucutations on thin elastic filaments with spontaneous curvature and torsion. We derive analytical expressions for the orientational correlation functions and for the persistence length of helices, and find…

软凝聚态物质 · 物理学 2009-10-31 S. Panyukov , Y. Rabin

We study the influence of thermal fluctuations on the fracture of elastic networks, via simulations of the uniaxial extension of central-force spring networks with varying rigidity, i.e. connectivity. Studying their failure response, both…

软凝聚态物质 · 物理学 2020-06-09 Justin Tauber , Aimée R. Kok , Jasper van der Gucht , Simone Dussi

We investigate the effect of thermal fluctuations on the mechanical properties of nanotubes by employing tools from statistical physics. For 2D sheets it was previously shown that thermal fluctuations effectively renormalize elastic moduli…

统计力学 · 物理学 2023-05-25 Siddhartha Sarkar , Mohamed El Hedi Bahri , Andrej Košmrlj

Very thin elastic sheets, even at zero temperature, exhibit nonlinear elastic response by virtue of their dominant bending modes. Their behavior is even richer at finite temperature. Here we use molecular dynamics (MD) to study the…

软凝聚态物质 · 物理学 2022-06-28 Zhitao Chen , Duanduan Wan , Mark J. Bowick

We study the dynamics of elastic interfaces-membranes-immersed in thermally excited fluids. The work contains three components: the development of a numerical method, a purely theoretical approach, and numerical simulation. In developing a…

软凝聚态物质 · 物理学 2009-10-31 Davide Stelitano , Daniel H. Rothman

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…

介观与纳米尺度物理 · 物理学 2015-05-13 R. A. Serota

We investigate non-equilibrium fluctuations of a solid surface governed by the stochastic Mullins-Herring equation with conserved noise. This equation describes surface diffusion of adatoms accompanied by their exchange between the surface…

统计力学 · 物理学 2016-02-17 Baruch Meerson , Arkady Vilenkin

Based on the fluctuation-electromagnetic theory, we have calculated the retarded force of attraction, frictional moment and heating rate of a neutral particle rotating near a polarizable surface. The particle and surface are characterized…

介观与纳米尺度物理 · 物理学 2013-04-01 A. A. Kyasov , G. V. Dedkov

We investigate numerically the relaxation dynamics of an elastic string in two-dimensional random media by thermal fluctuations starting from a flat configuration. Measuring spatial fluctuations of its mean position, we find that the…

统计力学 · 物理学 2015-05-14 Jae Dong Noh , Hyunggyu Park
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