有哪些信誉好的足球投注网站- 1、本文档共5页，可阅读全部内容。
- 2、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。
- 3、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击 这里二次下载。
- 4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。
查看更多
The Backwards Arrow of Time of the Coherently Bayesian Statistical Mechanic
a
r
X
i
v
:
c
o
n
d
-
m
a
t
/
0
4
1
0
0
6
3
v
2
[
c
o
n
d
-
m
a
t
.s
t
a
t
-
m
e
c
h
]
8
N
o
v
2
0
0
4
The Backwards Arrow of Time of the Coherently Bayesian Statistical Mechanic
Cosma Rohilla Shalizi
Center for the Study of Complex Systems, 4485 Randall Laboratory,
University of Michigan, Ann Arbor, MI 48109 USA?
Many physicists think that the maximum entropy formalism is a straightforward application of
Bayesian statistical ideas to statistical mechanics. Some even say that statistical mechanics is just
the general Bayesian logic of inductive inference applied to large mechanical systems. This approach
identifies thermodynamic entropy with the information-theoretic uncertainty of an (ideal) observer’s
subjective distribution over a system’s microstates. In this brief note, I show that this postulate, plus
the standard Bayesian procedure for updating probabilities, implies that the entropy of a classical
system is monotonically non-increasing on the average — the Bayesian statistical mechanic’s arrow of
time points backwards. Avoiding this unphysical conclusion requires rejecting the ordinary equations
of motion, or practicing an incoherent form of statistical inference, or rejecting the identification of
uncertainty and thermodynamic entropy.
PACS numbers: 05.20.-y,02.50.Tt,05.70.Ln,89.70.+c
Keywords: Arrow of time; Bayesian statistics; Koopman operator; maximum entropy principle
Recent years have seen renewed interest in connections
between physics and statistics [1]. Of particular inter-
est, naturally, has been the connection between statisti-
cal mechanics and statistical inference. The subjectivist
approach to statistical mechanics, ably advocated in re-
cent times by Jaynes [2] and his school, holds that prob-
abilities represent degrees of belief; specifically, the prob-
ability of a microstate is the degree to which an ideal
observer should believe the system is in that state, given
the evidence available, and the entropy of the system
is that obse
您可能关注的文档
- sensitivity calculation.pdf
- Separation-Sensitive Collision Detection for Convex Objects.pdf
- Serial-ATA IDE Card.pdf
- Serulian Final Project Description Project Name Serulian.pdf
- ServerSocket用法详解.pdf
- Setup Smith V3.10.pdf
- Severe Sepsis and Septic Shock.pdf
- SFPE smoke filling.pdf
- SGM41000YXDT REV.A_20160919.pdf
- Shadow puppet plays.ppt
文档评论（0）