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We consider dynamics of an isolated polymer chain with a chemically active end-bead on a 2D solid substrate containing immobile, randomly placed chemically active sites (traps). For a particular situation when the end-bead can be…

Soft Condensed Matter · Physics 2009-10-31 G. Oshanin , S. Nechaev , A. M. Cazabat , M. Moreau

We theoretically analyze the efficiency of a protocol for creating mesoscopic superpositions of ion chains, described in [Phys. Rev. A 84, 063821 (2011)], as a function of the temperature of the crystal. The protocol makes use of…

Quantum Physics · Physics 2014-03-07 Jens D. Baltrusch , Cecilia Cormick , Giovanna Morigi

We consider a one-parameter family of matrix product states of spin one particles on a periodic chain and study in detail the entanglement properties of such a state. In particular we calculate exactly the entanglement of one site with the…

Quantum Physics · Physics 2009-11-13 S. Alipour , V. Karimipour , L. Memarzadeh

We investigate the effects of quenched disorder on first-order quantum phase transitions on the example of the $N$-color quantum Ashkin-Teller model. By means of a strong-disorder renormalization group, we demonstrate that quenched disorder…

Strongly Correlated Electrons · Physics 2013-01-17 Fawaz Hrahsheh , José A. Hoyos , Thomas Vojta

We introduce a solvable model of a measurement-induced phase transition (MIPT) in a deterministic but chaotic dynamical system with a positive Lyapunov exponent. In this setup, an observer only has a probabilistic description of the system…

Statistical Mechanics · Physics 2025-08-04 Federico Gerbino , Guido Giachetti , Pierre Le Doussal , Andrea De Luca

We consider a model for a polymer chain interacting with a sequence of equispaced flat interfaces through a pinning potential. The intensity $\delta \in \mathbb {R}$ of the pinning interaction is constant, while the interface spacing…

Probability · Mathematics 2009-10-26 Francesco Caravenna , Nicolas Pétrélis

In two dimensions polymer collapse has been shown to be complex with multiple low temperature states and multi-critical points. Recently, strong numerical evidence has been provided for a long-standing prediction of universal scaling of…

Statistical Mechanics · Physics 2018-03-14 A Narros , A L Owczarek , T Prellberg

We examine entanglements using monomer contacts between pairs of chains in a Brownian-dynamics simulation of a polymer melt. A map of contact positions with respect to the contacting monomer numbers (i,j) shows clustering in small regions…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , G. S. Grest , T. A. Witten , A. R. C. Baljon

Conventional ordering transitions, described by the Landau paradigm, are characterized by the symmetries broken at the critical point. Within the constrained manifold occurring at low temperatures in certain frustrated systems,…

Statistical Mechanics · Physics 2014-01-14 Stephen Powell

In this work we study numerically the final state of the two dimensional ferromagnetic critical Ising model after a quench to zero temperature. Beginning from equilibrium at $T_c$, the system can be blocked in a variety of infinitely long…

Statistical Mechanics · Physics 2014-07-17 Thibault Blanchard , Marco Picco

We have developed a theory of polymer entanglement using an extended Cahn-Hilliard functional, with two extra terms. One is a nonlocal attractive term, operating over mesoscales, which is interpreted as giving rise to entanglement, and the…

Soft Condensed Matter · Physics 2009-10-31 Shirish M. Chitanvis

We consider finite state, discrete-time, mixing Markov chains $(V,P)$, where $V$ is the state space and $P$ is transition matrix. To each such chain $(V,P)$, we associate a sequence of chains $(V_n,P_n)$ by coding trajectories of $(V,P)$…

Probability · Mathematics 2014-10-02 Kathleen Lan , Kevin McGoff

In the context of Monte Carlo simulations, the analysis of the probability distribution $P_L(m)$ of the order parameter $m$, as obtained in simulation boxes of finite linear extension $L$, allows for an easy estimation of the location of…

Soft Condensed Matter · Physics 2011-05-27 T. Fischer , R. L. C. Vink

Multiple experiments on active systems consider oriented active suspensions on substrates or in chambers confined along one direction. The theories of polar and apolar phases in such geometries were considered in A. Maitra et al, arXiv…

Statistical Mechanics · Physics 2020-01-22 Ananyo Maitra

When driving a disordered elastic manifold through quenched disorder, the pinning forces exerted on the center of mass are fluctuating, with mean $f_c=-\overline{F_w} $ and variance $\Delta(w)=\overline{F_w F_0}^c$, where $w$ is the…

Statistical Mechanics · Physics 2022-12-13 Cathelijne ter Burg , Kay Jörg Wiese

In quenched QCD the Polyakov loop is an order parameter of the deconfinement transition, but with decreasing quark mass, the peak in the Polyakov loop susceptibility becomes less pronounced, and it loses its interpretation as an indicator…

High Energy Physics - Lattice · Physics 2024-01-04 David A. Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri

In this chapter we review the rich behavior of polymer chains embedded in a quenched random environment. We first consider the problem of a Gaussian chain free to move in a random potential with short-ranged correlations. We derive the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yadin Y. Goldschmidt , Yohannes Shiferaw

The chiral condensate and dressed Polyakov loop at finite temperature and density have been investigated in the framework of Nf = 2+1 Nambu-Jona-Lasinio (NJL) model with two degenerate u, d quarks and one strange quark. In the case of…

High Energy Physics - Phenomenology · Physics 2015-05-27 Fukun Xu , Hong Mao , Tamal K. Mukherjee , Mei Huang

In this paper we consider a two-dimensional copolymer consisting of a random concatenation of hydrophobic and hydrophilic monomers near a linear interface separating oil and water acting as solvents. The configurations of the copolymer are…

Probability · Mathematics 2012-02-21 E. Bolthausen , F. den Hollander , A. A. Opoku

We study energy relaxation in a phenomenological model for polymer built from rheological considerations: a one dimensional nonlinear lattice with dissipative couplings. These couplings are well known in polymer's community to be possibly…

Statistical Mechanics · Physics 2009-11-07 F. Gobet , S. Ciliberto , T. Dauxois
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