FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3200129103> ?p ?o ?g. }

• W3200129103 endingPage "435002" @default.
• W3200129103 startingPage "435002" @default.
• W3200129103 abstract "In this paper, we study the probability distribution of the observable $s = (1/N)sum_{i=N-N'+1}^N x_i$, with $1 leq N' leq N$ and $x_1<x_2<cdots< x_N$ representing the ordered positions of $N$ particles in a $1d$ one-component plasma, i.e., $N$ harmonically confined charges on a line, with pairwise repulsive $1d$ Coulomb interaction $|x_i-x_j|$. This observable represents an example of a truncated linear statistics -- here the center of mass of the $N' = kappa , N$ (with $0 < kappa leq 1$) rightmost particles. It interpolates between the position of the rightmost particle (in the limit $kappa to 0$) and the full center of mass (in the limit $kappa to 1$). We show that, for large $N$, $s$ fluctuates around its mean $langle s rangle$ and the typical fluctuations are Gaussian, of width $O(N^{-3/2})$. The atypical large fluctuations of $s$, for fixed $kappa$, are instead described by a large deviation form ${cal P}_{N, kappa}(s)simeq exp{left[-N^3 phi_kappa(s)right]}$, where the rate function $phi_kappa(s)$ is computed analytically. We show that $phi_{kappa}(s)$ takes different functional forms in five distinct regions in the $(kappa,s)$ plane separated by phase boundaries, thus leading to a rich phase diagram in the $(kappa,s)$ plane. Across all the phase boundaries the rate function $phi(kappa,s)$ undergoes a third-order phase transition. This rate function is also evaluated numerically using a sophisticated importance sampling method, and we find a perfect agreement with our analytical predictions." @default.
• W3200129103 created "2021-09-27" @default.
• W3200129103 creator A5012513905 @default.
• W3200129103 creator A5047748977 @default.
• W3200129103 creator A5051457331 @default.
• W3200129103 date "2021-10-05" @default.
• W3200129103 modified "2023-10-15" @default.
• W3200129103 title "Truncated linear statistics in the one dimensional one-component plasma" @default.
• W3200129103 cites W1526393338 @default.
• W3200129103 cites W1796092056 @default.
• W3200129103 cites W2000538111 @default.
• W3200129103 cites W2016277170 @default.
• W3200129103 cites W2040444915 @default.
• W3200129103 cites W2049587182 @default.
• W3200129103 cites W2059039626 @default.
• W3200129103 cites W2094075998 @default.
• W3200129103 cites W2108724037 @default.
• W3200129103 cites W2166962541 @default.
• W3200129103 cites W2212801653 @default.
• W3200129103 cites W2524500890 @default.
• W3200129103 cites W2610484685 @default.
• W3200129103 cites W2769971028 @default.
• W3200129103 cites W2889286337 @default.
• W3200129103 cites W2963184134 @default.
• W3200129103 cites W2963890497 @default.
• W3200129103 cites W3000008620 @default.
• W3200129103 cites W3098243572 @default.
• W3200129103 cites W3098998195 @default.
• W3200129103 cites W3101789670 @default.
• W3200129103 cites W3102429282 @default.
• W3200129103 cites W3102636486 @default.
• W3200129103 cites W3103585784 @default.
• W3200129103 cites W3104778801 @default.
• W3200129103 cites W3105258829 @default.
• W3200129103 cites W3106207050 @default.
• W3200129103 cites W3106331970 @default.
• W3200129103 cites W3134200400 @default.
• W3200129103 doi "https://doi.org/10.1088/1751-8121/ac2599" @default.
• W3200129103 hasPublicationYear "2021" @default.
• W3200129103 type Work @default.
• W3200129103 sameAs 3200129103 @default.
• W3200129103 citedByCount "8" @default.
• W3200129103 countsByYear W32001291032021 @default.
• W3200129103 countsByYear W32001291032022 @default.
• W3200129103 countsByYear W32001291032023 @default.
• W3200129103 crossrefType "journal-article" @default.
• W3200129103 hasAuthorship W3200129103A5012513905 @default.
• W3200129103 hasAuthorship W3200129103A5047748977 @default.
• W3200129103 hasAuthorship W3200129103A5051457331 @default.
• W3200129103 hasBestOaLocation W32001291032 @default.
• W3200129103 hasConcept C10138342 @default.
• W3200129103 hasConcept C105795698 @default.
• W3200129103 hasConcept C114614502 @default.
• W3200129103 hasConcept C121332964 @default.
• W3200129103 hasConcept C134306372 @default.
• W3200129103 hasConcept C14036430 @default.
• W3200129103 hasConcept C15964574 @default.
• W3200129103 hasConcept C162324750 @default.
• W3200129103 hasConcept C182306322 @default.
• W3200129103 hasConcept C2524010 @default.
• W3200129103 hasConcept C2778724333 @default.
• W3200129103 hasConcept C32848918 @default.
• W3200129103 hasConcept C33923547 @default.
• W3200129103 hasConcept C37914503 @default.
• W3200129103 hasConcept C62520636 @default.
• W3200129103 hasConcept C75438885 @default.
• W3200129103 hasConcept C78458016 @default.
• W3200129103 hasConcept C86803240 @default.
• W3200129103 hasConceptScore W3200129103C10138342 @default.
• W3200129103 hasConceptScore W3200129103C105795698 @default.
• W3200129103 hasConceptScore W3200129103C114614502 @default.
• W3200129103 hasConceptScore W3200129103C121332964 @default.
• W3200129103 hasConceptScore W3200129103C134306372 @default.
• W3200129103 hasConceptScore W3200129103C14036430 @default.
• W3200129103 hasConceptScore W3200129103C15964574 @default.
• W3200129103 hasConceptScore W3200129103C162324750 @default.
• W3200129103 hasConceptScore W3200129103C182306322 @default.
• W3200129103 hasConceptScore W3200129103C2524010 @default.
• W3200129103 hasConceptScore W3200129103C2778724333 @default.
• W3200129103 hasConceptScore W3200129103C32848918 @default.
• W3200129103 hasConceptScore W3200129103C33923547 @default.
• W3200129103 hasConceptScore W3200129103C37914503 @default.
• W3200129103 hasConceptScore W3200129103C62520636 @default.
• W3200129103 hasConceptScore W3200129103C75438885 @default.
• W3200129103 hasConceptScore W3200129103C78458016 @default.
• W3200129103 hasConceptScore W3200129103C86803240 @default.
• W3200129103 hasIssue "43" @default.
• W3200129103 hasLocation W32001291031 @default.
• W3200129103 hasLocation W32001291032 @default.
• W3200129103 hasLocation W32001291033 @default.
• W3200129103 hasLocation W32001291034 @default.
• W3200129103 hasLocation W32001291035 @default.
• W3200129103 hasOpenAccess W3200129103 @default.
• W3200129103 hasPrimaryLocation W32001291031 @default.
• W3200129103 hasRelatedWork W1994680671 @default.
• W3200129103 hasRelatedWork W2000283393 @default.
• W3200129103 hasRelatedWork W2002320543 @default.
• W3200129103 hasRelatedWork W2061947244 @default.

• next