Statistical mechanics is a branch of theoretical physics that studies, using probability theory, the average behaviour of a mechanical system made up of a large number of equivalent components where the microscopic realization of the system is uncertain or undefined.
A common use of statistical mechanics is in explaining the thermodynamic behaviour of large systems. This branch of statistical mechanics which treats and extends classical thermodynamics is known as statistical thermodynamics or equilibrium statistical mechanics. Microscopic mechanical laws do not contain concepts such as temperature, heat, or entropy; however, statistical mechanics shows how these concepts arise from the natural uncertainty about the state of a system when that system is prepared in practice. The benefit of using statistical mechanics is that it provides exact methods to connect thermodynamic quantities (such as heat capacity) to microscopic behaviour, whereas in classical thermodynamics the only available option would be to just measure and tabulate such quantities for various materials. Statistical mechanics also makes it possible to extend the laws of thermodynamics to cases which are not considered in classical thermodynamics, such as microscopic systems and other mechanical systems with few degrees of freedom.
(April 1, 2013) Leonard Susskind introduces statistical mechanics as one of the most universal disciplines in modern physics. He begins with a brief review of probability theory, and then presents the concepts of entropy and conservation of information.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
published: 17 Apr 2013
What even is statistical mechanics?
Consider supporting the channel: https://www.youtube.com/channel/UCUanJlIm1l3UpM-OqpN5JQQ/join
Try Audible and get up to two free audiobooks: https://amzn.to/3Torkbc
Hi everyone,
Jonathon Riddell here. Today we motivate the topic of statistical mechanics!
Recommended textbooks:
Quantum mechanics:
https://amzn.to/3Ar5dbn or https://amzn.to/3ckXkfL
Statistical mechanics:
https://amzn.to/3QYcere or https://amzn.to/3cmZb3u
Quantum information:
https://amzn.to/3Kpjt96 or https://amzn.to/3KpjAl2
My publication list: https://scholar.google.com/citations?user=V2UZXZMAAAAJ&hl=en
Instagram: https://www.instagram.com/stat.mech.in.action/
TikTok: https://www.tiktok.com/@stat.mech.in.action?lang=en
Twitter: https://twitter.com/JonathonRiddell
Discord: https://discord.gg/QK9HhuXBEF
published: 05 Mar 2021
Statistical Mechanics Lecture 3
(April 15, 20123) Leonard Susskind begins the derivation of the distribution of energy states that represents maximum entropy in a system at equilibrium.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
published: 07 May 2013
Statistical Mechanics | Entropy and Temperature
In this video I tried to explain how entropy and temperature are related from the point of view of statistical mechanics.
It's the first video I have ever made for Youtube, the audio quality is far from perfect and the animations are what I could put together with the Manim library in the last month, but I hope it can be of help to someone.
This is also my submission to the Summer of math exposition contest by 3Blue1Brown.
0:00 Intro
0:45 Dice intuition
1:54 Two-state particle
4:20 Temperature intuition
5:43 Two interacting systems
7:43 Derivation of temperature
9:03 Entropy and temperature
9:40 Negative temperature
published: 19 Aug 2021
Statistical Mechanics Lecture 2
(April 8, 2013) Leonard Susskind presents the physics of temperature. Temperature is not a fundamental quantity, but is derived as the amount of energy required to add an incremental amount of entropy to a system.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
published: 24 Apr 2013
Statistical Mechanics Lecture 4
(April 23, 2013) Leonard Susskind completes the derivation of the Boltzman distribution of states of a system. This distribution describes a system in equilibrium and with maximum entropy.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
published: 07 May 2013
Introduction to Statistical Physics - University Physics
Link to my Patreon page: patreon.com/PazzyBoardmanPhysicsTutorials
Continuing on from my thermodynamics series, the next step is to introduce statistical physics. This video will cover:
• Introduction
• Microstates of a system
• Permutations and combinations
• Statistical ensembles
• Macrostates of a system
• Determining energy and particle numbers
published: 15 Aug 2019
Statistical Mechanics (Overview)
If we know the energies of the states of a system, statistical mechanics tells us how to predict probabilities that those states will be occupied, and the entropy of the system. This is the crucial link between quantum mechanics (which can tell us the energies) and thermodynamics (which connects energies and entropies to other properties).
published: 26 Jun 2020
Sheep Explains Statistical Mechanics in a Nutshell.
