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We obtain an exact analytic expression for the average distribution, in the thermodynamic limit, of overlaps between two copies of the same random energy model (REM) at different temperatures. We quantify the non-self averaging effects and…

无序系统与神经网络 · 物理学 2021-02-03 Bernard Derrida , Peter Mottishaw

We characterize the low temperature phase of a simple model for RNA secondary structures by determining the typical energy scale E(l) of excitations involving l bases. At zero temperature, we find a scaling law E(l) \sim l^\theta with…

统计力学 · 物理学 2009-11-07 F. Krzakala , M. Mezard , M. Mueller

A lattice model of RNA denaturation which fully accounts for the excluded volume effects among nucleotides is proposed. A numerical study shows that interactions forming pseudoknots must be included in order to get a sharp continuous…

软凝聚态物质 · 物理学 2007-05-23 M. Baiesi , E. Orlandini , A. L. Stella

We numerically study the wetting (adsorption) transition of a polymer chain on a disordered substrate in 1+1 dimension.Following the Poland-Scheraga model of DNA denaturation, we use a Fixman-Freire scheme for the entropy of loops. This…

无序系统与神经网络 · 物理学 2007-05-23 Thomas Garel , Cecile Monthus

In a recent paper (cond-mat/0009279), Fabricius and McCoy studied the spectrum of the spin 1/2 XXZ-model at Delta = (q+q^{-1})/2 and q^{2N}=1 for integer N >1. They found a certain pattern of degeneracies and linked it to the sl(2)-loop…

统计力学 · 物理学 2007-05-23 D. Braak , N. Andrei

We study secondary structures of random RNA molecules by means of a renormalized field theory based on an expansion in the sequence disorder. We show that there is a continuous phase transition from a molten phase at higher temperatures to…

生物大分子 · 定量生物学 2009-11-11 Michael Lässig , Kay Joerg Wiese

RNA molecules form a sequence-specific self-pairing pattern at low temperatures. We analyze this problem using a random pairing energy model as well as a random sequence model that includes a base stacking energy in favor of helix…

生物大分子 · 定量生物学 2009-11-13 Sheng Hui , Lei-Han Tang

We investigated how the finiteness of the length of the sequence affects the phase transition that takes place at DNA melting temperature. For this purpose, we modified the Transfer Integral method to adapt it to the calculation of both…

生物物理 · 物理学 2011-11-10 Sahin Buyukdagli , Marc Joyeux

We present an example of a scenario of particle production and decay in supersymmetry models in which the supersymmetry breaking is transmitted to the observable world via gravitational interactions. The case is chosen so that there is a…

高能物理 - 唯象学 · 物理学 2008-11-26 I. Hinchliffe , F. E. Paige

We study the effect of localized modes in lattices of size N with parity-time (PT) symmetry. Such modes are arranged in pairs of quasi-degenerate levels with splitting delta exp{-N/xi}, where \xi is their localization length. The level…

其他凝聚态物理 · 物理学 2009-09-02 Oliver Bendix , Ragnar Fleischmann , Tsampikos Kottos , Boris Shapiro

Directed polymers on 1+1 dimensional lattices coupled to a heat bath at temperature $T$ are studied numerically for three ensembles of the site disorder. In particular correlations of the disorder as well as fractal patterning are…

无序系统与神经网络 · 物理学 2022-09-01 Alexander K. Hartmann

We consider the quadrupolar glass model with infinite-range random interaction. Introducing a simple one-step replica symmetry breaking ansatz we investigate the para-glass continuous (discontinuous) transition which occurs below (above) a…

无序系统与神经网络 · 物理学 2007-05-23 F. P. Mancini , D. Sherrington

We study the statistical mechanics of RNA secondary structures designed to have an attraction between two different types of structures as a model system for heteropolymer aggregation. The competition between the branching entropy of the…

生物物理 · 物理学 2009-11-11 Vishwesha Guttal , Ralf Bundschuh

We analyze the spontaneous $U(1)_R$ symmetry breaking at finite temperature for the simple O'Raifeartaigh-type model introduced in [1] in connection with spontaneous supersymmetry breaking. We calculate the finite temperature effective…

高能物理 - 理论 · 物理学 2009-11-09 E. F. Moreno , F. A. Schaposnik

The optimized linear $\delta$-expansion is applied to multi-field $O(N_1) \times O(N_2)$ scalar theories at high temperatures. Using the imaginary time formalism the thermal masses are evaluated perturbatively up to order $\delta^2$ which…

高能物理 - 唯象学 · 物理学 2009-10-31 Marcus B. Pinto , Rudnei O. Ramos

Nonmesonic weak decays of s-shell hypernuclei are analyzed in microscopic models for the Lambda N to NN weak interaction. A scalar-isoscalar meson, sigma, is introduced and its importance in accounting the decay rates, n/p ratios and proton…

核理论 · 物理学 2009-11-10 K. Sasaki , M. Izaki , M. Oka

In a recent letter Marinari et al [Phys. Rev. Lett. 81, 1698 (1998)] introduced a new method to study spin glass transitions and argued that by probing replica symmetry (RS) as opposed to time reversal symmetry (TRS), their method…

无序系统与神经网络 · 物理学 2009-10-31 Hemant Bokil , A. J. Bray , Barbara Drossel , M. A. Moore

We study the distribution of the mean radial displacement of charges of a 2D one-component plasma in the thermodynamic limit $N\to\infty$ at finite temperature $\beta>0$. We compute explicitly the large deviation functions showing the…

数学物理 · 物理学 2015-06-29 Fabio Deelan Cunden , Anna Maltsev , Francesco Mezzadri

We study in details the dynamics of the one dimensional symmetric trap model, via a real-space renormalization procedure which becomes exact in the limit of zero temperature. In this limit, the diffusion front in each sample consists in two…

凝聚态物理 · 物理学 2009-11-10 Cecile Monthus

We study the fraction $f$ of nucleotides involved in the formation of a cactus--like secondary structure of random heteropolymer RNA--like molecules. In the low--temperature limit we study this fraction as a function of the number $c$ of…

基因组学 · 定量生物学 2013-05-30 O. V. Valba , M. V. Tamm , S. K. Nechaev