Onsager relation with the "slow" degrees of the field in the white noise equation based on stochastic limit

被引：29

作者：

Accardi, L ^{[1
]}

Imafuku, K ^{[1
]}

Lu, YG ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Ctr Vito Volterra, I-00133 Rome, Italy

来源：

FUNDAMENTAL ASPECTS OF QUANTUM PHYSICS | 2003年 / 17卷

关键词：

D O I：

10.1142/9789812704412_0001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Stimulated by the many works on the non-equilibrium physics, we apply a novel technique of stochastic limit which enables us to deal degrees of the freedom of the field, to simple examples and show that the relevant definition of the current with the degrees of the fields, which holds Onsager's reciprocal relation, is possible.

引用

页码：1 / 23

页数：23

共 50 条

[41] The fractional stochastic heat equation driven by time-space white noise
Moulay Hachemi R.Y.
Øksendal B.
Fractional Calculus and Applied Analysis, 2023, 26 (2) : 513 - 532
[42] Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit
Luo, Dejun
Zhu, Rongchan
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 140 : 236 - 286
[43] THE MEAN FIELD LIMIT OF STOCHASTIC DIFFERENTIAL EQUATION SYSTEMS MODELING GRID CELLS
Carrillo, Jose A.
Clini, Andrea
Solem, Susanne
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 55 (04) : 3602 - 3634
[44] Analysis of phase noise in oscillators based on nonlinear stochastic equation
Lin, Weiran
Lai, Jinmei
Zhang, Qianling
Ren, Junyan
Omar, Wing
Guti Dianzixue Yanjiu Yu Jinzhan/Research and Progress of Solid State Electronics, 2004, 24 (01): : 86 - 91
[45] Stochastic Landau?Ginzburg equation with white-noise boundary conditions of Robin type
Kaikina, E., I
NONLINEARITY, 2019, 32 (12) : 4967 - 4995
[46] Quadratic covariations for the solution to a stochastic heat equation with space-time white noise
Sun, Xichao
Yan, Litan
Yu, Xianye
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[47] Quadratic covariations for the solution to a stochastic heat equation with space-time white noise
Xichao Sun
Litan Yan
Xianye Yu
Advances in Difference Equations, 2020
[48] Impact of White Noise on the Exact Solutions of the Stochastic Riemann Wave Equation in Quantum Mechanics
Mohammed, Wael W.
Cesarano, Clemente
Rizk, Doaa
Aly, Elkhateeb S.
El-Morshedy, Mahmoud
SYMMETRY-BASEL, 2023, 15 (11):
[49] Dispersive Optical Solitons for Stochastic Fokas-Lenells Equation with Multiplicative White Noise
Zayed, Elsayed M. E.
El-Horbaty, Mahmoud
Alngar, Mohamed E. M.
El-Shater, Mona
ENG, 2022, 3 (04): : 523 - 540
[50] Stochastic complex Ginzburg-Landau equation with space-time white noise
Hoshino, Masato
Inahama, Yuzuru
Naganuma, Nobuaki
ELECTRONIC JOURNAL OF PROBABILITY, 2017, 22

← 1 2 3 4 5 →