The Experts below are selected from a list of 32826 Experts worldwide ranked by ideXlab platform
Yu I Dublenych - One of the best experts on this subject based on the ideXlab platform.
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ground states of the lattice gas model on the triangular lattice with nearest and next nearest neighbor pairwise interactions and with three particle interaction ground states at boundaries of full dimensional regions
Physical Review E, 2011Co-Authors: Yu I DublenychAbstract:We analyze the ground states at boundaries of four-dimensional (full-dimensional) ground-state regions of the lattice-gas model on the Infinite Plane triangular lattice with nearest- and next-nearest-neighbor pairwise interactions and with additional interaction between three particles at the vertices of a nearest-neighbor triangle. In such a way we determine the ground states at fixed density of particles (coverage) and make the comparison to experiments possible. A surprisingly rich variety of structures is found: ordered periodic, ordered-but-aperiodic, disordered with various degree of disorder, and multiple-twin structures. The first-order and continuous phase transitions are identified. The degree of disorder for disordered ground states is analyzed. One of the most interesting results is the discovery of an Infinite sequence of ground states at a boundary between two phases.
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ground states of the lattice gas model on the triangular lattice with nearest and next nearest neighbor pairwise interactions and with three particle interaction full dimensional ground states
Physical Review E, 2011Co-Authors: Yu I DublenychAbstract:In this paper, we completely solve the problem of the ground states of the lattice-gas model on the Infinite Plane triangular lattice with nearest- and next-nearest-neighbor pairwise interactions and with additional interaction between three particles at the vertices of a nearest-neighbor triangle. We use this model to illustrate how the complete solution of the ground-state problem of a lattice-gas model (or equivalent spin model) should look.
Y Y Pashinin - One of the best experts on this subject based on the ideXlab platform.
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stability condition for strong shock waves in the problem of flow around an Infinite Plane wedge
Nonlinear Analysis: Hybrid Systems, 2008Co-Authors: A M Blokhin, D L Tkachev, Y Y PashininAbstract:Abstract We consider the thermodynamical equilibrium state flow of an inviscid non-heat-conducting gas flowing around a Plane Infinite wedge, and study the stationary solution to this problem–the so-called strong shock wave; the flow behind the shock front is subsonic. We find the solution to the linear analog of the original mixed problem, prove that the solution trace on the shock wave is the superposition of the direct and reflected waves, and (the main point) justify the Lyapunov asymptotical stability of the strong shock wave provided that the uniform Lopatinsky condition is fulfilled. The initial data have a compact support, and the solvability conditions occur.
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the strong shock wave in the problem on flow around Infinite Plane wedge
2008Co-Authors: D L Tkachev, A M Blokhin, Y Y PashininAbstract:We consider the flow of an inviscid nonheat-conducting gas at the thermodynamical equilibrium around a Plane Infinite wedge and study the stationary solution to this problem associated with the so-called strong shock wave, when the flow behind the shock is subsonic. We find a solution to the linearized problem and prove that its trace on the shock wave is a superposition of direct and reflected waves. Moreover, and that is most important, we prove the asymptotic Lyapunov’s stability of the strong shock wave provided that the uniform Lopatinsky condition is fulfilled, the initial data are compactly supported, and some solvability conditions are satisfied.
C Q Ru - One of the best experts on this subject based on the ideXlab platform.
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uniform strain fields inside multiple inclusions in an elastic Infinite Plane under anti Plane shear
Mathematics and Mechanics of Solids, 2017Co-Authors: C Q RuAbstract:This paper constructs multiple elastic inclusions with prescribed uniform internal strain fields embedded in an Infinite matrix under given uniform remote anti-Plane shear. The method used is based on the sufficient and necessary conditions imposed on the boundary values of a holomorphic function, which guarantee the existence of the holomorphic function in a multiply connected region. The unknown shape of each of the multiple inclusions is characterized by a polynomial conformal mapping with a finite number of unknown coefficients. With the aid of Cauchy’s integral formula and Faber series, these unknown coefficients are determined by a system of nonlinear equations. Detailed numerical examples are shown for multiple inclusions with various prescribed uniform internal strain fields, for symmetrical inclusions and for inclusions whose shapes are independent of the remote loading, respectively. It is found that the admissible range of uniform internal strain fields for multiple inclusions is moderately lar...
