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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 179, Number 1, Pages 123–133
DOI: https://doi.org/10.4213/tmf8608 (Mi tmf8608) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Dynamical phase transition in the simplest molecular chain model

V. A. Malyshev, S. A. Muzychka

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (414 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf8608
Abstract: We consider the dynamics of the simplest chain of a large number NN of particles. In the double scaling limit, we find the partition of the parameter space into two domains: for one domain, the supremum over the time interval (0,∞)(0,∞) of the relative extension of the chain tends to 11 as N→∞N→∞, and for the other domain, to infinity.
Keywords: statistical physics, double scaling limit, dynamical phase transition, Hooke's law, molecular chain.
Received: 31.10.2013
Revised: 24.11.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 179, Issue 1, Pages 490–499
DOI: https://doi.org/10.1007/s11232-014-0157-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Malyshev, S. A. Muzychka, “Dynamical phase transition in the simplest molecular chain model”, TMF, 179:1 (2014), 123–133; Theoret. and Math. Phys., 179:1 (2014), 490–499
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8608
  • https://www.mathnet.ru/eng/tmf/v179/i1/p123
    • This publication is cited in the following 5 articles:
    1. F. Aurzada, V. Betz, M. A. Lifshits, “Breaking a chain of interacting Brownian particles: a Gumbel limit theorem”, Theory Probab. Appl., 66:2 (2021), 184–208  mathnet  crossref  crossref  zmath  isi
    2. Aurzada F., Betz V., Lifshits M., “Universal Break Law For a Class of Models of Polymer Rupture”, J. Phys. A-Math. Theor., 54:30 (2021), 305204  crossref  mathscinet  isi
    3. Malyshev V.A., Petrova E.N., Pirogov S.A., “Asymptotically Solid Systems of Point Particles”, Markov Process. Relat. Fields, 26:2, SI (2020), 305–313  mathscinet  isi
    4. A.A. Lykov, V.A. Malyshev, M.V. Melikian, “Phase diagram for one-way traffic flow with local control”, Physica A: Statistical Mechanics and its Applications, 486 (2017), 849  crossref
    5. A. A. Lykov, V. A. Malyshev, M. V. Melikian, Communications in Computer and Information Science, 601, Distributed Computer and Communication Networks, 2016, 289  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:79
    First page:35
     
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