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It is common to study polymer physics through the use of idealized single-chain models, and the most popular of these is the freely jointed chain model. In certain thermodynamic ensembles, statistical mechanical treatment of this model is…

Statistical Mechanics · Physics 2026-04-14 Michael R. Buche , Alvin Chen

The freely jointed chain is often applied to model the thermodynamics of single polymer chains, but the traditional formulation of the model lacks internal energy changes due to bond stretching. For this reason, the extensible freely…

Statistical Mechanics · Physics 2026-05-13 Michael R. Buche

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…

Soft Condensed Matter · Physics 2009-10-31 Sergey Panyukov , Yitzhak Rabin

We consider directed semiflexible polymers embedded in a fluctuating surface which is governed by either surface tension or bending rigidity. The attractive interactions induced by the fluctuations of the surface reduce the rigidity of the…

Condensed Matter · Physics 2009-10-28 Ramin Golestanian

We use nonequilibrium molecular dynamics simulations to verify recent tube-model predictions that associative polymer networks exhibit broad stretch fluctuations during elongational flow. Simulations further show that these fluctuating…

Soft Condensed Matter · Physics 2025-04-11 Songyue Liu , Thomas C. O'Connor

We propose a simple friction model for isolated polymer chains on a solid substrate. The chains are pulled at constant velocity by one end, the other end can be trapped on the solid substrate on localised sites. We focus on the energy…

Soft Condensed Matter · Physics 2009-10-31 T. Charitat , J. F. Joanny

We study theoretically the complex network of forces that is responsible for the static structure and properties of granular materials. We present detailed calculations for a model in which the fluctuations in the force distribution arise…

Condensed Matter · Physics 2009-10-28 S. N. Coppersmith , C. -h. Liu , S. Majumdar , O. Narayan , T. A. Witten

We consider the interaction between two rods embedded in a fluctuating surface. The modification of fluctuations by the rods leads to an attractive long-range interaction between them. We consider fluctuations governed by either surface…

Condensed Matter · Physics 2009-10-28 Ramin Golestanian , Mark Goulian , Mehran Kardar

Loops undergoing thermal fluctuations are prevalent in nature. Ring-like or cross-linked polymers, cyclic macromolecules, and protein-mediated DNA loops all belong to this category. Stability of these molecules are generally described in…

Computational Physics · Physics 2016-04-27 James T. Waters , Harold D. Kim

We discuss the fluctuation-induced force, a finite-temperature analog of the Casimir force, between two inclusions embedded in a fluid membrane under tension. We suggest a method to calculate this Casimir interaction in the most general…

Soft Condensed Matter · Physics 2015-05-19 Hsiang-Ku Lin , Roya Zandi , Umar Mohideen , Leonid P. Pryadko

Fluctuations exist in any material object $A$. If $A$ has non-zero temperature $T$, one speaks about thermal fluctuations. If $A$ is at very low $T$, the fluctuations are of quantum origin. Interesting effects appear if two bodies $A$ and…

Statistical Mechanics · Physics 2025-09-30 Daniel Dantchev , Nicholay Tonchev

Using results from Schramm Loewner evolution (SLE), we give the expression of the fluctuation-induced force exerted by a polymer on a small impenetrable disk, in various 2-dimensional domain geometries. We generalize to two polymers and…

Statistical Mechanics · Physics 2015-05-13 Pierre Le Doussal , Kay Jörg Wiese

Investigations of the elastic behavior of bulk elastomers have traditionally proceeded on the basis of classical rubber elasticity, which regards chains as thermally fluctuating but disregards the thermal fluctuations of the cross-links.…

Soft Condensed Matter · Physics 2016-05-12 Bing-Sui Lu , Ali Naji , Rudolf Podgornik

This paper examines the effect of cooling on disentanglement forces in polymers and the implications for both single chain pullout and polymer dynamics. I derive the explicit dependence of the distribution of these forces on temperature,…

Statistical Mechanics · Physics 2007-05-23 Raphael Blumenfeld

Electromagnetic fluctuation-induced forces between atoms and surfaces are generally known as Casimir-Polder interactions. The exact knowledge of these forces is rapidly becoming important in modern experimental set-ups and for technological…

Quantum Physics · Physics 2011-09-28 F. Intravaia , C. Henkel , M. Antezza

We develop a novel biased Monte-Carlo simulation technique to measure the force-extension curves and the distribution function of the extension of fluctuating filaments stretched by external force. The method is applicable for arbitrary…

Soft Condensed Matter · Physics 2007-05-23 David A. Kessler , Yitzhak Rabin

Motivated by recent advances in single molecule manipulation techniques that enabled several groups to tie knots in individual polymer strands and to monitor their dynamics, we have used computer simulations to study "friction knots"…

Biological Physics · Physics 2007-05-23 Serdal Kirmizialtin , Dmitrii E. Makarov

We study the friction between a flat solid surface where polymer chains have been end-grafted and a cross-linked elastomer at low sliding velocity. The contribution of isolated grafted chains' penetration in the sliding elastomer has been…

Soft Condensed Matter · Physics 2015-06-24 Thomas Vilmin , Elie Raphael

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…

Soft Condensed Matter · Physics 2007-05-23 Y. Rabin , S. Panyukov

The recently proposed fluctuation relation in unfolding forces [Phys. Rev. E ${\bf 84}$, $060101$(R) $(2011)$] is re-examined taking into account the explicit time dependence of the force distribution. The stretching of a tethered Rouse…

Statistical Mechanics · Physics 2014-05-06 Anoop Varghese , Satyavani Vemparala , R. Rajesh
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