An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $$d>4$$
Sign Up to like & getrecommendations! Published in 2024 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-025-01415-3
Abstract: This article proposes a new way of deriving mean-field exponents for the weakly self-avoiding walk model in dimensions $$d>4$$ d > 4 . Among other results, we obtain up-to-constant estimates for the full-space and half-space… read more here.
Keywords: approach mean; self avoiding; mean field; weakly self ... See more keywords
A self-avoiding walk with neural delays as a model of fixational eye movements
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DOI: 10.1038/s41598-017-13489-8
Abstract: Fixational eye movements show scaling behaviour of the positional mean-squared displacement with a characteristic transition from persistence to antipersistence for increasing time-lag. These statistical patterns were found to be mainly shaped by microsaccades (fast, small-amplitude… read more here.
Keywords: eye movements; self avoiding; avoiding walk; model fixational ... See more keywords
The coil-globule transition in self-avoiding active polymers.
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DOI: 10.1039/d0sm01526a
Abstract: We perform numerical simulations of an active fully flexible self-avoiding polymer as a function of the quality of the embedding solvent described in terms of an effective monomer-monomer interaction. Specifically, by extracting the Flory exponent… read more here.
Keywords: coil globule; transition self; active polymers; self avoiding ... See more keywords
Exact enumeration of self-avoiding walks on BCC and FCC lattices
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DOI: 10.1088/1742-5468/aa819f
Abstract: Self-avoiding walks on the body-centered-cubic (BCC) and face-centered-cubic (FCC) lattices are enumerated up to lengths 28 and 24, respectively, using the length-doubling method. Analysis of the enumeration results yields values for the exponents γ and… read more here.
Keywords: fcc lattices; exact enumeration; self avoiding; avoiding walks ... See more keywords
New scaling laws for self-avoiding walks: bridges and worms
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab4584
Abstract: We show how the theory of the critical behaviour of $d$-dimensional polymer networks gives a scaling relation for self-avoiding {\em bridges} that relates the critical exponent for bridges $\gamma_b$ to that of terminally-attached self-avoiding arches,… read more here.
Keywords: laws self; new scaling; self avoiding; scaling laws ... See more keywords
Minimization of spatial cover times for impaired self-avoiding random walks: the mirage effect
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ac02b8
Abstract: Self-avoidance is a common mechanism to improve the efficiency of a random walker for covering a spatial domain. However, how this efficiency decreases when self-avoidance is impaired or limited by other processes has remained largely… read more here.
Keywords: mirage effect; self avoiding; self; cover ... See more keywords
Adsorbed self-avoiding walks pulled at an interior vertex
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab3cb1
Abstract: We consider self-avoiding walks terminally attached to a surface at which they can adsorb. A force is applied, normal to the surface, to desorb the walk and we investigate how the behaviour depends on the… read more here.
Keywords: walks pulled; interior vertex; pulled interior; self avoiding ... See more keywords
Enumerative Combinatorics of Lattice Polymers
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DOI: 10.1090/noti2255
Abstract: DOI: https://doi.org/10.1090/noti2255 physicists who appreciatemathematical beauty), the physicallymotivatedmodels aremathematically appealing, and have rich combinatorial structure. The third reason is that it is just a really fun research topic. The most fundamental model is the self-avoiding… read more here.
Keywords: lattice polymers; avoiding walk; walk; enumerative combinatorics ... See more keywords
Large deviations of convex hulls of self-avoiding random walks.
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DOI: 10.1103/physreve.97.062159
Abstract: A global picture of a random particle movement is given by the convex hull of the visited points. We obtained numerically the probability distributions of the volume and surface of the convex hulls of a… read more here.
Keywords: convex hulls; deviations convex; self avoiding; random walks ... See more keywords
Self-Avoiding Wormlike Chain Confined in a Cylindrical Tube: Scaling Behavior.
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DOI: 10.1103/physrevlett.121.037801
Abstract: Within a confining tube section, the multithreads of a strongly confined, backfolding polymer exert the excluded-volume repulsions on each other and produce physical properties that are very different from those of a confined ideal chain.… read more here.
Keywords: chain; self avoiding; chain confined; wormlike chain ... See more keywords
Cyclization and Relaxation Dynamics of Finite-Length Collapsed Self-Avoiding Polymers.
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DOI: 10.1103/physrevlett.122.067801
Abstract: We study the cyclization and relaxation dynamics of ideal as well as interacting polymers as a function of chain length N. For the cyclization time τ_{cyc} of ideal chains we recover the known scaling τ_{cyc}∼N^{2}… read more here.
Keywords: self avoiding; cyclization relaxation; relaxation dynamics; length ... See more keywords