4 minor clarification
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I am not sure that the video referred to in your question is a good basis for discussion here, since the microscopic rules are not given, and may not fall into the category of mainstream physics. If energy is being taken out of the system, and if there is an attractive interaction between the particles, it is not surprising to see them form a condensed phase, perhaps a solid. This does not contradict the basic idea of entropy. This is what happens in better-defined systems in physics, when the temperature is lowered and a substance crystallizes. (The change in the energy of the system is reflected in the increase in the entropy of the surroundings). But I'm not really sure what that video is showing, from the physics viewpoint.

However, the two links you mentioned in your comments are based in mainstream physics and it is possible that a bit more explanation here will help you. The "Entropy confusion - sixty symbols" video is trying to clear up a popular misconception that entropy is always associated with an obvious, visible, disorder in the system. It refers to the well-known example of hard spheres. In this model there are no attractions. The thermodynamics is based entirely on entropy. Nonetheless, if you reduce the volume of the system, at a certain point it forms a regular crystal. The fact is that the entropy of the crystalline solid is larger than the entropy of a random arrangement of hard spheres would be at the same density. (This was established maybe 60 years ago). Nonetheless, if you looked at a video of the process, you might argue that the solid is more ordered, just as you are trying to argue on the basis of the video that you are citing. The simplest explanation is that each hard sphere particle has more local space to explore around its crystal lattice position, than it would in a random arrangement, where the spheres get more jammed by their neighbours. The extra entropy (larger number of microstates) associated with this local freedom more than compensates for the loss in entropy associated with adopting a regular crystalline arrangement. Casually looking at the pictures, you might only see the regularity of the crystal, and miss the implications of the extra free volume.

Over the last decade or more Sharon Glotzer's group (the second link you mention in your comments) has done some fine work on computer simulation of hard particle systems, but where the particles are not spheres (instead, typically, they are polyhedra of various shapes). Again, entropy is the sole driving force. Many, more complicated, solid phases can be formed than in the case of spheres. Again, there is no paradox. The articles that she has written, and interviews she has given, to popularize these phenomena are attempts to explain the nature of entropy as a feature of physical systems, and no doubt beyond physics too. Science writers love to write about entropy in connection with apparently paradoxical things. The thing that confuses some people is that entropy is not always associated with a superficial picture of "order", as might be seen in an image or a video.

I am not sure that the video referred to in your question is a good basis for discussion here, since the microscopic rules are not given, and may not fall into the category of mainstream physics. If energy is being taken out of the system, and if there is an attractive interaction between the particles, it is not surprising to see them form a condensed phase, perhaps a solid. This does not contradict the basic idea of entropy. This is what happens in better-defined systems in physics, when the temperature is lowered and a substance crystallizes. But I'm not really sure what that video is showing, from the physics viewpoint.

However, the two links you mentioned in your comments are based in mainstream physics and it is possible that a bit more explanation here will help you. The "Entropy confusion - sixty symbols" video is trying to clear up a popular misconception that entropy is always associated with an obvious, visible, disorder in the system. It refers to the well-known example of hard spheres. In this model there are no attractions. The thermodynamics is based entirely on entropy. Nonetheless, if you reduce the volume of the system, at a certain point it forms a regular crystal. The fact is that the entropy of the crystalline solid is larger than the entropy of a random arrangement of hard spheres would be at the same density. (This was established maybe 60 years ago). Nonetheless, if you looked at a video of the process, you might argue that the solid is more ordered, just as you are trying to argue on the basis of the video that you are citing. The simplest explanation is that each hard sphere particle has more local space to explore around its crystal lattice position, than it would in a random arrangement, where the spheres get more jammed by their neighbours. The extra entropy (larger number of microstates) associated with this local freedom more than compensates for the loss in entropy associated with adopting a regular crystalline arrangement. Casually looking at the pictures, you might only see the regularity of the crystal, and miss the implications of the extra free volume.

