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We perform, with the help of cloud computing resources, extensive Langevin simulations which provide free energy estimates for unbiased three dimensional polymer translocation. We employ the Jarzynski equality in its rigorous setting, to…

Statistical Mechanics · Physics 2015-06-18 Felipe Mondaini , Luca Moriconi

The low-temperature driven or thermally activated motion of several condensed matter systems is often modeled by the dynamics of interfaces (co-dimension-1 elastic manifolds) subject to a random potential. Two characteristic quantitative…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Alan Middleton

We have calculated dynamical Casimir-Polder interaction force between a moving ground state atom and a flat polarizable surface. The velocity of an atom can be close to the velocity of light. The material properties are taken into account…

Other Condensed Matter · Physics 2015-05-28 G. V. Dedkov , A. A. Kyasov

A general definition of energy is given, via the N\"other theorem, for the N-body problem in (1+1) dimensional gravity. Within a first-order Lagrangian framework, the density of energy of a solution relative to a background is identified…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. B. Mann , G. Potvin , M. Raiteri

We model the thermodynamics of local structures within the hard sphere liquid at arbitrary volume fractions through the \textit{morphometric} calculation of $n$-body correlations. We calculate absolute free energies of local geometric…

Statistical Mechanics · Physics 2019-02-20 Joshua F. Robinson , Francesco Turci , Roland Roth , C. Patrick Royall

This work addresses the question of whether it is possible to define simple pair-wise interaction terms to approximate free energies of proteins or polymers. Rather than ask how reliable a potential of mean force is, one can ask how…

Soft Condensed Matter · Physics 2009-10-31 Dirk Reith , Thomas Huber , Florian Mueller-Plathe , Andrew E. Torda

This work presents a general and unified theory describing block copolymer self-assembly in the presence of free surfaces and nanoparticles in the context of Self-Consistent Filed Theory. Specifically, the derived theory applies to free and…

Soft Condensed Matter · Physics 2021-12-17 Daniil Bochkov , Ivana Bagaric , Gaddiel Ouaknin , Frederic Gibou

We present a lattice model for polymer solutions, explicitly incorporating interactions with a bath of solvent and cosolvent molecules. By exploiting the well-known analogy between polymer systems and the $O(n)$-vector spin model in the…

Soft Condensed Matter · Physics 2025-04-21 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

The topological interaction arising in interlinked polymeric rings such as DNA catenanes is considered. More specifically, the free energy for a pair of linked random walk rings is derived where the distance $R$ between two segments each of…

Statistical Mechanics · Physics 2016-08-31 Matthias Otto

We study surface effects in amorphous polymer systems by means of computer simulation. In the framework of molecular dynamics, we present two different methods to prepare such surfaces. {\em Free} surfaces are stabilized solely by…

Condensed Matter · Physics 2009-10-28 Thorsten Hapke , Andreas Linke , Gerald Paetzold , Dieter W. Heermann

A key assumption of polymer physics is that the random chains polymers extend in flow. Recent experimental evidence has shown that polymer chains compress in Couette flow in a manner counter to expectation. Here, scaling arguments developed…

Soft Condensed Matter · Physics 2018-06-05 Dave E. Dunstan

We investigate the dynamics of a gas of non-interacting particle-like soliton waves, demonstrating that phase transitions originate from their collective behavior. This is predicted by solving exactly the nonlinear equations and by…

Pattern Formation and Solitons · Physics 2009-11-13 Andrea Fratalocchi , Claudio Conti , Giancarlo Ruocco , Stefano Trillo

The ground state energy of the two--dimensional uniform electron gas has been calculated with fixed--node diffusion Monte Carlo, including backflow correlations, for a wide range of electron densities as a function of spin polarization. We…

Strongly Correlated Electrons · Physics 2009-11-07 Claudio Attaccalite , Saverio Moroni , Paola Gori-Giorgi , Giovanni B. Bachelet

We study the ground-state of a Fermi gas with short range attrative interactions in one or two dimensions. N fermions are placed in a confining potential, and interact with each other through a negative potential, whose range is larger than…

Mathematical Physics · Physics 2026-02-26 Thomas Gamet

We consider a body immersed in a perfect gas, moving under the action of a constant force E along the x axis . We assume the gas to be described by the mean-field approximation and interacting elastically with the body, we study the…

Mathematical Physics · Physics 2016-03-23 Cristiano Fanelli , Francesco Sisti , Gabriele V. Stagno

In this paper we consider a two-dimensional model of a copolymer consisting of a random concatenation of hydrophilic and hydrophobic monomers, immersed in a micro-emulsion of random droplets of oil and water. The copolymer interacts with…

Probability · Mathematics 2012-04-06 Frank den Hollander , Nicolas Pétrélis

Monte Carlo simulations are used to study the translocation of a polymer into a cavity. Modeling the polymer as a hard-sphere chain with a length up to N=601 monomers, we use a multiple-histogram method to measure the variation of the…

Soft Condensed Matter · Physics 2021-03-25 James M. Polson , David R. Heckbert

We derive the energy of the surface between the normal and superfluid components of a mixed phase of a system composed of two particle species with different densities. The surface energy is obtained by the integration of the free energy…

Superconductivity · Physics 2009-11-11 Heron Caldas

We present a simple one-dimensional quantum-mechanical model for a particle attached to a surface. We solve the Schr\"odinger equation in terms of Weber functions and discuss the behavior of the eigenvalues and eigenfunctions. We derive the…

Quantum Physics · Physics 2015-05-18 Francisco M. Fernández

Spatial configurations of randomly charged polymers, known as polyampholytes (PAs), are very sensitive to the overall excess charge Q. Analytical arguments, supported by Monte Carlo simulations and exact enumeration studies, lead to the…

Condensed Matter · Physics 2007-11-28 Yacov Kantor , Mehran Kardar
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