Causality and classical dispersion relations

被引：12

作者：

Hoult, Raphael E. ^{[1
]}

Kovtun, Pavel ^{[1
]}

机构：

[1] Univ Victoria, Dept Phys & Astron, POB 1700 STN CSC, Victoria, BC V8W 2Y2, Canada

来源：

PHYSICAL REVIEW D | 2024年 / 109卷 / 04期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1103/PhysRevD.109.046018

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We explore the consequences of relativistic causality and covariant stability for short -wavelength dispersion relations in classical systems. For excitations described by a finite number of partial differential equations, as is the case in relativistic hydrodynamics, we give causality and covariant stability constraints on the excitation's frequency at large momenta.

引用

页数：10

共 50 条

[41] Classical dispersion theory
Peiponen, KE
Vartiainen, EM
Asakura, T
DISPERSION, COMPLEX ANALYSIS AND OPTICAL SPECTROSCOPY, 1999, 147 : 1 - 15
[42] Granular Causality Applications: Using Part-of Relations for Discovering Causality
Mulkar-Mehta, Rutu
INTERNATIONAL JOURNAL OF COGNITIVE INFORMATICS AND NATURAL INTELLIGENCE, 2012, 6 (03) : 88 - 108
[43] Functional relations and causality in Fechner and Mach
Heidelberger, Michael
PHILOSOPHICAL PSYCHOLOGY, 2010, 23 (02) : 163 - 172
[44] ON THE REDUCTION OF PROCESS CAUSALITY TO STATISTICAL RELATIONS
DOWE, P
BRITISH JOURNAL FOR THE PHILOSOPHY OF SCIENCE, 1993, 44 (02): : 325 - 327
[45] NONANALYTIC DISPERSION-RELATIONS IN CLASSICAL FLUIDS .1. HARD-SPHERE GAS
ERNST, MH
DORFMAN, JR
PHYSICA, 1972, 61 (02): : 157 - &
[46] RESOLUTION OF CAUSALITY VIOLATION IN THE CLASSICAL RADIATION REACTION
VALENTINI, A
PHYSICAL REVIEW LETTERS, 1988, 61 (17) : 1903 - 1905
[47] Limits to causality and delocalization in classical field theory
Petrosky, T
Prigogine, I
EVOLUTION EQUATIONS AND THEIR APPLICATIONS IN PHYSICAL AND LIFE SCIENCES, 2001, 215 : 405 - 411
[48] Causality in quantum field theory with classical sources
Skagerstam, Bo-Sture K.
Eriksson, Karl-Erik
Rekdal, Per K.
JOURNAL OF PHYSICS COMMUNICATIONS, 2019, 3 (08):
[49] Causality and the complete positivity of classical polarization maps
Gamel, Omar
James, Daniel F. V.
OPTICS LETTERS, 2011, 36 (15) : 2821 - 2823
[50] The superluminal limit as a consequence of the classical causality principle
Cutolo, A.
EUROPEAN PHYSICAL JOURNAL PLUS, 2012, 127 (01): : 1 - 5

← 1 2 3 4 5 →