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Stochastic variational principles for dissipative and conservative systems

Published on Oct 16, 20123892 Views

In the frame of the method of statistical ensembles, relaxation to thermodynamic equilibrium can be efficiently described by using stochastic differential equations. This scheme is intrinsically non-i

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Chapter list

Stochastic variational principles for dissipative and conservative systems00:00
Langevin scheme (1)00:09
Langevin scheme (2)01:06
Extension of the Lagrange principle of classical mechanics01:54
A synthetic description of the two schemes02:31
The variational principle of Nelson Stochastic Mechanics (1)03:07
The variational principle of Nelson Stochastic Mechanics (2)04:14
The variational principle of Nelson Stochastic Mechanics (3)04:50
The variational principle of Nelson Stochastic Mechanics (4)06:02
The variational principle of Nelson Stochastic Mechanics (5)07:11
The variational principle of Nelson Stochastic Mechanics (6)08:29
The variational principle of Nelson Stochastic Mechanics (7)09:25
The variational principle of Nelson Stochastic Mechanics (8)10:15
The variational principle of Nelson Stochastic Mechanics (9)11:13
The variational principle of Nelson Stochastic Mechanics (10)11:52
The variational principle of Nelson Stochastic Mechanics (11)12:35
The variational principle of Nelson Stochastic Mechanics (12)13:24
The variational principle of Nelson Stochastic Mechanics (13)14:42
The variational principle of Nelson Stochastic Mechanics (14)16:45
The variational principle of Nelson Stochastic Mechanics (15)16:47
The variational principle of Nelson Stochastic Mechanics (16)17:41
The variational principle of Nelson Stochastic Mechanics (17)18:43
The variational principle of Nelson Stochastic Mechanics (18)19:18
The variational principle of Nelson Stochastic Mechanics (19)20:14
The variational principle of Nelson Stochastic Mechanics (20)20:46
The variational principle of Nelson Stochastic Mechanics (21)21:50
The variational principle of Nelson Stochastic Mechanics (22)23:08
The variational principle of Nelson Stochastic Mechanics (23)23:20
The variational principle of Nelson Stochastic Mechanics (24)25:42
Fermi statistical theory27:27
Dissipative processes (1)29:10
Dissipative processes (2)29:44
Dissipative processes (3)30:23
Dissipative processes (4)31:30
Dissipative processes (5)31:58
Dissipative processes (6)32:55
Dissipative processes (7)34:06
Dissipative processes (8)34:58
Dissipative processes (9)35:50
Dissipative processes (10)36:13
Dissipative processes (11)36:52
Dissipative processes (12)37:44
Dissipative processes (13)38:15
Local stochastic variational principles (1)38:56
Local stochastic variational principles (2)39:25
Local stochastic variational principles (3)39:41
Local stochastic variational principles (4)40:36
Local stochastic variational principles (5)41:19
Conclusions (1)42:32
Conclusions (2)43:18
Conclusions (3)44:28
Conclusions (4)44:32
Conclusions (5)45:46