Over the last decade or more Sharon Glotzer's group (the second link you mention in your comments) has done some fine work on computer simulation of hard particle systems, but where the particles are not spheres (instead, typically, they are polyhedra of various shapes). Again, entropy is the sole driving force. Many, more complicated, solid phases can be formed than in the case of spheres. Again, there is no paradox. The articles that she has written, and interviews she has given, to popularize these phenomena are attempts to explain the nature of entropy as a feature of physical systems, and no doubt beyond physics too. Science writers love to write about entropy in connection with apparently paradoxical things. The thing that confuses some people is that entropy is not always associated with a superficial picture of "order", as might be seen in an image or a video.

I am not sure that the video referred to in your question is a good basis for discussion here, since the microscopic rules are not given, and may not fall into the category of mainstream physics. If energy is being taken out of the system, and if there is an attractive interaction between the particles, it is not surprising to see them form a condensed phase, perhaps a solid. This does not contradict the basic idea of entropy. This is what happens in better-defined systems in physics, when the temperature is lowered and a substance crystallizes. (The change in the energy of the system is reflected in the increase in the entropy of the surroundings). But I'm not really sure what that video is showing, from the physics viewpoint.

However, the two links you mentioned in your comments are based in mainstream physics and it is possible that a bit more explanation here will help you. The "Entropy confusion - sixty symbols" video is trying to clear up a popular misconception that entropy is always associated with an obvious, visible, disorder in the system. It refers to the well-known example of hard spheres. In this model there are no attractions. The thermodynamics is based entirely on entropy. Nonetheless, if you reduce the volume of the system, at a certain point it forms a regular crystal. The fact is that the entropy of the crystalline solid is larger than the entropy of a random arrangement of hard spheres would be at the same density. (This was established maybe 60 years ago). Nonetheless, if you looked at a video of the process, you might argue that the solid is more ordered, just as you are trying to argue on the basis of the video that you are citing. The simplest explanation is that each hard sphere particle has more local space to explore around its crystal lattice position, than it would in a random arrangement, where the spheres get more jammed by their neighbours. The extra entropy (larger number of microstates) associated with this local freedom more than compensates for the loss in entropy associated with adopting a regular crystalline arrangement. Casually looking at the pictures, you might only see the regularity of the crystal, and miss the implications of the extra free volume.

Over the last decade or more Sharon Glotzer's group (the second link you mention in your comments) has done some fine work on computer simulation of hard particle systems, but where the particles are not spheres (instead, typically, they are polyhedra of various shapes). Again, entropy is the sole driving force. Many, more complicated, solid phases can be formed than in the case of spheres. Again, there is no paradox. The articles that she has written, and interviews she has given, to popularize these phenomena are attempts to explain the nature of entropy as a feature of physical systems, and no doubt beyond physics too. Science writers love to write about entropy in connection with apparently paradoxical things. The thing that confuses some people is that entropy is not always associated with a superficial picture of "order", as might be seen in an image or a video.

3 minor clarification
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I am not sure that the video referred to in your question is a good basis for discussion here, since the microscopic rules are not given, and may not fall into the category of mainstream physics. If energy is being taken out of the system, and if there is an attractive interaction between the particles, it is not surprising to see them form a condensed phase, perhaps a solid. This does not contradict the basic idea of entropy. This is what happens in better-defined systems in physics, when the temperature is lowered and a substance crystallizes. But I'm not really sure what that video is showing, from the physics viewpoint.

However, the two videoslinks you mentioned in your comments are based in mainstream physics and it is possible that a bit more explanation here will help you. The "Entropy confusion - sixty symbols" video is trying to clear up a popular misconception that entropy is always associated with an obvious, visible, disorder in the system. It refers to the well-known example of hard spheres. In this model there are no attractions. The thermodynamics is based entirely on entropy. Nonetheless, if you reduce the volume of the system, at a certain point it forms a regular crystal. The fact is that the entropy of the crystalline solid is larger than the entropy of a random arrangement of hard spheres would be at the same density. (This was established maybe 60 years ago). Nonetheless, if you looked at a video of the process, you might argue that the solid is more ordered, just as you are trying to argue on the basis of the videosvideo that you are citing. The simplest explanation is that each hard sphere particle has more local space to explore around its crystal lattice position, than it would in a random arrangement, where the spheres get more jammed by their neighbours. The extra entropy (larger number of microstates) associated with this local freedom more than compensates for the loss in entropy associated with adopting a regular crystalline arrangement. Casually looking at the pictures, you might only see the regularity of the crystal, and miss the implications of the extra free volume.