This Video is about Statistical Mechanics in a Nutshell.We will understand what is statistical mechanics and what to Maxwell,Boltzman Fermi,Dirac and bose Einstein have to do with it and will understand it in a Non trivial way by imagining Sheep on a ground .
Do Subscribe and Share! It really Helps me !
Work Mail- [email protected]
wacom One tablet(I use to write with this on screen)
Buy by clicking this link=https://amzn.to/2QZGJhO
Software I use = Smooth draw screen recorder=ZD soft screen
WE also have a big facebook group where people can discuss and study math together!
Link to our facebook group https://www.facebook.com/groups/13507...
like us on our facebook page!=https://www.facebook.com/MathOgenius-...
#mathOgenius
published: 08 Aug 2020
Lecture 1 | Modern Physics: Statistical Mechanics
March 30, 2009 - Leonard Susskind discusses the study of statistical analysis as calculating the probability of things subject to the constraints of a conserved quantity. Susskind introduces energy, entropy, temperature, and phase states as they relate directly to statistical mechanics.
Stanford University:
http://www.stanford.edu/
Stanford Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
(April 1, 2013) Leonard Susskind introduces statistical mechanics as one of the most universal disciplines in modern physics. He begins with a brief review of p...
(April 1, 2013) Leonard Susskind introduces statistical mechanics as one of the most universal disciplines in modern physics. He begins with a brief review of probability theory, and then presents the concepts of entropy and conservation of information.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
(April 1, 2013) Leonard Susskind introduces statistical mechanics as one of the most universal disciplines in modern physics. He begins with a brief review of probability theory, and then presents the concepts of entropy and conservation of information.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
Consider supporting the channel: https://www.youtube.com/channel/UCUanJlIm1l3UpM-OqpN5JQQ/join
Try Audible and get up to two free audiobooks: https://amzn.to/3...
Consider supporting the channel: https://www.youtube.com/channel/UCUanJlIm1l3UpM-OqpN5JQQ/join
Try Audible and get up to two free audiobooks: https://amzn.to/3Torkbc
Hi everyone,
Jonathon Riddell here. Today we motivate the topic of statistical mechanics!
Recommended textbooks:
Quantum mechanics:
https://amzn.to/3Ar5dbn or https://amzn.to/3ckXkfL
Statistical mechanics:
https://amzn.to/3QYcere or https://amzn.to/3cmZb3u
Quantum information:
https://amzn.to/3Kpjt96 or https://amzn.to/3KpjAl2
My publication list: https://scholar.google.com/citations?user=V2UZXZMAAAAJ&hl=en
Instagram: https://www.instagram.com/stat.mech.in.action/
TikTok: https://www.tiktok.com/@stat.mech.in.action?lang=en
Twitter: https://twitter.com/JonathonRiddell
Discord: https://discord.gg/QK9HhuXBEF
Consider supporting the channel: https://www.youtube.com/channel/UCUanJlIm1l3UpM-OqpN5JQQ/join
Try Audible and get up to two free audiobooks: https://amzn.to/3Torkbc
Hi everyone,
Jonathon Riddell here. Today we motivate the topic of statistical mechanics!
