3.1.1
Introduction:
In part 3 of this paper, we shall examine population inversions as
they apply to electromagnets. In particular, we shall discover that
when viewed from the perspective of inverted populations, many
devices reported as exhibiting phenomena or behavior, inconsistent
with the second law of thermodynamics, are in fact, fully compliant
with the second law of thermodynamics.
3.1.2
Paramagnetic materials:
Any material with un-paired electron spins will exhibit magnetic
properties to a greater or lesser extent. These un-paired electrons
will spin align with the applied magnetic field. In paramagnetic
materials, the spin alignment disappears when the magnetic field is
removed. Materials that are easily polarized produce a greater
paramagnetic response. In thermodynamic terms, the paramagnetic
properties of un-paired electrons represent separate degrees of
freedom (dimensions in phase space) in addition to the normal
degrees of freedom (vibration and movement) possessed by all
materials.
Further, unlike atomic or molecular vibration/movement which exhibit
strong coupling between dimensions in phase space (degrees of
freedom), electron spin alignment is (in most cases) only weakly
coupled to other dimensions of phase space. For this reason, it is
appropriate to consider paramagnetic materials as consisting of two
separate populations (electron spins, and bulk vibration/movement)
interconnected through a large thermal resistance. Therefore, in
many situations, each population will posses separate numerical
values for entropy, energy, and temperature.
In the presence of a magnetic field, the rules of quantum
electrodynamics require the un-paired electron spins be either
aligned, or anti-aligned to the magnetic field vector (two
dimensions in phase space). Therefore, un-paired electron spins in
paramagnetic materials represent an excellent material for
constructing an inverted population boiler (2.1.4, 2.2.1, 2.2.4).
3.1.4
The inductor:
An inductor consists of an insulated wire, wrapped around a
paramagnetic material, generally called the core. Inductors exhibit
the curious behavior of opposing any change in the flow of current
through the insulated wire. This electrical behavior is well
understood by most scientists and engineers. However, it seems that
few scientists or engineers have ever bothered to consider the
thermodynamic consequences of this behavior as it applies to the
paramagnetic material comprising the core of the inductor. Figure
2a shows an inductor, connected to a battery, through a switch.
When the switch is closed, an electric current starts to flow
through the inductor, increasing linearly over time as shown in
figure 2b.
Figure 2
Consider the population of un-paired electron spins in the
paramagnetic core of the inductor, at the instants just before, and
just after the switch is closed.
Before the switch is closed, there is no un-paired electron spin
alignment, and therefore the un-paired electron spins have nearly
limitless dimensions in phase space (degrees of freedom), AND the
un-paired electron spin population is in thermal equilibrium with
the bulk population.
After the switch is closed, phase space collapses to just 2
dimensions, because the un-paired electron spins must be either be
aligned or anti-aligned to the applied magnetic field (3.1.2), AND
since the paramagnetic polarization at this instant is zero (origin
point in figure 2b), it follows that 50% are spin aligned, and 50%
are anti-spin aligned. Therefore, the temperature of the un-paired
electron spin population is infinite (2.1.4), and obviously no
longer in thermal equilibrium with the bulk population (heat flows
from spin population into bulk population).
Next, as the current flowing through the inductor to rises, so does
the magnetic field, thereby increasing paramagnetic polarization.
Anti-aligned electron spins are flipping into alignment with the
magnetic field, and since entropy is declining as energy flows into
the magnetic field (the battery is doing work on the inductor), Eq.
2b (part 2) implies the temperature of the electron spin population
is now negative (hotter than infinity), AND declining (2.1.4 figure
1). The situation is analogous to compressing a gas, where heat
flows out of the hot gas, and into the container walls, except our
"magnetic gas" is an inverted population (2.2.1, 2.2.4).
3.1.5
Inductive collapse:
Referring to figures 2a, and 2b (above), when the switch is opened
current flow can not cease instantly. The energy stored as
un-paired electron spin alignments in the paramagnetic core must be
removed (or dissipated) from the inductor before current can stop
flowing. The extreme case is represented by opening the switch,
thereby causing an interruption of current flow, and results in an
electrical arc across the switch contacts.
Consider the population of un-paired electron spins in the
paramagnetic core of the inductor at the instants just before and
after the switch is opened.
Before the switch was opened, current flow was rising (the battery
was doing work on the inductor), un-paired electron spin alignment
was increasing, electron spin temperature was negative and declining
(inverted population), and heat was flowing out of the electron spin
population, and into the bulk population (3.1.3).
After the switch is opened, the inductor must now do work on the
rest of the electrical circuit in order to dissipate the energy
stored in the magnetic field, supported by the un-paired electron
spin alignments in the paramagnetic core. However the un-paired
electron spins can not spontaneously depolarize without gaining back
the heat lost during alignment. And since the energy contained in
the inductor is being dissipated very quickly (by the arc), heat
lost during alignment must now flow back into the un-paired electron
spins very quickly as well. The ONLY available avenue for the
un-paired electron spin population to achieve rapid heat inflow, is
for it's temperature to drop BELOW the temperature of the bulk
population. The situation is analogous to the explosive
decompression of a gas, except of course our "magnetic gas" is an
inverted population.
3.2.1
The magneto-thermodynamic engine cycle:
The magneto-thermodynamic engine cycle consists of three steps:
3.2.2
Theory of operation:
The magneto-thermodynamic cycle theory of operation assumes the
following two conditions.
Operating Conditions
Step 1 (isothermal magnetization) shifts the un-paired electron spin
population of the inductor core into an inverted population state
(2.1.4, 2.2.1, 3.1.4). During this step, as un-paired electron
spins align with the applied magnetic field, the entropy of the
population declines, and heat flows out of the un-paired electron
spin population, and into the bulk material population (3.1.2).
