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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 16 (1983), S. 1628-1631 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 16 (1983), S. 249-252 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 17 (1984), S. 2038-2044 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
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  • 4
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 18 (1985), S. 563-569 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 18 (1985), S. 569-573 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 114 (1992), S. 5386-5399 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 1248-1257 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The double scanning method (DSM) is a computer simulation technique suggested recently by Meirovitch [J. Chem. Phys. 89, 2514 (1988)]. This method is a variant of the usual or "single'' scanning method (SSM) of the same author, which was extended by us to polypeptides [Biopolymers 27, 1189 (1988); this paper is designated here as paper II]. The two methods are step-by-step construction procedures from which the entropy and the free energy can be estimated. The transition probabilities are obtained by scanning the so-called "future'' chains, which are continuations of the chain in future steps up to a maximum of b steps. With the SSM, the process is carried out by exact enumeration of the future chains; this is time consuming, and therefore b is limited to small values. With the DSM, on the other hand, only a relatively small sample of the future chains is generated by applying an additional scanning procedure. This enables one to increase b at the expense of approximating the transition probabilities. Increasing of b, however, is important in order to treat medium- and long-range interactions more properly. In this paper (as in our paper II), we apply the DSM to a model of decaglycine without solvent, described by the potential energy function ECEPP at 100 and 300 K. Using the SSM with the maximal value, b=4, we found in paper II that, at 100 K, the α helix rather than the statistical coil is the most stable state. The present DSM simulation at T=100 K (based on b=5) is more efficient than the SSM, and a structure with significantly lower energy than that of the α helix is found. It is argued that b can be increased further to 7 at this temperature. At 300 K the DSM, like the SSM, shows that the statistical coil is the most stable state of decaglycine. However, the DSM is found to be less efficient than the SSM. It is argued, however, that the DSM is expected to be advantageous (even at 300 K) to simulate more complex polypeptides that are stable in small regions of phase space (such as the α-helical state). Finally, it should be pointed out that the present method can be employed to treat a wide range of macromolecular models, such as those for synthetic polymers and nucleic acids.
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 4507-4515 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The scanning simulation method is applied to a model of polymer adsorption in which a single self-avoiding walk is terminally attached to an attracting impenetrable surface on a simple cubic lattice. Relatively long chains are studied, of up to 1000 steps, which enable us to obtain new estimates for the reciprocal transition temperature ||ε||/kBTa=θa =0.291±0.001 (ε is the interaction energy of a monomer with the surface), the crossover exponent φ=0.530±0.007 and the free energy exponents at Ta, γ1SB =1.304±0.006 and γ11SB =0.805±0.015. At T=∞ we obtain, γ1=0.687±0.005, γ11=−0.38±0.02, and the effective coordination number q=4.6839±0.0001, which are in good agreement with estimates obtained by other methods. At T〉Ta we demonstrate the existence of strong correction to scaling for the perpendicular part of the mean-square end-to-end distance 〈R2〉⊥ and for the monomer concentration profile ρ(z) (z is the distance from the surface). At T=∞ the leading correction to scaling term for 〈R2〉⊥ is c/Nψ, where c≈−0.9 and ψ≈0.4 is close to 0.5 obtained for the random walk model in the preceding paper. This means that the asymptotic regime, in which these corrections become negligible, corresponds to a large polymer length that is not realized experimentally. Close enough to Ta we demonstrate for our lattice model the validity of various scaling forms predicted by Eisenriegler, Kremer, and Binder [J. Chem. Phys. 77, 6296 (1982)] for a continuum model on the basis of the n-vector model.
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 4498-4506 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: This paper is the first in a series of papers in which polymer adsorption on a surface is studied by computer simulation using the "scanning method.'' This method is especially efficient to handle chain systems with finite interactions and geometrical constraints. Here we test the method by applying it to models of a single random walk (without excluded volume) on a simple cubic lattice, which are solved analytically; in the immediately following paper a self-avoiding walk model is treated. The scanning method is found to be extremely efficient, where walks of up to N=105 steps can be simulated reliably, leading thereby to very precise estimates of transition temperatures and critical exponents. In particular we test carefully for a lattice model the range of validity of scaling functions developed by Eisenrigler, Kremer and Binder [J. Chem. Phys. 77, 6296 (1982)] for a continuous model. We pay a special attention to corrections to scaling and demonstrate that they are strong above the transition temperature for 〈R2〉⊥, the perpendicular part of the mean-square end-to-end distance and for ρ(z), the monomer concentration profile. We show that at T=∞, the asymptotic regime, in which these corrections become negligible, is obtained for N≈40 000 for 〈R2〉⊥ but a significantly larger N is required for ρ(z). This means that this regime corresponds to a real polymer length that is not realized experimentally.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 5155-5161 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A self-attracting trail is a walk on a lattice which may intersect itself but two bonds are not allowed to overlap; an interaction energy ε (ε〈0) is associated with each self-intersection. Using the scanning simulation method, we study the tricritical behavior at the collapse transition of self-attracting trails of N≤250 steps on a simple cubic lattice. In the preceding paper (paper I) tricritical self-avoiding walks (SAWs) on the same lattice have been investigated. The tricritical temperature of trails is −ε/kBTt=0.550±0.004 (one standard deviation). The results for the radius of gyration, G, and the end-to-end distance, R, lead to νt=0.515±0.003, which is larger than νt=1/2, the theoretical prediction for SAWs. The ratio G2/R2=0.1676±0.0001 is slightly larger than 1/6=0.1666 ... predicted by theory for SAWs; The results for the partition function at Kt lead to γt=1.040±0.005 (as compared to the theoretical prediction for SAWs γt=1) and to the growth parameter value μt=5.0023±0.0020. The crossover exponent, φt, is approximately 0.5 as expected for SAWs at tricriticality; this value is significantly smaller than that found for SAWs in paper I. The results of G, R, and Z at Kt are found to be inconsistent with logarithmic corrections to scaling. However, we do not think that the above differences between trails and SAWs are sufficient to suggest unequivocally that the two models belong to different universality classes.
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