Recommended textbooks:
Quantum mechanics:
https://amzn.to/3Ar5dbn or https://amzn.to/3ckXkfL
Statistical mechanics:
https://amzn.to/3QYcere or https://amzn.to/3cmZb3u
Quantum information:
https://amzn.to/3Kpjt96 or https://amzn.to/3KpjAl2
My publication list: https://scholar.google.com/citations?user=V2UZXZMAAAAJ&hl=en
Instagram: https://www.instagram.com/stat.mech.in.action/
TikTok: https://www.tiktok.com/@stat.mech.in.action?lang=en
Twitter: https://twitter.com/JonathonRiddell
Discord: https://discord.gg/QK9HhuXBEF
(April 15, 20123) Leonard Susskind begins the derivation of the distribution of energy states that represents maximum entropy in a system at equilibrium.
Ori...
(April 15, 20123) Leonard Susskind begins the derivation of the distribution of energy states that represents maximum entropy in a system at equilibrium.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
(April 15, 20123) Leonard Susskind begins the derivation of the distribution of energy states that represents maximum entropy in a system at equilibrium.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
In this video I tried to explain how entropy and temperature are related from the point of view of statistical mechanics.
It's the first video I have ever made...
In this video I tried to explain how entropy and temperature are related from the point of view of statistical mechanics.
It's the first video I have ever made for Youtube, the audio quality is far from perfect and the animations are what I could put together with the Manim library in the last month, but I hope it can be of help to someone.
This is also my submission to the Summer of math exposition contest by 3Blue1Brown.
0:00 Intro
0:45 Dice intuition
1:54 Two-state particle
4:20 Temperature intuition
5:43 Two interacting systems
7:43 Derivation of temperature
9:03 Entropy and temperature
9:40 Negative temperature
In this video I tried to explain how entropy and temperature are related from the point of view of statistical mechanics.
It's the first video I have ever made for Youtube, the audio quality is far from perfect and the animations are what I could put together with the Manim library in the last month, but I hope it can be of help to someone.
This is also my submission to the Summer of math exposition contest by 3Blue1Brown.
0:00 Intro
0:45 Dice intuition
1:54 Two-state particle
4:20 Temperature intuition
5:43 Two interacting systems
7:43 Derivation of temperature
9:03 Entropy and temperature
9:40 Negative temperature
(April 8, 2013) Leonard Susskind presents the physics of temperature. Temperature is not a fundamental quantity, but is derived as the amount of energy required...
(April 8, 2013) Leonard Susskind presents the physics of temperature. Temperature is not a fundamental quantity, but is derived as the amount of energy required to add an incremental amount of entropy to a system.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
(April 8, 2013) Leonard Susskind presents the physics of temperature. Temperature is not a fundamental quantity, but is derived as the amount of energy required to add an incremental amount of entropy to a system.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
(April 23, 2013) Leonard Susskind completes the derivation of the Boltzman distribution of states of a system. This distribution describes a system in equilibri...
(April 23, 2013) Leonard Susskind completes the derivation of the Boltzman distribution of states of a system. This distribution describes a system in equilibrium and with maximum entropy.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
(April 23, 2013) Leonard Susskind completes the derivation of the Boltzman distribution of states of a system. This distribution describes a system in equilibrium and with maximum entropy.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
Link to my Patreon page: patreon.com/PazzyBoardmanPhysicsTutorials
Continuing on from my thermodynamics series, the next step is to introduce statistical physi...
Link to my Patreon page: patreon.com/PazzyBoardmanPhysicsTutorials
Continuing on from my thermodynamics series, the next step is to introduce statistical physics. This video will cover:
• Introduction
• Microstates of a system
• Permutations and combinations
• Statistical ensembles
• Macrostates of a system
• Determining energy and particle numbers
Link to my Patreon page: patreon.com/PazzyBoardmanPhysicsTutorials
Continuing on from my thermodynamics series, the next step is to introduce statistical physics. This video will cover:
• Introduction
• Microstates of a system
• Permutations and combinations
• Statistical ensembles
• Macrostates of a system
• Determining energy and particle numbers
If we know the energies of the states of a system, statistical mechanics tells us how to predict probabilities that those states will be occupied, and the entro...