Step 2 (adiabatic demagnetization) causes a rapid decline in the
temperature of the un-paired electron spin population (3.1.5).
During this decline in temperature, the un-paired electron spin
population momentarily dips below the Curie transition temperature
(3.1.3), thereby causing a momentary rise in total magnetic flux as
ferromagnetic spin coupling forces contribute to overall un-paired
electron spin alignment. This momentary flux increase represents an
additional increment of electromagnetic energy (beyond the energy
stored in the inductor during step 1), available to the driven
circuit. Therefore the electromagnetic energy derived from the
inductor during step 2, is greater than the electromagnetic energy
stored in the inductor during step 1.
Step 3 (thermal equalization) Allows sufficient time for the heat
deficient (caused by step 2), to be replenished from the ambient
environment.
As a practical consequence of the two conditions (listed above), the
magneto-thermodynamic heat engine will operate from ambient heat
sources, without requiring a lower temperature condenser to dump
waste heat. In other words, the magneto-thermodynamic heat engine
is a "perpetuam mobile of the second type", and satisfies ALL
requirements of James C. Maxwell's Daemon, as he envisioned it.
Next, we shall cover each step in detail.
3.2.3
Step 1, Isothermal magnetization:
In figure 2a (above) the rate of change in current flow is set by
the ratio of electric potential (voltage) to inductance as shown in
Eq. 6.
Where:
The rate of change in current flow can be made arbitrarily small, by
making the ratio of electric potential to inductance small as well.
Since the degree of un-paired electron spin polarization is directly
dependent on the magnitude of current flow through the inductor. It
follows that a small rate of change in current flow will yield an
equally small rate of change in un-paired electron spin
polarization, and this will result in a small rate of heat outflow
(into the bulk material population), and therefore a small
temperature rise across the thermal resistance separating the
un-paired electron spin population from the bulk material population
(3.1.2, 3.1.4), thereby causing the smallest possible decline in
magnetic susceptibility of the paramagnetic core of the inductor
(3.1.3).
Strictly speaking step one is NOT isothermal. However by proper
circuit design and choice of paramagnetic core material, the decline
of magnetic susceptibility in the core of the inductor can be
minimized, which is the ideal condition for this step.
This step represents the compression stroke of our engine.
3.2.4
Step 2, Adiabatic demagnetization:
The time required for inductive collapse is set by the ratio of
inductance to driven circuit impedance as shown by Eq 7.
Where:
The length of time required for inductive collapse can be made
arbitrarily short, by making the driven circuit impedance very
large.
The purpose of this step is to force the temperature of the
un-paired electron spin population to fall below the Curie
transition temperature (3.1.3, 3.1.5, 3.2.2), and thereby cause the
magnetic susceptibility of the core to become infinite (onset of
ferromagnetic behavior). The ideal condition is met when the rate
of change in the magnetic field of the inductor never drops to zero.
If the un-paired electron spin population temperature become too
cold, the core will momentarily "freeze" in the ferromagnetic state,
thereby causing the rate of change in the magnetic field to become
zero.
During this step, the heat inflow to the un-paired electron spin
population from the bulk material population is greater than the
heat outflow during step 1 (3.2.3). The reason being that heat
inflow must overcome both the electron spin coupling forces caused
by passage through Curie transition, as well as the regular
paramagnetic polarization. Conversely, the electrical energy
delivered to the driven circuit by the inductor during this step, is
larger than the electrical energy stored in the inductor during step
1.
In effect, step two has converted quantity of thermal energy into
electrical energy.
Strictly speaking step two is NOT adiabatic. However, by proper
circuit design and choice of paramagnetic core materials, the rise
in magnetic susceptibility during this step can be made sufficiently
large.
This step represents the power stroke of our engine.
3.2.5
Step 3, Thermal equalization:
As the name implies, the purpose of this step is to allow the
electron spin population and the bulk material population to once
more, achieve thermal equilibrium with the ambient environment.
While in the strict sense of the magneto-thermodynamic cycle, this
step is not required, it's inclusion greatly simplifies circuit
design.
This step represents the intake stroke of our engine.
Further, NO exhaust stroke is required, since our engine
utilizes an inverted population of un-paired electron spins, as it's
"working fluid" (2.2.4).
3.3.1
Summary:
The fringes of scientific research are literally teeming with
reports of inductive kickback devices that exhibit anti-entropic
behavior or phenomena. Most are dismissed as the rantings of
crackpots and lunatics. This paper presents a coherent rational
explanation, based on proven scientific principals, in support of
these devices, and the phenomena observed. It is also intended as a
"how to" guide for current and future researchers in achieving
optimal performance from their devices. To those free thinking
individuals, operating at the boundaries of knowledge, I dedicate
this paper.
3.3.2
Conclusions:
That un-paired electron spins in paramagnetic materials will exhibit
the characteristics of an inverted population (3.1.4). That a
population of un-paired electron spins can be made to interact with
the zero point energy of electrodynamic space, thereby capturing
thermal energy, and making it available for work (3.1.2, 3.1.3,
3.1.5, 3.2.2, 3.2.4). That a cyclic heat engine, based on a working
fluid, utilizing an inverted population of un-paired electron spins
is possible (3.2.1, 3.2.2). That said engine will exhibit
anti-entropic behavior fully consistent with the principals of James
C. Maxwell's Daemon (3.2.2, 3.2.4, 3.2.5). That said engine is in
fact, a perpetual motion device of the second type (3.2.2, 3.2.4,
3.2.5).
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