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Coarse-grained (lattice-) models have a long tradition in aiding efforts to decipher the physical or biological complexity of proteins. Despite the simplicity of these models, however, numerical simulations are often computationally very…

Soft Condensed Matter · Physics 2012-09-14 Thomas Wüst , David P. Landau

Questions of understanding and quantifying the representation and amount of information in organisms have become a central part of biological research, as they potentially hold the key to fundamental advances. In this paper, we demonstrate…

Genomics · Quantitative Biology 2007-10-30 H. M. Aktulga , I. Kontoyiannis , L. A. Lyznik , L. Szpankowski , A. Y. Grama , W. Szpankowski

We study the statistics of domain wall excitations in quantum spin chains. We focus on systems with finite symmetry groups represented by matrix product unitaries (MPUs), i.e. finite depth quantum circuits. Such symmetries can be anomalous,…

Strongly Correlated Electrons · Physics 2025-02-05 Jose Garre Rubio , Norbert Schuch

This article reviews theoretical and experimental developments for one-dimensional Fermi gases. Specifically, the experimentally realized two-component delta-function interacting Fermi gas -- the Gaudin-Yang model -- and its generalisations…

Quantum Gases · Physics 2013-12-02 Xi-Wen Guan , Murray T. Batchelor , Chaohong Lee

Extreme scaling for purposes of achieving higher density and lower energy continues to increase the probability of memory faults. For domain wall (DW) memories, misalignment faults arise when aligning domains with access points. A…

Emerging Technologies · Computer Science 2022-03-23 Kawsher Roxy , Stephen Longofono , Sebastien Olliver , Sanjukta Bhanja , Alex K. Jones

We model protein folding as a physical stochastic process as follows. The unfolded protein chain is treated as a random coil described by SAW (self-avoiding walk). Folding is induced by hydrophobic forces and other interactions, such as…

Soft Condensed Matter · Physics 2007-07-18 Kerson Huang

A model of disordered spin-Peierls system is considered, where domain walls are randomly distributed as a telegraph noise. For this realization of the disorder in an XX spin chain, we calculate exactly the density of states as well as…

Strongly Correlated Electrons · Physics 2009-10-30 M. Fabrizio , R. Mélin

We further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and…

Statistical Mechanics · Physics 2007-05-23 Peter F. Arndt , Vladimir Rittenberg

We studied the structural, dynamical properties and melting of a quasi-one-dimensional system of charged particles, interacting through a screened Coulomb potential. The ground state energy was calculated and, depending on the density and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. Piacente , I. V. Schweigert , J. J. Betouras , F. M. Peeters

Global expression analyses using microarray technologies are becoming more common in genomic research, therefore, new statistical challenges associated with combining information from multiple studies must be addressed. In this paper we…

Applications · Statistics 2013-01-29 Jia Li , George C. Tseng

We present a quantitative comparison between extensive Monte Carlo simulations and self-consistent field calculations on the phase diagram and wetting behavior of a symmetric, binary (AB) polymer blend confined into a film. The flat walls…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder

Frustrated spin systems generically suffer from the negative sign problem inherent to Monte Carlo methods. Since the severity of this problem is formulation dependent, optimization strategies can be put forward. We introduce a phase pinning…

Strongly Correlated Electrons · Physics 2021-08-18 Toshihiro Sato , Fakher F. Assaad

Experimental observations suggest that proteins follow different pathways under different environmental conditions. We perform molecular dynamics simulations of a model of the SH3 domain over a broad range of temperatures, and identify…

Biological Physics · Physics 2009-11-10 J. M. Borreguero , F. Ding , S. V. Buldyrev , H. E. Stanley , N. V. Dokholyan

Calculations of the binding energy of the transition metal oxide molecules TiO and MnO are presented, using a recently developed phaseless auxiliary field quantum Monte Carlo approach. This method maps the interacting many-body problem onto…

Strongly Correlated Electrons · Physics 2007-05-23 W. A. Al-Saidi , Henry Krakauer , Shiwei Zhang

Monte Carlo simulations are performed for the S = 1/2 XY and ferro- and antiferromagnetic Heisenberg model in two dimensions using the loop algorithm. Thermodynamic properties of all these models are investigated in wide temperature range.…

Statistical Mechanics · Physics 2013-02-07 A. K. Murtazaev , M. A. Magomedov

Probabilistic inversion methods based on Markov chain Monte Carlo (MCMC) simulation are well suited to quantify parameter and model uncertainty of nonlinear inverse problems. Yet, application of such methods to CPU-intensive forward models…

Geophysics · Physics 2017-01-11 M. Rosas-Carbajal , N. Linde , T. Kalscheuer , J. A. Vrugt

We present a quantitative investigation of magnetic domain wall pinning in thin magnets with perpendicular anisotropy. A self-consistent description exploiting the universal features of the depinning and thermally activated sub-threshold…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Vincent Jeudy , Rebeca Diaz Pardo , Williams Savero Torres , Sebastian Bustingorry , Alejandro Kolton

Normal mode analysis is a widely used technique for reconstructing conformational changes of proteins from the knowledge of native structures. In this Letter, we investigate to what extent normal modes capture the salient features of the…

Statistical Mechanics · Physics 2015-05-13 Francesco Piazza , Paolo De Los Rios , Fabio Cecconi

We study spectral statistics of one-dimensional quasi-periodic systems at the metal-insulator transition. Several types of spectral statistics are observed at the critical points, lines, and region. On the critical lines, we find the…

Condensed Matter · Physics 2007-05-23 Yoshihiro Takada , Kazusumi Ino , Masanori Yamanaka

We demonstrate that the recently proposed pruned-enriched Rosenbluth method PERM (P. Grassberger, Phys. Rev. E, in press (1997)) leads to extremely efficient algorithms for the folding of simple model proteins. We test it on several models…

Statistical Mechanics · Physics 2007-05-23 Ugo Bastolla , Helge Frauenkron , Erwin Gerstner , Peter Grassberger , Walter Nadler