If we know the energies of the states of a system, statistical mechanics tells us how to predict probabilities that those states will be occupied, and the entropy of the system. This is the crucial link between quantum mechanics (which can tell us the energies) and thermodynamics (which connects energies and entropies to other properties).
If we know the energies of the states of a system, statistical mechanics tells us how to predict probabilities that those states will be occupied, and the entropy of the system. This is the crucial link between quantum mechanics (which can tell us the energies) and thermodynamics (which connects energies and entropies to other properties).
This Video is about Statistical Mechanics in a Nutshell.We will understand what is statistical mechanics and what to Maxwell,Boltzman Fermi,Dirac and bose Einst...
This Video is about Statistical Mechanics in a Nutshell.We will understand what is statistical mechanics and what to Maxwell,Boltzman Fermi,Dirac and bose Einstein have to do with it and will understand it in a Non trivial way by imagining Sheep on a ground .
Do Subscribe and Share! It really Helps me !
Work Mail- [email protected]
wacom One tablet(I use to write with this on screen)
Buy by clicking this link=https://amzn.to/2QZGJhO
Software I use = Smooth draw screen recorder=ZD soft screen
WE also have a big facebook group where people can discuss and study math together!
Link to our facebook group https://www.facebook.com/groups/13507...
like us on our facebook page!=https://www.facebook.com/MathOgenius-...
#mathOgenius
This Video is about Statistical Mechanics in a Nutshell.We will understand what is statistical mechanics and what to Maxwell,Boltzman Fermi,Dirac and bose Einstein have to do with it and will understand it in a Non trivial way by imagining Sheep on a ground .
Do Subscribe and Share! It really Helps me !
Work Mail- [email protected]
wacom One tablet(I use to write with this on screen)
Buy by clicking this link=https://amzn.to/2QZGJhO
Software I use = Smooth draw screen recorder=ZD soft screen
WE also have a big facebook group where people can discuss and study math together!
Link to our facebook group https://www.facebook.com/groups/13507...
like us on our facebook page!=https://www.facebook.com/MathOgenius-...
#mathOgenius
March 30, 2009 - Leonard Susskind discusses the study of statistical analysis as calculating the probability of things subject to the constraints of a conserved...
March 30, 2009 - Leonard Susskind discusses the study of statistical analysis as calculating the probability of things subject to the constraints of a conserved quantity. Susskind introduces energy, entropy, temperature, and phase states as they relate directly to statistical mechanics.
Stanford University:
http://www.stanford.edu/
Stanford Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
March 30, 2009 - Leonard Susskind discusses the study of statistical analysis as calculating the probability of things subject to the constraints of a conserved quantity. Susskind introduces energy, entropy, temperature, and phase states as they relate directly to statistical mechanics.
Stanford University:
http://www.stanford.edu/
Stanford Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
(April 1, 2013) Leonard Susskind introduces statistical mechanics as one of the most universal disciplines in modern physics. He begins with a brief review of probability theory, and then presents the concepts of entropy and conservation of information.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
Consider supporting the channel: https://www.youtube.com/channel/UCUanJlIm1l3UpM-OqpN5JQQ/join
Try Audible and get up to two free audiobooks: https://amzn.to/3Torkbc
Hi everyone,
Jonathon Riddell here. Today we motivate the topic of statistical mechanics!
Recommended textbooks:
Quantum mechanics:
https://amzn.to/3Ar5dbn or https://amzn.to/3ckXkfL
Statistical mechanics:
https://amzn.to/3QYcere or https://amzn.to/3cmZb3u
Quantum information:
https://amzn.to/3Kpjt96 or https://amzn.to/3KpjAl2
My publication list: https://scholar.google.com/citations?user=V2UZXZMAAAAJ&hl=en
Instagram: https://www.instagram.com/stat.mech.in.action/
TikTok: https://www.tiktok.com/@stat.mech.in.action?lang=en
Twitter: https://twitter.com/JonathonRiddell
Discord: https://discord.gg/QK9HhuXBEF
(April 15, 20123) Leonard Susskind begins the derivation of the distribution of energy states that represents maximum entropy in a system at equilibrium.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
In this video I tried to explain how entropy and temperature are related from the point of view of statistical mechanics.
