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From statistics of regular tree-like graphs to distribution function and gyration radius of branched polymers

Alexander Y. Grosberg 1 Sergei K. Nechaev 1, 2 Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2015, 48, pp.345003 We consider flexible branched polymer, with quenched branch structure, and show that its conformational entropy as a function of its gyration radius $R$, at large $R$, obeys, in the scaling sense, $\Delta S \sim

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Finite-Temperature Free Fermions and the Kardar-Parisi-Zhang Equation at Finite Time

David S. Dean 1 Pierre Le Doussal 2 Satya N. Majumdar 3 Grégory Schehr 3 Physical Review Letters, American Physical Society, 2015, 114 (11), pp.110402 (1-5). <10.1103/PhysRevLett.114.110402> We consider the system of $N$ one-dimensional free fermions confined by a harmonic well $V(x) = m\omega^2 {x^2}/{2}$ at finite inverse temperature $\beta = 1/T$. The average density

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Favoured Local Structures in Liquids and Solids: a 3D Lattice Model

Pierre Ronceray 1 Peter Harrowell 2 Soft Matter, Royal Society of Chemistry, 2015, 11, pp.3322 We investigate the connection between the geometry of Favoured Local Structures (FLS) in liquids and the associated liquid and solid properties. We introduce a lattice spin model – the FLS model on a face-centered cubic lattice – where this geometry

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Effective charge of cylindrical and spherical colloids immersed in an electrolyte: the quasi-planar limit

L. Samaj 1, 2 E. Trizac 2 Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2015, 48, pp.265003 We consider the non-linear Poisson-Boltzmann theory for a single cylindrical or spherical macro-ion in symmetric 1:1, together with asymmetric 1:2 and 2:1 electrolytes. We focus on the regime where $\kappa a $, the ratio of the

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Effect of Curvature and Confinement on the Casimir-Polder Interaction

Pablo Rodriguez-Lopez 1 Thorsten Emig 1 Ehsan Noruzifar 2 Roya Zandi 3 Physical Review A, American Physical Society, 2015, pp.012516 Modifications of Casimir-Polder interactions due to confinement inside a cylindrical cavity and due to curvature in- and outside the cavity are studied. We consider a perfectly conducting cylindrical shell with a single particle (atom or

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