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uniform stress fields inside multiple inclusions in an elastic Infinite Plane under Plane deformation
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2015Co-Authors: C Q RuAbstract:Multiple elastic inclusions with uniform internal stress fields in an Infinite elastic matrix are constructed under given uniform remote in-Plane loadings. The method is based on the sufficient and necessary condition imposed on the boundary value of a holomorphic function that guarantees the existence of the holomorphic function in a multiply connected region. The unknown shape of each of the multiple inclusions is characterized by a conformal mapping. This work focuses on a major large class of multiple inclusions characterized by a simple condition that covers and is much beyond the known related results reported in previous works. Extensive examples of multiple inclusions with or without geometrical symmetry are shown. Our results showed that the inclusion shapes obtained for the uniformity of internal stress fields are independent of the remote loading only when all of the multiple inclusions have the same shear modulus as that of the matrix. Moreover, specific conditions are derived on remote loading, elastic constants of the inclusions and uniform internal stress fields, which guarantee the existence of multiple symmetric inclusions or multiple rotationally symmetrical inclusions with uniform internal stress fields.
Pavel Roslyakov - One of the best experts on this subject based on the ideXlab platform.
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multi parameter description of the crack tip stress field analytic determination of coefficients of crack tip stress expansions in the vicinity of the crack tips of two finite cracks in an Infinite Plane medium
International Journal of Solids and Structures, 2016Co-Authors: L V Stepanova, Pavel RoslyakovAbstract:Abstract The study is aimed at analytical determination of coefficients in crack tip stress expansions for two collinear finite cracks of equal lengths in an Infinite Plane medium. The study is based on the solutions of the complex variable theory in Plane elasticity theory. Multiparametric presentation of the stress field near the crack tips in the Infinite plate with two collinear cracks of finite lengths is obtained and analyzed for a full range of mixed mode loading from pure tension to pure shear. The method of analytical determination of coefficients of the complete asymptotic expansion of the stress field near the crack tip is presented. The influence of consideration of various numbers of terms of the series expansion on the stress distribution is discussed, and the significance of the multi-parameter fracture mechanics approach is emphasized.
Moe Z. Win - One of the best experts on this subject based on the ideXlab platform.
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percolation and connectivity in the intrinsically secure communications graph
IEEE Transactions on Information Theory, 2012Co-Authors: Pedro Pinto, Moe Z. WinAbstract:The ability to exchange secret information is critical to many commercial, governmental, and military networks. The intrinsically secure communications graph (iS-graph) is a random graph which describes the connections that can be securely established over a large-scale network, by exploiting the physical properties of the wireless medium. This paper aims to characterize the global properties of the iS-graph in terms of (1) percolation on the Infinite Plane, and (2) full connectivity on a finite region. First, for the Poisson iS-graph defined on the Infinite Plane, the existence of a phase transition is proven, whereby an unbounded component of connected nodes suddenly arises as the density of legitimate nodes is increased. This shows that long-range secure communication is still possible in the presence of eavesdroppers. Second, full connectivity on a finite region of the Poisson iS-graph is considered. The exact asymptotic behavior of full connectivity in the limit of a large density of legitimate nodes is characterized. Then, simple, explicit expressions are derived in order to closely approximate the probability of full connectivity for a finite density of legitimate nodes. These results help clarify how the presence of eavesdroppers can compromise long-range secure communication.
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Percolation and Connectivity in the Intrinsically Secure Communications Graph
arXiv: Information Theory, 2010Co-Authors: Pedro Pinto, Moe Z. WinAbstract:The ability to exchange secret information is critical to many commercial, governmental, and military networks. The intrinsically secure communications graph (iS-graph) is a random graph which describes the connections that can be securely established over a large-scale network, by exploiting the physical properties of the wireless medium. This paper aims to characterize the global properties of the iS-graph in terms of: (i) percolation on the Infinite Plane, and (ii) full connectivity on a finite region. First, for the Poisson iS-graph defined on the Infinite Plane, the existence of a phase transition is proven, whereby an unbounded component of connected nodes suddenly arises as the density of legitimate nodes is increased. This shows that long-range secure communication is still possible in the presence of eavesdroppers. Second, full connectivity on a finite region of the Poisson iS-graph is considered. The exact asymptotic behavior of full connectivity in the limit of a large density of legitimate nodes is characterized. Then, simple, explicit expressions are derived in order to closely approximate the probability of full connectivity for a finite density of legitimate nodes. The results help clarify how the presence of eavesdroppers can compromise long-range secure communication.