It's the first video I have ever made for Youtube, the audio quality is far from perfect and the animations are what I could put together with the Manim library in the last month, but I hope it can be of help to someone.
This is also my submission to the Summer of math exposition contest by 3Blue1Brown.
0:00 Intro
0:45 Dice intuition
1:54 Two-state particle
4:20 Temperature intuition
5:43 Two interacting systems
7:43 Derivation of temperature
9:03 Entropy and temperature
9:40 Negative temperature
(April 8, 2013) Leonard Susskind presents the physics of temperature. Temperature is not a fundamental quantity, but is derived as the amount of energy required to add an incremental amount of entropy to a system.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
(April 23, 2013) Leonard Susskind completes the derivation of the Boltzman distribution of states of a system. This distribution describes a system in equilibrium and with maximum entropy.
Originally presented in the Stanford Continuing Studies Program.
Stanford University:
http://www.stanford.edu/
Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
Link to my Patreon page: patreon.com/PazzyBoardmanPhysicsTutorials
Continuing on from my thermodynamics series, the next step is to introduce statistical physics. This video will cover:
• Introduction
• Microstates of a system
• Permutations and combinations
• Statistical ensembles
• Macrostates of a system
• Determining energy and particle numbers
If we know the energies of the states of a system, statistical mechanics tells us how to predict probabilities that those states will be occupied, and the entropy of the system. This is the crucial link between quantum mechanics (which can tell us the energies) and thermodynamics (which connects energies and entropies to other properties).
This Video is about Statistical Mechanics in a Nutshell.We will understand what is statistical mechanics and what to Maxwell,Boltzman Fermi,Dirac and bose Einstein have to do with it and will understand it in a Non trivial way by imagining Sheep on a ground .
Do Subscribe and Share! It really Helps me !
Work Mail- [email protected]
wacom One tablet(I use to write with this on screen)
Buy by clicking this link=https://amzn.to/2QZGJhO
Software I use = Smooth draw screen recorder=ZD soft screen
WE also have a big facebook group where people can discuss and study math together!
Link to our facebook group https://www.facebook.com/groups/13507...
like us on our facebook page!=https://www.facebook.com/MathOgenius-...
#mathOgenius
March 30, 2009 - Leonard Susskind discusses the study of statistical analysis as calculating the probability of things subject to the constraints of a conserved quantity. Susskind introduces energy, entropy, temperature, and phase states as they relate directly to statistical mechanics.
Stanford University:
http://www.stanford.edu/
Stanford Continuing Studies Program:
http://csp.stanford.edu/
Stanford University Channel on YouTube:
http://www.youtube.com/stanford
Statistical mechanics is a branch of theoretical physics that studies, using probability theory, the average behaviour of a mechanical system made up of a large number of equivalent components where the microscopic realization of the system is uncertain or undefined.
A common use of statistical mechanics is in explaining the thermodynamic behaviour of large systems. This branch of statistical mechanics which treats and extends classical thermodynamics is known as statistical thermodynamics or equilibrium statistical mechanics. Microscopic mechanical laws do not contain concepts such as temperature, heat, or entropy; however, statistical mechanics shows how these concepts arise from the natural uncertainty about the state of a system when that system is prepared in practice. The benefit of using statistical mechanics is that it provides exact methods to connect thermodynamic quantities (such as heat capacity) to microscopic behaviour, whereas in classical thermodynamics the only available option would be to just measure and tabulate such quantities for various materials. Statistical mechanics also makes it possible to extend the laws of thermodynamics to cases which are not considered in classical thermodynamics, such as microscopic systems and other mechanical systems with few degrees of freedom.