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Relevant bibliographies by topics / Random polymers, Universality, Weak disorder

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Academic literature on the topic 'Random polymers, Universality, Weak disorder'

Author: Grafiati

Published: 9 March 2023

Last updated: 31 July 2025

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Journal articles on the topic "Random polymers, Universality, Weak disorder"

1

Ioffe, Dmitry, and Yvan Velenik. "Crossing random walks and stretched polymers at weak disorder." Annals of Probability 40, no. 2 (2012): 714–42. http://dx.doi.org/10.1214/10-aop625.

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2

Comets, Francis, and Nobuo Yoshida. "Directed polymers in random environment are diffusive at weak disorder." Annals of Probability 34, no. 5 (2006): 1746–70. http://dx.doi.org/10.1214/009117905000000828.

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3

Miura, Mitsuharu, Yoshihiro Tawara, and Kaneharu Tsuchida. "Strong and Weak Disorder for Lévy Directed Polymers in Random Environment." Stochastic Analysis and Applications 26, no. 5 (2008): 1000–1012. http://dx.doi.org/10.1080/07362990802286418.

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4

Birkner, Matthias. "A Condition for Weak Disorder for Directed Polymers in Random Environment." Electronic Communications in Probability 9 (2004): 22–25. http://dx.doi.org/10.1214/ecp.v9-1104.

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5

Johnson, Torrey, and Edward C. Waymire. "Tree Polymers in the Infinite Volume Limit at Critical Strong Disorder." Journal of Applied Probability 48, no. 3 (2011): 885–91. http://dx.doi.org/10.1239/jap/1316796923.

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The almost-sure existence of a polymer probability in the infinite volume limit is readily obtained under general conditions of weak disorder from standard theory on multiplicative cascades or branching random walks. However, speculations in the case of strong disorder have been mixed. In this note existence of an infinite volume probability is established at critical strong disorder for which one has convergence in probability. Some calculations in support of a specific formula for the almost-sure asymptotic variance of the polymer path under strong disorder are also provided.

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6

Johnson, Torrey, and Edward C. Waymire. "Tree Polymers in the Infinite Volume Limit at Critical Strong Disorder." Journal of Applied Probability 48, no. 03 (2011): 885–91. http://dx.doi.org/10.1017/s0021900200008408.

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The almost-sure existence of a polymer probability in the infinite volume limit is readily obtained under general conditions of weak disorder from standard theory on multiplicative cascades or branching random walks. However, speculations in the case of strong disorder have been mixed. In this note existence of an infinite volume probability is established at critical strong disorder for which one has convergence in probability. Some calculations in support of a specific formula for the almost-sure asymptotic variance of the polymer path under strong disorder are also provided.

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7

Junk, Stefan. "New Characterization of the Weak Disorder Phase of Directed Polymers in Bounded Random Environments." Communications in Mathematical Physics 389, no. 2 (2021): 1087–97. http://dx.doi.org/10.1007/s00220-021-04259-9.

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8

LU, BING-SUI, FANGFU YE, XIANGJUN XING, and PAUL M. GOLDBART. "STATISTICAL PHYSICS OF ISOTROPIC-GENESIS NEMATIC ELASTOMERS: I. STRUCTURE AND CORRELATIONS AT HIGH TEMPERATURES." International Journal of Modern Physics B 27, no. 17 (2013): 1330012. http://dx.doi.org/10.1142/s0217979213300120.

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Isotropic-genesis nematic elastomers (IGNEs) are liquid crystalline polymers (LCPs) that have been randomly, permanently cross-linked in the high-temperature state so as to form an equilibrium random solid. Thus, instead of being free to diffuse throughout the entire volume, as they would be in the liquid state, the constituent LCPs in an IGNE are mobile only over a finite, segment specific, length-scale controlled by the density of cross-links. We address the effects that such network-induced localization have on the liquid–crystalline characteristics of an IGNE, as probed via measurements ma

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9

Micklitz, Tobias, and Alexander Altland. "Topology in the random scattering of light." Communications Physics 8, no. 1 (2025). https://doi.org/10.1038/s42005-025-02191-1.

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Abstract Light scattering in random media is usually considered within the framework of the three-dimensional Anderson universality class, with modifications for the vector nature of electromagnetic waves. We propose that the linear dispersiveness of light introduces topological aspects into the picture. The dynamics of electromagnetic waves follow the same differential equations as those of a spin-1 Weyl semimetal. In the presence of disorder, this equivalence leads to a range of phenomena explored in this paper. These include topological protection against localization when helicity hybridiz

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10

Hurth, Tobias, Konstantin Khanin, Beatriz Navarro Lameda, and Fedor Nazarov. "On a Factorization Formula for the Partition Function of Directed Polymers." Journal of Statistical Physics 190, no. 10 (2023). http://dx.doi.org/10.1007/s10955-023-03172-w.

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AbstractWe prove a factorization formula for the point-to-point partition function associated with a model of directed polymers on the space-time lattice $$\mathbb {Z}^{d+1}$$ Z d + 1 . The polymers are subject to a random potential induced by independent identically distributed random variables and we consider the regime of weak disorder, where polymers behave diffusively. We show that when writing the quotient of the point-to-point partition function and the transition probability for the underlying random walk as the product of two point-to-line partition functions plus an error term, then,

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Dissertations / Theses on the topic "Random polymers, Universality, Weak disorder"

1

TORRI, NICCOLÒ. "Phénomènes de localisation et d’universalité pour des polymères aléatoires." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2015. http://hdl.handle.net/10281/88222.

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Da un punto di vista chimico e fisico, un polimero è una lunga catena di unità ripetute, chiamate monomeri, quasi identiche nella struttura, ma che possono differire tra loro per il grado di affinità rispetto ad alcuni solventi. Questa caratteristica permette di avere delle interazioni tra il polimero e l’ambiente in cui esso si trova. Tale interazione può dare luogo a fenomeni di localizzazione e concentrazione ed è possibile osservare una transizione di fase. Nel caso in cui questa regione è un punto o una linea si parla di modello di pinning, che rappresenta il principale oggetto di studio

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Torri, Niccolò. "Phénomènes de localisation et d’universalité pour des polymères aléatoires." Thesis, Lyon 1, 2015. http://www.theses.fr/2015LYO10114/document.

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Le modèle d'accrochage de polymère décrit le comportement d'une chaîne de Markov en interaction avec un état donné. Cette interaction peut attirer ou repousser la chaîne de Markov et elle est modulée par deux paramètres, h et β. Quand β = 0 on parle de modèle homogène, qui est complètement solvable. Le modèle désordonné, i.e. quand β > 0, est mathématiquement le plus intéressant. Dans ce cas, l'interaction dépend d'une source d'aléa extérieur indépendant de la chaîne de Markov, appelée désordre. L'interaction est réalisée en modifiant la loi originelle de la chaîne de Markov par une mesure

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Books on the topic "Random polymers, Universality, Weak disorder"

1

Spohn, Herbert. The Kardar–Parisi–Zhang equation: a statistical physics perspective. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797319.003.0004.

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This chapter covers the one-dimensional Kardar–Parisi–Zhang equation, weak drive limit, universality, directed polymers in a random medium, replica solutions, statistical mechanics of line ensembles, and its generalization to several components which is used to study equilibrium time correlations of anharmonic chains and of the discrete nonlinear Schrödinger equation.

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