书目名称 | Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems |
副标题 | Diffusive Epidemic P |
编辑 | Malo Tarpin |
视频video | |
概述 | Nominated as an outstanding PhD thesis by the University of Grenobles Alpes.A valuable contribution to our understanding of critical stationary states in out-of-equilibrium systems.Presents new mathem |
丛书名称 | Springer Theses |
图书封面 |  |
描述 | This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the N |
出版日期 | Book 2020 |
关键词 | Non-perturbative Renormalization Group; Functional Renormalization Group; Statistical Field Theory; Out |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-39871-2 |
isbn_softcover | 978-3-030-39873-6 |
isbn_ebook | 978-3-030-39871-2Series ISSN 2190-5053 Series E-ISSN 2190-5061 |
issn_series | 2190-5053 |
copyright | Springer Nature Switzerland AG 2020 |