A Multi-Layer Extension of the Stochastic Heat Equation

被引：17

作者：

O'Connell, Neil ^{[1
]}

Warren, Jon ^{[2
]}

机构：

[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

[2] Univ Warwick, Dept Stat, Coventry CV4 7AL, W Midlands, England

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2016年 / 341卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

DIMENSIONAL DIRECTED POLYMER; FREE-ENERGY; REGIME;

D O I：

10.1007/s00220-015-2541-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Motivated by recent developments on solvable directed polymer models, we define a 'multi-layer' extension of the stochastic heat equation involving non-intersecting Brownian motions. By developing a connection with Darboux transformations and the two-dimensional Toda equations, we conjecture a Markovian evolution in time for this multi-layer process. As a first step in this direction, we establish an analogue of the Karlin-McGregor formula for the stochastic heat equation and use it to prove a special case of this conjecture.

引用

页码：1 / 33

页数：33

共 50 条

[31] Natural convection heat transfer within multi-layer domes
Laouadi, A
Atif, MR
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2001, 44 (10) : 1973 - 1981
[32] CALCULATION OF HEAT CONDUCTION TRANSFER FUNCTIONS FOR MULTI-LAYER SLABS
STEPHENS.DG
MITALAS, GP
ASHRAE JOURNAL, 1971, 13 (07): : 40 - &
[33] Coupled heat and moisture transfer in multi-layer building materials
Qin, Menghao
Belarbi, Rafik
Ait-Mokhtar, Abdelkarim
Nilson, Lars-Olof
CONSTRUCTION AND BUILDING MATERIALS, 2009, 23 (02) : 967 - 975
[34] Exact Solution of the Multi-layer Skin Bioheat Equation in Cylindrical Coordinates for Thermotherapy with Different Varying Heat Fluxes
Mohamad Hasan Malekmohamadi
Hossein Ahmadikia
Mehdi Mosharaf-Dehkordi
Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 2022, 46 : 1261 - 1273
[35] Fabrication and Characterization of Multi-layer Heat Mirror with Photocatalytic Properties
Tran Le
Tuan Tran
Huu Chi Nguyen
Dac Ngoc Son Luu
Minh Nam Hoang
Dinh Quan Nguyen
CHINESE PHYSICS LETTERS, 2009, 26 (11)
[36] Pinning synchronization control for stochastic multi-layer networks with coupling disturbance
Sun, Shixiang
Ren, Tao
Xu, Yanjie
ISA TRANSACTIONS, 2022, 128 : 450 - 459
[37] Thermophysical parameter estimation of multi-layer walls with stochastic optimization methods
Gori, P.
Bisegna, F.
International Journal of Heat and Technology, 2010, 28 (01) : 109 - 116
[38] On a dual model with multi-layer dividend strategy under stochastic interest
Yin, Jinsheng
EQUIPMENT MANUFACTURING TECHNOLOGY, 2012, 422 : 775 - 778
[39] Multi-layer conductive heat transfer including an infinite medium
Hassid, S
ENERGY AND BUILDINGS, 2002, 34 (03) : 267 - 272
[40] Optimization and Numerical Simulation of Multi-layer Microchannel Heat Sink
Shao, Baodong
Wang, Lifeng
Cheng, Heming
Li, Jianyun
INTERNATIONAL CONFERENCE ON ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, 2012, 31 : 928 - 933

← 1 2 3 4 5 →