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Lattice model of directed self avoiding walk is used to investigate adsorption properties of a semiflexible sequential copolymer chain on an impenetrable curved surface on a hexagonal lattice in two dimensions. Walks of the copolymer chains…

Statistical Mechanics · Physics 2010-06-02 Pramod Kumar Mishra

The physical chemistry of liquid-liquid phase separation (LLPS) of polymer solutions bears directly on the assembly of biologically functional droplet-like bodies from proteins and nucleic acids. These biomolecular condensates include…

Biomolecules · Quantitative Biology 2020-01-31 Yi-Hsuan Lin , Jacob P. Brady , Hue Sun Chan , Kingshuk Ghosh

We demonstrate that the recently proposed pruned-enriched Rosenbluth method PERM (P.~Grassberger, Phys.~Rev.~{\bf E 56} (1997) 3682) leads to very efficient algorithms for the folding of simple model proteins. We test it on several models…

Soft Condensed Matter · Physics 2007-05-23 H. Frauenkron , U. Bastolla , E. Gerstner , P. Grassberger , und W. Nadler

We use the lattice model of directed walks to investigate the conformational as well as the adsorption properties of a semiflexible homopolymer chain immersed in a good solvent in two and three dimensions. To account for the stiffness in…

Statistical Mechanics · Physics 2009-11-07 P. K. Mishra , S. Kumar , Y. Singh

We describe a general strategy, PERM (Pruned-Enriched Rosenbluth Method), for sampling configurations from a given Gibbs-Boltzmann distribution. The method is not based on the Metropolis concept of establishing a Markov process whose…

Soft Condensed Matter · Physics 2007-05-23 P. Grassberger , und H. Frauenkron

We present results of Monte Carlo computer simulations of a coarse-grained hydrophobic-polar Go-like heteropolymer model and discuss thermodynamic properties and kinetics of an exemplified heteropolymer, exhibiting two-state folding…

Soft Condensed Matter · Physics 2009-11-13 Anna Kallias , Michael Bachmann , Wolfhard Janke

We show how dynamic heterogeneities (DH), a hallmark of glass-forming materials, depend on chain flexibility and chain length in polymers. For highly flexible polymers, a relatively large number of monomers ($N_c\sim500$) undergo correlated…

Soft Condensed Matter · Physics 2025-11-25 Matthew Reynolds , Daniel L. Baker , Peter D. Olmsted , Johan Mattsson

The density of states contains all informations on energetic quantities of a statistical system, such as the mean energy, free energy, entropy, and specific heat. As a specific application, we consider in this work a simple lattice model…

Soft Condensed Matter · Physics 2007-10-23 Michael Bachmann , Wolfhard Janke

Single linear polymer chains in dilute solutions under good solvent conditions are studied by Monte Carlo simulations with the pruned-enriched Rosenbluth method up to the chain length $N \sim {\cal O}(10^4)$. Based on the standard simple…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu

I use a mean-field approximation to show the rapid collapse of heteropolymers from random walk size to a much smaller, molten globule state due to hydrophobic interactions, to be followed by a slower annealing process in which there is…

Biological Physics · Physics 2019-07-23 Ramzi R. Khuri

The effective motion equation that describes the different monomer alternation along the heteropolymer chain is proposed. On its basis the supersymmetry field scheme that allows to obtain the equations for the structure factor and Green…

Statistical Mechanics · Physics 2007-05-23 Alexander I. Olemskoi , Valerii A. Brazhnyi

We use machine learning algorithms to detect the crystalline phase in undercooled melts in molecular dynamics simulations. Our classification method is based on local conformation and environmental fingerprints of individual monomers. In…

Soft Condensed Matter · Physics 2023-11-02 Atmika Bhardwaj , Jens-Uwe Sommer , Marco Werner

We consider polymers in which M randomly selected pairs of monomers are restricted to be in contact. Analytical arguments and numerical simulations show that an ideal (Gaussian) chain of N monomers remains expanded as long as M<<N; its mean…

Condensed Matter · Physics 2009-10-28 Yacov Kantor , Mehran Kardar

We use complete enumeration and Monte Carlo techniques to study two-dimensional self-avoiding polymer chains with quenched ``charges'' $\pm 1$. The interaction of charges at neighboring lattice sites is described by $q_i q_j$. We find that…

Soft Condensed Matter · Physics 2009-10-30 Ido Golding , Yacov Kantor

Cell dynamics simulation is used to investigate the phase behavior of block copolymer/homopolymer mixture subjected to a steady shear flow. Phase transitions occur from transverse to parallel and then to perpendicular lamellar structure…

Soft Condensed Matter · Physics 2015-06-29 Y. Guo , J. Zhang , B. Wang , H. Wu , M. Sun , J. Pan

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

We present an analytical theory for heteropolymer deformation, as exemplified experimentally by stretching of single protein molecules. Using a mean-field replica theory, we determine phase diagrams for stress-induced unfolding of typical…

Statistical Mechanics · Physics 2009-11-07 Phillip L. Geissler , Eugene I. Shakhnovich

The thermodynamic behavior and structural properties of hydrophobic-polar (HP) lattice proteins interacting with attractive surfaces are studied by means of Wang-Landau sampling. Three benchmark HP sequences (48mer, 67mer, and 103mer) are…

Soft Condensed Matter · Physics 2013-01-16 Ying Wai Li , Thomas Wüst , David P. Landau

We propose and solve a simple model describing secondary structure formation in random hetero-polymers. It describes monomers with a combination of one-dimensional short-range interactions (representing steric forces and hydrogen bonds) and…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. S. Skantzos , J. van Mourik , A. C. C. Coolen

We use an off-lattice microscopic model for solutions of equilibrium polymers (EP) in a lamellar shear flow generated by means of a self-consistent external field between parallel hard walls. The individual conformations of the chains are…

Soft Condensed Matter · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau
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