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Books on the topic 'Random polymers'

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Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

Hollander, Frank. Random Polymers. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00333-2.

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2

Random polymers. New York: Springer, 2009.

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3

R. W. van der Hofstad. One-dimensional random polymers. Amsterdam, The Netherlands: CWI, 1998.

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4

Comets, Francis. Directed Polymers in Random Environments. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50487-2.

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5

The Langevin and generalised Langevin approach to the dynamics of atomic, polymeric and colloidal systems. Amsterdam: Elsevier, 2005.

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6

Random Polymer Models. Imperial College Press, 2007.

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7

Giacomin, Giambattista. Random Polymer Models. Imperial College Press, 2007.

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8

Hollander, Frank den. Random Polymers: École d'Été de Probabilités de Saint-Flour XXXVII - 2007. Springer London, Limited, 2009.

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9

Comets, Francis. Directed Polymers in Random Environments: École d'Été de Probabilités de Saint-Flour XLVI – 2016. Springer, 2017.

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10

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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11

McLeish, Tom. Soft Matter: A Very Short Introduction. Oxford University Press, 2020. http://dx.doi.org/10.1093/actrade/9780198807131.001.0001.

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Soft Matter: A Very Short Introduction explores the field of soft matter, looking beneath the appearances of matter into its inner structure. Drawing on physics, chemistry, mathematics, and engineering, soft matter science links fundamental scientific ideas to everyday phenomena such as ‘inkiness’ and ‘stickiness’, with a rich history and philosophy. It studies materials such as polymers, colloids, liquid crystals, and foams. This VSI shows how Brownian Motion—the random molecular motion underlying ‘heat’—is an underpinning principle of soft matter. From hair conditioners to honey, it discusses how common characteristics of these materials shape their behaviour and applications.

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12

Tulino, Antonia, and Sergio Verdu. Random matrix theory and ribonucleic acid (RNA) folding. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.42.

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This article discusses a series of recent applications of random matrix theory (RMT) to the problem of RNA folding. It first provides a schematic overview of the RNA folding problem, focusing on the concept of RNA pseudoknots, before considering a simplified framework for describing the folding of an RNA molecule; this framework is given by the statistic mechanical model of a polymer chain of L nucleotides in three dimensions with interacting monomers. The article proceeds by presenting a physical interpretation of the RNA matrix model and analysing the large-N expansion of the matrix integral, along with the pseudoknotted homopolymer chain. It extends previous results about the asymptotic distribution of pseudoknots of a phantom homopolymer chain in the limit of large chain length.

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13

Snook, Ian. Langevin and Generalised Langevin Approach to the Dynamics of Atomic, Polymeric and Colloidal Systems. Elsevier Science & Technology Books, 2006.

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14

Snook, Ian. The Langevin and Generalised Langevin Approach to the Dynamics of Atomic, Polymeric and Colloidal Systems. Elsevier Science, 2007.

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15

Vigdor, Steven E. Randomness and Complexity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198814825.003.0007.

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Chapter 7 describes the fundamental role of randomness in quantum mechanics, in generating the first biomolecules, and in biological evolution. Experiments testing the Einstein–Podolsky–Rosen paradox have demonstrated, via Bell’s inequalities, that no local hidden variable theory can provide a viable alternative to quantum mechanics, with its fundamental randomness built in. Randomness presumably plays an equally important role in the chemical assembly of a wide array of polymer molecules to be sampled for their ability to store genetic information and self-replicate, fueling the sort of abiogenesis assumed in the RNA world hypothesis of life’s beginnings. Evidence for random mutations in biological evolution, microevolution of both bacteria and antibodies and macroevolution of the species, is briefly reviewed. The importance of natural selection in guiding the adaptation of species to changing environments is emphasized. A speculative role of cosmological natural selection for black-hole fecundity in the evolution of universes is discussed.

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