Communications in Mathematical Physics最新文献_第6页

Segre Surfaces and Geometry of the Painlevé Equations 疼痛水平方程的分离曲面和几何

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05679-1

Nalini Joshi, Marta Mazzocco, Pieter Roffelsen

引用次数: 0

Ionic KdV Structure in Weakly Collisional Plasmas 弱碰撞等离子体中的离子KdV结构

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05721-2

Renjun Duan, Zongguang Li, Dongcheng Yang, Tong Yang

{"title":"Ionic KdV Structure in Weakly Collisional Plasmas","authors":"Renjun Duan, Zongguang Li, Dongcheng Yang, Tong Yang","doi":"10.1007/s00220-026-05721-2","DOIUrl":"10.1007/s00220-026-05721-2","url":null,"abstract":"<div>We consider the one-dimensional ions dynamics in weakly collisional plasmas governed by the Vlasov–Poisson–Landau system under the Boltzmann relation with the small collision frequency (nu >0). It is observed in physical experiments that the interplay of nonlinearities and dispersion may lead to the formation of ion acoustic solitons that are described by the Korteweg–de Vries equation. In this paper, to capture the ionic KdV structure in the weak-collision regime, we study the combined cold-ions limit and longwave limit of the rescaled VPL system depending on a small scaling parameter (epsilon >0). The main goal is to justify the uniform convergence of the VPL solutions to the KdV solutions over any finite time interval as (epsilon rightarrow 0) under restriction that (epsilon ^{3/2}lesssim nu lesssim epsilon ^{1/2}). The proof is based on the energy method near local Maxwellians for making use of the Euler–Poisson dynamics under the longwave scaling. The KdV profiles, in particular including both velocity field and electric potential, may have large amplitude, which induces the cubic velocity growth. To overcome the (epsilon )-singularity in such multi-parameter limit problem, we design delicate velocity weighted energy functional and dissipation rate functional in the framework of macro-micro decomposition that is further incorporated with the Caflisch’s decomposition. As an application of our approach, the global-in-time existence of solutions near global Maxwellians when the KdV profile is degenerate to a constant equilibrium is also established under the same scaling with (epsilon ^{3}lesssim nu lesssim epsilon ^{5/2}). For the proof, the velocity weight is modified to depend on the solution itself, providing an extra quartic dissipation so as to obtain the global dynamics for most singular Coulomb potentials.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05721-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modified Logarithmic Sobolev Inequalities for CSS Codes CSS代码的修正对数Sobolev不等式

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05654-w

Sebastian Stengele, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández, Cambyse Rouzé, Simone Warzel

引用次数: 0

Type I Anomaly Cancellation Revisited I型异常取消再次访问

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05687-1

Saghar S. Hosseini, Yuji Tachikawa, Hao Y. Zhang

引用次数: 0

The Transition Threshold for the 2D Couette Flow in the Infinite Channel 无限通道中二维库埃特流的过渡阈值

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05689-z

Qionglei Chen, Zhen Li, Changxing Miao

{"title":"The Transition Threshold for the 2D Couette Flow in the Infinite Channel","authors":"Qionglei Chen, Zhen Li, Changxing Miao","doi":"10.1007/s00220-026-05689-z","DOIUrl":"10.1007/s00220-026-05689-z","url":null,"abstract":"<div>We investigate the stability of the 2-D Navier–Stokes equations in the infinite channel ({mathbb {R}}times [-1,1]) with the Navier-slip boundary condition. We show that if the initial perturbations (omega ^{in}) around the Couette flow satisfy (Vert omega ^{in}Vert _{H^3_{x,y}cap L^1_x H^3_y}leqslant cnu ^{frac{1}{3}}), the solution admits enhanced dissipation at x-frequencies (|k|gg nu ) and inviscid damping effect. The key contributions lie in two parts: (1) we adopt the new decomposition of the vorticity (omega =omega _{L}+omega _e), where (omega _L) effectively captures a “weak” enhanced dissipation ((1+nu ^{frac{1}{3}} t)^{-frac{1}{4}}e^{-nu t}) and the corresponding velocity exhibits the inviscid damping effect; (2) we introduce the dyadic decomposition for the long time scale (tgeqslant nu ^{-frac{1}{6}}) and apply the “infinite superposition principle\" to the equation for (omega _e) in order to control the growth induced by echo cascades, which appears to be novel and may hold independent significance.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652207","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the Geometry and Uniqueness of Asymptotically Locally Hyperbolic Static Vacuum Black Holes 渐近局部双曲型静态真空黑洞的几何和唯一性

