Special Issue "Cooperative Effects in Finite Systems"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 31 December 2023 | Viewed by 1807

Special Issue Editors

Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
Interests: optimized perturbation theory; self-similar approximation theory; method of self-similar prediction; correlated iteration theory; theory of heterophase fluctuations
Special Issues, Collections and Topics in MDPI journals
Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, CP 369, Sao Carlos 13560-970, SP, Brazil
Interests: Bose-Einstein condensation; trapped atoms; turbulence
Special Issues, Collections and Topics in MDPI journals
Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
Interests: transport in nanostructures; graphene; random matrix approach; nuclear structure
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Cooperative phenomena are at the basis of many-body physics. These phenomena are associated with particle interactions and correlations. For example, in condensed matter physics, such phenomena as sound, thermal conductivity, etc. are due to collective particle interactions. Cooperative phenomena are at the origin of phase transitions. The arising long-range, mid-range, or short-range orders are due to coherent action of many constituents. They lead to quantum effects, such as superfluidity and superconductivity. With the development of modern technologies, operating on a nanometer scale, a natural question arises about the manifestation of cooperative phenomena in mesoscopic systems. In these systems, the finite-size effects can become important, as can the influence of the surfaces and boundaries, whose role can be neglected for macroscopic systems. Understanding the peculiarities of these phenomena in a microscopic environment becomes a real challenge for science. Indeed, the study of physics phenomena in mesoscopic systems has grown into a wide field of interdisciplinary investigations involving various branches of natural sciences from physics to chemistry and biology to sociology. Thus, the importance of studying different aspects of cooperative phenomena that can break or preserve symmetries in their evolution between the macroscopic and microscopic world becomes obvious. The knowledge, gained in the study of mesoscopic systems, will deepen our understanding of cooperative phenomena in various branches of modern science and will be useful for the advancement of new technologies.

Prof. Dr. Vyacheslav Yukalov
Prof. Dr. V. S. Bagnato
Dr. Rashid G. Nazmitdinov
Guest Editors

Manuscript Submission Information

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Keywords

  • nanoclusters and nanomolecules
  • trapped Bose and fermi atoms
  • graphene and magnetic graphene
  • quantum dots
  • spintronics in nanomaterials
  • gauge symmetry
  • translation symmetry
  • mesoscopic superfluidity
  • mesoscopic superconductivity
  • mesoscopic Bose condensation
  • turbulence of trapped atoms
  • local symmetry breaking
  • mesoscopic fluctuations

Published Papers (3 papers)

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Research

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Article
Rippled Graphene as an Ideal Spin Inverter
Symmetry 2023, 15(8), 1593; https://doi.org/10.3390/sym15081593 - 16 Aug 2023
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Abstract
We analyze a ballistic electron transport through a corrugated (rippled) graphene system with a curvature-induced spin–orbit interaction. The corrugated system is connected from both sides to two flat graphene sheets. The rippled structure unit is modeled by upward and downward curved surfaces. The [...] Read more.
We analyze a ballistic electron transport through a corrugated (rippled) graphene system with a curvature-induced spin–orbit interaction. The corrugated system is connected from both sides to two flat graphene sheets. The rippled structure unit is modeled by upward and downward curved surfaces. The cooperative effect of N units connected together (the superlattice) on the transmission of electrons that incident at the arbitrary angles on the superlattice is considered. The set of optimal angles and corresponding numbers of N units that yield the robust spin inverter phenomenon are found. Full article
(This article belongs to the Special Issue Cooperative Effects in Finite Systems)
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Article
Density of States for the Unitary Fermi Gas and the Schwarzschild Black Hole
Symmetry 2023, 15(2), 350; https://doi.org/10.3390/sym15020350 - 27 Jan 2023
Viewed by 639
Abstract
The density of states of a quantum system can be calculated from its definition, but, in some cases, this approach is quite cumbersome. Alternatively, the density of states can be deduced from the microcanonical entropy or from the canonical partition function. After discussing [...] Read more.
The density of states of a quantum system can be calculated from its definition, but, in some cases, this approach is quite cumbersome. Alternatively, the density of states can be deduced from the microcanonical entropy or from the canonical partition function. After discussing the relationship among these procedures, we suggest a simple numerical method, which is equivalent in the thermodynamic limit to perform a Legendre transformation, to obtain the density of states from the Helmholtz free energy. We apply this method to determine the many-body density of states of the unitary Fermi gas, a very dilute system of identical fermions interacting with a divergent scattering length. The unitary Fermi gas is highly symmetric due to the absence of any internal scale except for the average distance between two particles and, for this reason, its equation of state is called universal. In the last part of the paper, by using the same thermodynamical techniques, we review some properties of the density of states of a Schwarzschild black hole, which shares the problem of finding the density of states directly from its definition with the unitary Fermi gas. Full article
(This article belongs to the Special Issue Cooperative Effects in Finite Systems)
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Review

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Review
Approximate Calculation of Functional Integrals Generated by Nonrelativistic and Relativistic Hamiltonians
Symmetry 2023, 15(9), 1785; https://doi.org/10.3390/sym15091785 - 18 Sep 2023
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Abstract
The discussion revolves around the most recent outcomes in the realm of approximating functional integrals through calculations. Review of works devoted to the application of functional integrals in quantum mechanics and quantum field theory, nuclear physics and in other areas is presented. Methods [...] Read more.
The discussion revolves around the most recent outcomes in the realm of approximating functional integrals through calculations. Review of works devoted to the application of functional integrals in quantum mechanics and quantum field theory, nuclear physics and in other areas is presented. Methods obtained by the authors for approximate calculation of functional integrals generated by nonrelativistic Hamiltonians are given. One of the methods is based on the expansion in eigenfunctions of the Hamiltonian. In an alternate approach, the functional integrals are tackled using the semiclassical approximation. Methods for approximate evaluation of functional integrals generated by relativistic Hamiltonians are presented. These are the methods using functional polynomial approximation (analogue of formulas of a given degree of accuracy) and methods based on the expansion in eigenfunctions of the Hamiltonian, generating a functional integral. Full article
(This article belongs to the Special Issue Cooperative Effects in Finite Systems)
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