Over the last decade or more Sharon Glotzer's group (the second videolink you mention in your comments) has done some fine work on computer simulation of hard particle systems, but where the particles are not spheres (instead, typically, they are polyhedra of various shapes). Again, entropy is the sole driving force. Many, more complicated, solid phases can be formed than in the case of spheres. Again, there is no paradox. The articles that she has written, and interviews she has given, to popularize these phenomena are attempts to explain the nature of entropy as a feature of physical systems, and no doubt beyond physics too. Science writers love to write about entropy in connection with apparently paradoxical things. The thing that confuses some people is that entropy is not always associated with a superficial picture of "order", as might be seen in an image or a video.

I am not sure that the video referred to in your question is a good basis for discussion here, since the microscopic rules are not given, and may not fall into the category of mainstream physics. If energy is being taken out of the system, and if there is an attractive interaction between the particles, it is not surprising to see them form a condensed phase, perhaps a solid. This does not contradict the basic idea of entropy. This is what happens in better-defined systems in physics, when the temperature is lowered and a substance crystallizes.

However, the two videos you mentioned in your comments are based in mainstream physics and it is possible that a bit more explanation here will help you. The "Entropy confusion - sixty symbols" video is trying to clear up a popular misconception that entropy is always associated with an obvious, visible, disorder in the system. It refers to the well-known example of hard spheres. In this model there are no attractions. The thermodynamics is based entirely on entropy. Nonetheless, if you reduce the volume of the system, at a certain point it forms a regular crystal. The fact is that the entropy of the crystalline solid is larger than the entropy of a random arrangement of hard spheres would be at the same density. (This was established maybe 60 years ago). Nonetheless, if you looked at a video of the process, you might argue that the solid is more ordered, just as you are trying to argue on the basis of the videos that you are citing. The simplest explanation is that each hard sphere particle has more local space to explore around its crystal lattice position, than it would in a random arrangement, where the spheres get more jammed by their neighbours. The extra entropy (larger number of microstates) associated with this local freedom more than compensates for the loss in entropy associated with adopting a regular crystalline arrangement. Casually looking at the pictures, you might only see the regularity of the crystal, and miss the implications of the extra free volume.

Over the last decade or more Sharon Glotzer's group (the second video you mention in your comments) has done some fine work on computer simulation of hard particle systems, but where the particles are not spheres (instead, typically, they are polyhedra of various shapes). Again, entropy is the sole driving force. Many, more complicated, solid phases can be formed than in the case of spheres. Again, there is no paradox. The articles that she has written, and interviews she has given, to popularize these phenomena are attempts to explain the nature of entropy as a feature of physical systems, and no doubt beyond physics too. Science writers love to write about entropy in connection with apparently paradoxical things. The thing that confuses some people is that entropy is not always associated with a superficial picture of "order", as might be seen in an image or a video.

I am not sure that the video referred to in your question is a good basis for discussion here, since the microscopic rules are not given, and may not fall into the category of mainstream physics. If energy is being taken out of the system, and if there is an attractive interaction between the particles, it is not surprising to see them form a condensed phase, perhaps a solid. This does not contradict the basic idea of entropy. This is what happens in better-defined systems in physics, when the temperature is lowered and a substance crystallizes. But I'm not really sure what that video is showing, from the physics viewpoint.

