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A directed polymer is allowed to branch, with configurations determined by global energy optimization and disorder. A finite size scaling analysis in 2D shows that, if disorder makes branching more and more favorable, a critical transition…

Statistical Mechanics · Physics 2016-08-31 Giovanni Sartoni , Attilio L. Stella

We investigate the self-organization of strongly interacting particles confined in 1D and 2D. We consider hardcore bosons in spinless Hubbard lattice models with short-range interactions. We show that many-body states with topological…

Strongly Correlated Electrons · Physics 2019-09-12 Ioannis Kleftogiannis , Ilias Amanatidis

Unconcatenated, unknotted polymer rings in the melt are subject to strong interactions with neighboring chains due to the presence of topological constraints. We study this by computer simulation using the bond-fluctuation algorithm for…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , J. P. Wittmer , M. E. Cates

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

Statistical Mechanics · Physics 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

We investigate $(2+1)$-dimensional discretized directed polymers in Gaussian random media. By numerically calculating the probability distribution function of overlap between two independent and identical systems on a common random…

Disordered Systems and Neural Networks · Physics 2019-05-20 Masahiko Ueda

In this work a new strategy is proposed in order to build analytic and microscopic models of fluctuating polymer rings subjected to topological constraints. The topological invariants used to fix these constraints belong to a wide class of…

Statistical Mechanics · Physics 2020-01-08 Franco Ferrari

We study the stability of the glassy equilibrium state of a directed polymer in random media against weak perturbations including the intriguing problem of temperature-chaos. The statistical correlation of two real replica systems under…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marta Sales , Hajime Yoshino

We consider a polymer, with monomer locations modeled by the trajectory of a Markov chain, in the presence of a potential that interacts with the polymer when it visits a particular site 0. Disorder is introduced by, for example, having the…

Probability · Mathematics 2007-05-23 Kenneth S. Alexander , Vladas Sidoravicius

We investigate the role of relaxation mechanisms in the driven response of elastic disordered interfaces in finite dimensions, focusing on the interplay between dimensionality and interaction range. Through extensive numerical simulations,…

Disordered Systems and Neural Networks · Physics 2025-08-14 Giuseppe Petrillo , Eduardo Jagla , Eugenio Lippiello , Alberto Rosso

Using molecular dynamics simulation of a standard bead-spring model we investigate the density crossover scaling of strictly two-dimensional self-avoiding polymer chains focusing on properties related to the contact exponent set by the…

Soft Condensed Matter · Physics 2015-06-03 N. Schulmann , H. Meyer , J. P. Wittmer , A. Johner , J. Baschnagel

Nanoparticles can greatly enhance the mechanical response of elastomeric polymers essential to a wide range of applications, yet their precise molecular mechanisms of high-strain reinforcement remain largely unresolved. Here we show, based…

Soft Condensed Matter · Physics 2025-01-15 Pierre Kawak , Harshad Bhapkar , David S. Simmons

Joint ground states of two directed polymers in a random medium are investigated. Using exact min-cost flow optimization the true two-line ground-state is compared with the single line ground state plus its first excited state. It is found…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. T. Petaja , M. J. Alava , H. Rieger

We study the activated motion of adsorbed polymers which are driven over a structured substrate by a localized point force.Our theory applies to experiments with single polymers using, for example, tips of scanning force microscopes to drag…

Soft Condensed Matter · Physics 2009-11-11 P. Kraikivski , R. Lipowsky , J. Kierfeld

The minimal energy variations of a directed polymer with tilted columnar disorder in two dimensions are shown numerically to obey a multiscaling at short distances which crosses over to global simple scaling at large distances. The scenario…

Statistical Mechanics · Physics 2009-11-07 Roya Mohayaee , Attilio L. Stella , Carlo Vanderzande

We consider polymers attached to the tip of a cone, and the resulting force due to entropy loss on approaching a plate (or another cone). At separations shorter than the polymer radius of gyration R_g, the only relevant length scale is the…

Statistical Mechanics · Physics 2011-12-15 Mohammad F. Maghrebi , Yacov Kantor , Mehran Kardar

Periodically-driven quantum systems can exhibit topologically non-trivial behaviour, even when their quasi-energy bands have zero Chern numbers. Much work has been conducted on non-interacting quantum-mechanical models where this kind of…

Other Condensed Matter · Physics 2017-03-03 Callum W. Duncan , Patrik Ohberg , Manuel Valiente

The 2-fold degeneracy of the ground state of a quasi-one-dimensional system allows it to support topological excitations such as solitons. We study the combined effects of Coulomb interactions and confinement due to interchain coupling on…

Statistical Mechanics · Physics 2009-11-07 S Teber , B P Stojkovic , S A Brazovskii , A R Bishop

We study the dynamics of a polymer or a D-dimensional elastic manifold diffusing and convected in a non-potential static random flow (the ``randomly driven polymer model''). We find that short-range (SR) disorder is relevant for d < 4 for…

Condensed Matter · Physics 2009-07-10 Kay Joerg Wiese , Pierre Le Doussal

Two generically different but universal dynamical quantum many-body behaviors are discovered by probing the stability of trapped fragmented bosonic systems with strong repulsive finite/long range inter-particle interactions. We use…

Quantum Gases · Physics 2014-10-21 Oksana I. Streltsova , Ofir E. Alon , Lorenz S. Cederbaum , Alexej I. Streltsov

The effect of ambient disorders and sequence heterogeneities on the reptation of a long polymer is studied with the aid of a disordered tube model. The dynamics of a random heteropolymer is found to be much slower than that of a homopolymer…

Soft Condensed Matter · Physics 2009-10-30 D. Cule , T. Hwa
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