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05717-y

Brian Harvie, Ye-Kai Wang

{"title":"On the Geometry and Uniqueness of Asymptotically Locally Hyperbolic Static Vacuum Black Holes","authors":"Brian Harvie, Ye-Kai Wang","doi":"10.1007/s00220-026-05717-y","DOIUrl":"10.1007/s00220-026-05717-y","url":null,"abstract":"<div>We establish several geometric characterizations and rigidity results for 3-dimensional asymptotically locally hyperbolic (ALH) static spaces with horizon boundary. Notably, a 3-dimensional ALH static space with toroidal infinity and strictly non-spherical horizons is isometric to a toroidal Kottler metric. Furthermore, we show that the surface gravity of a static horizon with spherical infinity is bounded below by (sqrt{3}), with equality achieved only by the critical AdS-Schwarzschild metric. Consequently, Poincaré-Einstein fillings of (S^{2} times S^{1}(lambda )) arising from these spaces have length parameter (lambda le (sqrt{3})^{-1}), which supports a recent conjecture of Chang-Yang-Zhang[18]. Finally, static horizons with hyperbolic infinity and non-negative Chruściel-Herzlich mass obey the reverse Riemannian Penrose inequality. In conjunction with work of Ge-Wang-Wu-Xia [29], we use this fact to obtain uniqueness of static ALH graphs with hyperbolic infinities. These results follow from a generalization of the Minkowski inequality in AdS-Schwarzschild space due to Brendle-Hung-Wang [15]. Using optimal coefficients for the sub-static Heintze-Karcher inequality from [24], we construct a new monotone quantity under inverse mean curvature flow (IMCF) in static spaces with negative cosmological constant. Another fundamental tool developed in this paper is a regularity theorem for IMCF in ALH manifolds. Specifically, we prove that a weak solution of IMCF in an ALH 3-manifold with horizon boundary is eventually smooth. This extends the regularity theorem for a spherical infinity due to Shi-Zhu [52].</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05717-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dirichlet Energy and Focusing NLS Condensates of Minimal Intensity 狄利克雷能量与聚焦最小强度NLS凝析物

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05664-8

Marco Bertola, Alexander Tovbis

{"title":"Dirichlet Energy and Focusing NLS Condensates of Minimal Intensity","authors":"Marco Bertola, Alexander Tovbis","doi":"10.1007/s00220-026-05664-8","DOIUrl":"10.1007/s00220-026-05664-8","url":null,"abstract":"<div>We consider the family of (poly)continua (mathcal {K}) in the upper half-plane ({{mathbb {H}}} ) that contain a preassigned finite anchor set (Ein {mathbb {H}}). For a given harmonic external field we define a Dirichlet energy functional (mathcal {I}(mathcal {K})) and show that within each “connectivity class” of the family, there exists a minimizing compact (mathcal {K}^*) consisting of critical trajectories of a quadratic differential. In many cases this quadratic differential coincides with the square of the real normalized quasimomentum differential ({text {d}}{textbf {p}}) associated with the finite gap solutions of the focusing Nonlinear Schrödinger equation (fNLS) defined by a hyperelliptic Riemann surface (mathfrak {R}) branched at the points (Ecup bar{E}). The motivation for this work lies in the problem of soliton condensate of least average intensity such that a given anchor set E belongs to the poly-continuum (mathcal {K}). An fNLS soliton condensate is defined by a compact (mathcal {K}subset {{mathbb {H}}} ) (its spectral support) whereas the average intensity of the condensate is proportional to (mathcal {I}(mathcal {K})). We prove that the spectral support (mathcal {K}^*) provides the fNLS soliton condensate of the least average intensity within a given “connectivity class”.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Monotonicity of the von Neumann Entropy Under Quantum Convolution 量子卷积下von Neumann熵的单调性

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05703-4

Salman Beigi, Hami Mehrabi

{"title":"Monotonicity of the von Neumann Entropy Under Quantum Convolution","authors":"Salman Beigi, Hami Mehrabi","doi":"10.1007/s00220-026-05703-4","DOIUrl":"10.1007/s00220-026-05703-4","url":null,"abstract":"<div>The quantum entropy power inequality, proven by König and Smith (2012), states that (exp (S(rho boxplus sigma )/m)ge frac{1}{2} (exp (S(rho )/m) + exp (S(sigma )/m))) for two m-mode bosonic quantum states (rho ) and (sigma ). One direct consequence of this inequality is that the sequence (big { S(rho ^{boxplus n}): nge 1 big }) of von Neumann entropies of symmetric convolutions of (rho ) has a monotonically increasing subsequence, namely, (S(rho ^{boxplus 2^{k+1}})ge S(rho ^{boxplus 2^{k}})). In the classical case, it has been shown that the whole sequence of entropies of the normalized sums of i.i.d. random variables is monotonically increasing. Also, it is conjectured by Guha (2008) that the same holds in the quantum setting, and we have (S(rho ^{boxplus n}) ge S(rho ^{boxplus (n-1)})) for any n. In this paper, we resolve this conjecture by establishing this monotonicity. We in fact prove generalizations of the quantum entropy power inequality, enabling us to compare the von Neumann entropy of the n-fold symmetric convolution of n arbitrary states (rho _1, dots , rho _{n}) with the von Neumann entropy of the symmetric convolution of subsets of these quantum states. Additionally, we propose a quantum-classical version of this entropy power inequality, which helps us better understand the behavior of the von Neumann entropy under the convolution action between a quantum state and a classical random variable.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 9","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148652249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Equivariant Isomorphism of Quantum Lens Spaces of Low Dimension 低维量子透镜空间的等变同构

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05709-y

Søren Eilers, Sophie Emma Zegers

引用次数: 0

Quantum (L^p) Inequalities in Thermal States 量子(L^p)热态不等式

IF 2.9 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-08-01 DOI: 10.1007/s00220-026-05678-2

Henning Bostelmann, Daniela Cadamuro, Leonardo Sangaletti

引用次数: 0