All Questions
Tagged with complex-systems thermodynamics
16 questions
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Given an infinite amount of time, will every possible combination of matter pop into existence?
Apparently it is true that when the universe is in the state of heat death, quantum fluctuations will eventually produce every combination of matter, no matter how unlikely, given an infinite amount ...
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How are far from equilibrium systems studied analytically?
I've read about stuff having to do with complex systems where some pretty wacky stuff happens, mostly involving "phase changes", which as I understand don't really have much to do with ...
- 93
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Why is the brain so "efficient"? [closed]
By efficient I mean, that why is the brain able to learn tasks, for example driving, at a much less energy cost than Machine learning models?
From a quick google search it seems like it took about 55 ...
- 165
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Measuring "complexity"
A recently popular idea in the quantum theory of black holes is that there is an isomorphism between the interior state's volume and the computational complexity of the CFT dual (in an AdS/CFT setting)...
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Is it generally possible to determine how long it takes for a system to reach its stationary state, without simulation?
Let's say I'm dealing with the heat equation with some initial and boundary conditions, for example example our system can be a $1 \times 1$ metallic plate. Assuming that the initial temperature ...
- 3,430
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Why do good materials operate in non-equilibirium conditions?
If we look at the majority of useful or industrial materials surrounding us, like metallic alloys, glasses, ceramics, or plastics, it is often the case that these materials went through really hard ...
- 905
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Is a thermodynamic state variable the same as a Thermodynamic propertie and vice versa?
Is a Thermodynamic propertie (https://www.wikiwand.com/en/List_of_thermodynamic_properties) the same as a state variable (https://www.wikiwand.com/en/State_variables) ? Also the properties site says:
...
- 153
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Thermodynamic System, link between state variable, state function, property and characteristics
Until now I imagine the whole thing like this:
The set of necessary independent state variables spans the state space, i.e. my thermodynamic system.
However, a state function can also be a state ...
- 153
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105
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A quick introduction to Complex Ginzburg-Landau Equation
The complex Ginzburg-Landau equation is given as follows:
$$
\partial_{t} A=A+(1+i b) \Delta A-(1+i c)|A|^{2} A.
$$
For some reasons, I need to quickly understand what the parameters in the equation ...
4
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A general way to combine equilibrium constants in reaction networks?
I have a network of states, each linked with neighboring states by unique forward and reverse transition rates ($k_{f}$ and $k_{r}$) - let's just say these are chemical species with multiple ...
- 95
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Do you know dynamical formulas for hydraulic cylinders, motors and pumps?
I'm looking for dynamic differential equations for hydraulic cylinders, motors and pumps.
I have one differential equation for a hydraulic cylinder, but I'm not sure if it's correct.
Assume a ...
- 161
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Why did Poincaré's recurrence theorem represent Harm to Kinetic Theory of Gases?
Poincaré's recurrence theorem remained as far as I know, unproven until 1919 when Caratheodóry proved it. Why then did it represent an issue to Boltzmann? Boltzmann died in 1906, did he not know about ...
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Nutrient turning into bacteria according to the Slow Growth Law instead of the 2nd Law
I'm reading a paper by Charles H. Bennett on different metrics for complexity in the physical world: http://cqi.inf.usi.ch/qic/94_Bennett.pdf
In a paragraph on page 35, where he describes ...
- 111
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necessary and sufficient conditions for an isolated dynamical system which can approach thermal equilibrium automatically
Given an isolated $N$-particle system with only two body interaction, that is
$$H=\sum_{i=1}^N\frac{\mathbf{p}_i^2}{2m}+\sum_{i<j}V(\mathbf{r}_i-\mathbf{r}_j)$$
In the thermodynamic limit, that ...
- 6,071
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Is there a thermodynamic law or theorem that expresses how systems "break" or "change" when enough energy is added?
I have a simple question about thermodynamic laws, and I am hoping you can help me.
Let's say that I have a sphere container with some pressurized gas in it. I can slowly increase the pressure over ...
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What are the patterns appear after kernel averaging?
Having a 2D map filled uniformly by random values (Figure:top-left) to demonstrate a disordered phenomena, the next maps are ...
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