However, the two links you mentioned in your comments are based in mainstream physics and it is possible that a bit more explanation here will help you. The "Entropy confusion - sixty symbols" video is trying to clear up a popular misconception that entropy is always associated with an obvious, visible, disorder in the system. It refers to the well-known example of hard spheres. In this model there are no attractions. The thermodynamics is based entirely on entropy. Nonetheless, if you reduce the volume of the system, at a certain point it forms a regular crystal. The fact is that the entropy of the crystalline solid is larger than the entropy of a random arrangement of hard spheres would be at the same density. (This was established maybe 60 years ago). Nonetheless, if you looked at a video of the process, you might argue that the solid is more ordered, just as you are trying to argue on the basis of the video that you are citing. The simplest explanation is that each hard sphere particle has more local space to explore around its crystal lattice position, than it would in a random arrangement, where the spheres get more jammed by their neighbours. The extra entropy (larger number of microstates) associated with this local freedom more than compensates for the loss in entropy associated with adopting a regular crystalline arrangement. Casually looking at the pictures, you might only see the regularity of the crystal, and miss the implications of the extra free volume.

Over the last decade or more Sharon Glotzer's group (the second link you mention in your comments) has done some fine work on computer simulation of hard particle systems, but where the particles are not spheres (instead, typically, they are polyhedra of various shapes). Again, entropy is the sole driving force. Many, more complicated, solid phases can be formed than in the case of spheres. Again, there is no paradox. The articles that she has written, and interviews she has given, to popularize these phenomena are attempts to explain the nature of entropy as a feature of physical systems, and no doubt beyond physics too. Science writers love to write about entropy in connection with apparently paradoxical things. The thing that confuses some people is that entropy is not always associated with a superficial picture of "order", as might be seen in an image or a video.

2 minor clarification
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I am not sure that the video referred to in your question is a good basis for discussion here, since the microscopic rules are not given, and may not fall into the category of mainstream physics. If energy is being taken out of the system, and if there is an attractive interaction between the particles, it is not surprising to see them form a condensed phase, perhaps a solid. This does not contradict the basic idea of entropy. This is what happens in better-defined systems in physics, when the temperature is lowered and a substance crystallizes.

However, the two videos you mentioned in your comments are based in mainstream physics and it is possible that a bit more explanation here will help you. The "Entropy confusion - sixty symbols" video is trying to clear up a popular misconception that entropy is always associated with an obvious, visible, disorder in the system. It refers to the well-known example of hard spheres. In this model there are no attractions. The thermodynamics is based entirely on entropy. Nonetheless, if you reduce the volume of the system, at a certain point it forms a regular crystal. The fact is that the entropy of the crystalline solid is larger than the entropy of a random arrangement of hard spheres would be at the same density. (This was established maybe 60 years ago). Nonetheless, if you looked at a video of the process, you might argue that the solid is more ordered, just as you are trying to argue on the basis of the videos that you are citing. The simplest explanation is that each hard sphere particle has more local space to explore around its crystal lattice position, than it would in a random arrangement, where the spheres get more jammed by their neighbours. The extra entropy (larger number of microstates) associated with this local freedom more than compensates for the loss in entropy associated with adopting a regular crystalline arrangement. Casually looking at the pictures, you might only see the regularity of the crystal, and miss the implications of the extra free volume.

Over the last decade or more Sharon Glotzer's group (the second video you mention in your comments) has done some fine work on computer simulation of hard particle systems, but where the particles are not spheres (instead, typically, they are polyhedra of various shapes). Again, entropy is the sole driving force. Many, more complicated, solid phases can be formed than in the case of spheres. Again, there is no paradox. The articles that she has written, and interviews she has given, to popularize these phenomena are attempts to explain the nature of entropy as a feature of physical systems, and no doubt beyond physics too. Science writers love to write about entropy in connection with apparently paradoxical things. The thing that confuses some people is that entropy is not always associated with a superficial picture of "order", as might be seen in an image or a video.

I am not sure that the video referred to in your question is a good basis for discussion here, since the microscopic rules are not given, and may not fall into the category of mainstream physics. If energy is being taken out of the system, and if there is an attractive interaction between the particles, it is not surprising to see them form a condensed phase, perhaps a solid. This does not contradict the basic idea of entropy. This is what happens in better-defined systems in physics, when the temperature is lowered and a substance crystallizes.

However, the two videos you mentioned in your comments are based in mainstream physics and it is possible that a bit more explanation here will help you. The "Entropy confusion - sixty symbols" video is trying to clear up a popular misconception that entropy is always associated with an obvious, visible, disorder in the system. It refers to the well-known example of hard spheres. In this model there are no attractions. The thermodynamics is based entirely on entropy. Nonetheless, if you reduce the volume of the system, at a certain point it forms a regular crystal. The fact is that the entropy of the crystalline solid is larger than the entropy of a random arrangement of hard spheres would be at the same density. (This was established maybe 60 years ago). Nonetheless, if you looked at a video of the process, you might argue that the solid is more ordered, just as you are trying to argue on the basis of the videos that you are citing. The simplest explanation is that each hard sphere particle has more local space to explore around its crystal lattice position, than it would in a random arrangement, where the spheres get more jammed by their neighbours. The extra entropy associated with this local freedom more than compensates for the loss in entropy associated with adopting a regular crystalline arrangement. Casually looking at the pictures, you might only see the regularity of the crystal, and miss the implications of the extra free volume.

Over the last decade or more Sharon Glotzer's group (the second video you mention in your comments) has done some fine work on computer simulation of hard particle systems, but where the particles are not spheres (instead, typically, they are polyhedra of various shapes). Again, entropy is the sole driving force. Many, more complicated, solid phases can be formed than in the case of spheres. Again, there is no paradox. The articles that she has written to popularize these phenomena are attempts to explain the nature of entropy as a feature of physical systems, and no doubt beyond physics too. Science writers love to write about entropy in connection with apparently paradoxical things. The thing that confuses some people is that entropy is not always associated with a superficial picture of "order", as might be seen in an image or a video.

I am not sure that the video referred to in your question is a good basis for discussion here, since the microscopic rules are not given, and may not fall into the category of mainstream physics. If energy is being taken out of the system, and if there is an attractive interaction between the particles, it is not surprising to see them form a condensed phase, perhaps a solid. This does not contradict the basic idea of entropy. This is what happens in better-defined systems in physics, when the temperature is lowered and a substance crystallizes.

However, the two videos you mentioned in your comments are based in mainstream physics and it is possible that a bit more explanation here will help you. The "Entropy confusion - sixty symbols" video is trying to clear up a popular misconception that entropy is always associated with an obvious, visible, disorder in the system. It refers to the well-known example of hard spheres. In this model there are no attractions. The thermodynamics is based entirely on entropy. Nonetheless, if you reduce the volume of the system, at a certain point it forms a regular crystal. The fact is that the entropy of the crystalline solid is larger than the entropy of a random arrangement of hard spheres would be at the same density. (This was established maybe 60 years ago). Nonetheless, if you looked at a video of the process, you might argue that the solid is more ordered, just as you are trying to argue on the basis of the videos that you are citing. The simplest explanation is that each hard sphere particle has more local space to explore around its crystal lattice position, than it would in a random arrangement, where the spheres get more jammed by their neighbours. The extra entropy (larger number of microstates) associated with this local freedom more than compensates for the loss in entropy associated with adopting a regular crystalline arrangement. Casually looking at the pictures, you might only see the regularity of the crystal, and miss the implications of the extra free volume.

Over the last decade or more Sharon Glotzer's group (the second video you mention in your comments) has done some fine work on computer simulation of hard particle systems, but where the particles are not spheres (instead, typically, they are polyhedra of various shapes). Again, entropy is the sole driving force. Many, more complicated, solid phases can be formed than in the case of spheres. Again, there is no paradox. The articles that she has written, and interviews she has given, to popularize these phenomena are attempts to explain the nature of entropy as a feature of physical systems, and no doubt beyond physics too. Science writers love to write about entropy in connection with apparently paradoxical things. The thing that confuses some people is that entropy is not always associated with a superficial picture of "order", as might be seen in an image or a video.

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